HP HP-27S, Owner'S Manual

Page 1: ...D Scientific Calculator Owner s Manual ...

Page 2: ... portions of memory 3 Enter data 4 Move through lists 5 Shift Key 6 Calculator OFF 7 Calculator ON clear calculator line 8 Available memory 9 Full precision of number 10 Display format modes 1 1 Print calculator line 12 Numeric and control menus 13 Applications 14 Backspace 15 Previous menu 16 MAIN display l l fi D cr HYP q rt tl ...

Page 3: ... L l llP 27s Scientific Galculator V v r v r V s Ownerts Manual HEWLETI PACKARD Edition 2 February 1988 Reorder Nurnber A0027 90028 ...

Page 4: ...h the furnishing performance ot use of this manual or the keystroke Programs contained herein o Hewlett Packard Co 1987 All rights reserved Reproduction ad aptation or translation of this manual including any Prograrils is piohibited without prior written permission of Hewlett Packard Com pany except as atlowed under the copyright laws Hewlett Packard bo pany grants you the right to use any progra...

Page 5: ...Printing History Edition I Edition 2 October 1987 February 1988 Mfg No 00427 90029 Mfg No 00027 90046 v v r tJ t x ...

Page 6: ...e MAIN Display and Menus The Calculator Line Display Messages Annunciators The Keyboard The I Shift K y The l lNPUfl Key Editing and Clearing the Calculator Line Viewing the History Stack With E and E Menu Keys Clearing Portions of Memory With TM Using Menus Applications Numeric Function Menus Control Menus Calculations With Variables in Menus Display Mode and Format of Numbers Gontents ...

Page 7: ...ng an Equation 2 42 42 42 43 43 45 46 46 49 51 53 53 59 60 61 62 Keyboard Arithmetic and J umeric Functions The Calculator Line Arithmetic Operators Chain Calculations Operator Priority Using Parentheses in Calculations Reusing the Previous Result LAm Using Registers Numeric Functions General Functions Logarithmic Functions Trigonometric and Angle Functions Probability Functions Hyperbolic Functio...

Page 8: ...able Statistics Statistics Operations With TWo Lists Linear Regression Curve Fitting and Estimation Weighted Mean and Grouped Standard Deviation Summation Statistics 5 89 90 91 92 93 93 94 94 95 95 The Equation Solver Entering the SOLVE Application Entering Equations Doing Solver Calculations Clearing Solver Variables Viewing and Editing the Equation Naming an Equation Shared Solver Variables Dele...

Page 9: ...Entering the TVM Application l2O Cash Flow Diagrams and Sign Convention 122 TVM Calculations 122 Clearing the TVM Variables 123 Loan Calculations 127 Savings Calculations 30 Amortization v 131 Displaying an Amortization Schedule 134 Printing an Amortization Schedule v 7 136 Time Appointments and Date Arithmetic v 136 Viewing the Time and Date r 137 Setting the Time and Date 139 Changing the Time a...

Page 10: ...scriptive Messages Trace Printing Interrupting the Printer 9 r54 154 t54 r56 r58 t60 t63 r65 r66 r68 171 172 t76 r79 r8r r83 t86 r88 Additional Examples Vector Calculations Adding TWo Vectors in Polar Coordinates Angle Between TWo Vectors Projection of One Vector on Another Laws of Sines and Cosines Probability Calculations Simulating a Toss of Dice Motion of a Projectile The Catenary Equation Dis...

Page 11: ...y 197 Environmental Limits v 197 Determining If the Calculator Requires Service v 198 Confirming Calculator Operation The Self Test 199 Limited One Year Warranty v 199 A hat Is Covered v 2OO What Is Not Covered 20O Consumer Transactions in the United Kingdom v 2O1 If the Calculator Requires Service 2O1 Obtaining Service 2O1 Service Charge v 2O2 Shipping Instructions 2O2 Warranty on Service 2O2 Ser...

Page 12: ...ver s Ability to Find a Root Cases Where A Root is Displayed Cases la and 1b Case 2 Solutions Case 3 Bad Guesses Case 4 When a Solution Isn t Found Round off Error c 226 226 228 229 230 231 Equations Used by HP 27S f lenus SOLVE Statistics Curve Fitting TVM Numeric Function Menus D 232 llenu ilaps and Tables 238 Error Messages 243 lnder ro Gontents ...

Page 13: ...in a Chain Calculation Writing a Solver Equation for Radioactive Decay Typi g the Radioactive Decay Equation Editing the Radioactive Decay Equation Carbon l4 Dating 3 Base Conversions Converting Between Arithmetic in HEX and Base Arithmetic Bases OCT and BIN Bases 64 67 4 Statistics Updatirg a Checkbook One Variable Statistics Calculations Curve Fitting and Estimation Calculations Weighted Mean an...

Page 14: ...A Mortgage With a Balloon Payment A SavingJ Account An Individual Retirement Account Displaying an Amortization Schedule Printing an Amortization Schedule 123 124 125 127 129 132 134 7 Time Appointments and Date Arithmetic Setting the Date and Time Setting and Clearing an Appointment Calculating the Number of Days Between TWo Dates Determining a Future Date 139 144 146 147 I 752 Printing Trace Pri...

Page 15: ...a Lease Payment v 174 Present Capitalized Value of a Lease With v n6 1Jff iJHi 1 llf option to Buv r 179 Finding Several Roots of a Function 181 Moving Average v 183 Chisquared 1121 Statistics 186 Calculating Subtotals 188 Number of Days Until a Special Day r B llore About the Soluer 272 A Case 1 Solution With One Root 212 A Case 1 Solution With TWo Roots v 214 A Discontinuous Function 216 A Case ...

Page 16: ...hroughout the manual I The HP 275 does keyboard arithmetic using algebraic logic If you are unfamiliar with this way of doing arithmetic calculations please read pages 43 through 45 in chapter 2 before you do multi step qa lculations t There are several ways to the subject index the list pendix D r Before doing time value of money problems learn how the calcu lator uses positive and negative numbe...

Page 17: ...tor has Continulus Memary turning it off does not affect the information you ve stored To conserve energy the calculator turns itself off 10 minutes after you stop using it If you see the low battery annunciator at the top of the dis Play you should replace the batteries as soon as possible using the instructions on page L92 The Display The Display Contrast To adjust the display contrast hold down...

Page 18: ...the top line Previous result 3r EEBB Calculator line The next illustration shows the configuration of the display after you Press ltqorwERil I followed by E The calculator line is now the toP line and the bottom line displays the CONVERT menu The menu consists of labels that describe the current function of the menu keys at the top of the keyboard Calculator line CONVERT menu 27sl SCIENTIFIC 8161 ...

Page 19: ...Display Menus If necessatf press I rvrnlrrr I to erase the menu labels Then k y in these calculations to see how the HP 27S displays the results of previ ous calculations 28 6711E 7 s412 A 1ooE25E 25 E 12 44 6eE56H The calculator retains four lines of information the calculator line and the three previous results These four lines are the history stsck History stack eB 7e99 185 EBEE E E E a 8161 3r...

Page 20: ...lates lg x 12 6g If you Press an operator k y after completing a calculation the previ ous result remains in the calculator line Keys 24 71 5 f Display e4 715 e4E geBE 115 5 356 4e88 You can do chain calculations 6 9 81 5 35 E 36 e 158 Description Calculates 2352 Completes the calculation without using f after each step Pressing displays the intermediate answer f 11s s r Completes the calculation ...

Page 21: ...r K y in the number and press W r If the number follows an operator you can press E before keying in the number Keys 75w E3E 4 52 E E 7 1 E 128 Display 75 E5 BBBB 6743 Description Changes the sign of 75 Calculates 75 3 p after fJ changes the sign of 7 1 Exceeding the Display Width When the calculator line cont ains 22 characters information scrolls off the left side of the display and three dots a...

Page 22: ...alculations These messages are covered in chapter 5 Messages do not affect the history stack The messages are cleared when you continue what you were doing by pressing an appropriate kuy Tlo clear error messages without doing anything else press ITLRI or E Annunciators The display has five annunciators to indicate the current status of the calculator Table I 1 Annunciators Annuneiator lleaning _ b...

Page 23: ...PUfl kuy is used in certain applications to enter information into memory You can also use llr tpuT I in place of p in arithmetic calculations Using I ttww I is covered where it is used throughout the manual Editing and Glearing the Galculator Line When the cursor is visible E ackspace deletes the last character you keyed in When the cursor is not visible E deletes the number furthest to the right...

Page 24: ...h menus The menu keys have shifted functi F x2 etc that do not change as you switch menus When menu labels are absentr 1lou can use these functions without pressing l Glearing Fortions of Memory With l lmclearsthehistorystack thecalculator1ineandthe threepreviousresu1ts IncertainmenuS l a1soclears dataassociatedwiththatmenu UsingI tocleardataas sociated with menus is covered throughout the manual ...

Page 25: ...level menu in that application Menus branching from the top level menu allow you to access all the functionality in the application For example pressing fl ril rtEl displays the TIME menu the top level menu in the TIME application Each k y in the TIME menu displays another menu r Numeric functions Numeric function menus extend the number of numeric functions available from the keyboard For example...

Page 26: ...adeci mal octal binary Probability permutations combinations facto rial random number Hyperbolic and inverse hyperbolic functions Convert between t Degrees and radians I Hours Decimal hours and Hours M in utesSeconds t Polar and rectangular coordinates Percent chanEe between two numbers Number altering functions integer part abso lute value etc 3 2 2 2 2 2 2 2 ItludDest tt pR tNtrER I Gontrol Menu...

Page 27: ... function of several other keys Use lml to displuy the previous menu Exiting from the top level of an application restores the MAIN display Use tlrrltAtN to leave the application and restore the MAIN display It MAIN s c A I lm TAT menu t l ALC menu CALC INSR DELET NAME GET TOTAL I TOTAL MEAN MEDN STDEV RANG MORE MIN MAX SORT FRCST MORE Figure l 2 An Application Menu Map INSR DELET NAME Getting Sta...

Page 28: ...applications applic4lion key for example f I srnrl performs two exit from the previous application and entry into the of the new application to another You pressing an operations an top level menu MAIN Display TIME MSG HELP Figure l 3 Switching Applications APT 3 Menu A PM 26 l Getting Started ...

Page 29: ...s can be used within applications without leaving the application STAT application TOTAL CALC GET o o GHG menu lt cHc I I ruEw I fexnt MORE OLD CH TOTAL MEDN RANG Figure l 4 Using a Numeric Function Menu in an Application Numeric function menus replace one another see figure 1 5 For ex ample if you display the CHG menu and then switch to the HYP menu tExtrl does not return to the CHG menu DELET l ...

Page 30: ... Menus Many application and numeric function menus do calculations using a set of variables accessed by menu keys The variables are a named location in calculator memory You use the menu keys to store num bers into the known variables and to solve for the unknown variable Example Galculating the Percent Ghange Between TWo t umbers Calculate the percent change between 37 5 and 55 5 using the CHG me...

Page 31: ...i 1 r i l il li The rules for using menu variables are I To store a yalue k y in the number and press the menu k y If the calculator line contains an expression for example e f 5 B the expression is evaluated and the result in this case 100 is stored Tlo store only the rightmost numbe press lsrol before pressing the menu k y Also use lsro I to store a number on the calculator line that was previou...

Page 32: ...store only or calculate only The menu maps in appendix D indicate these variables Example Using the o oCHG Menu in a Ghain Galculation Add the percent change between 16 and 25 to the product of 45 x 95 lSrol is used to store only the rightmost number on the calculator line Keys Display Description Calculates the product Stores 16 in OLD Stores 25 in NEI V Calculates o oCH Completes the calculation...

Page 33: ... mode displays 3 I4L6 Internally the number is stored as 3 4159265359 x 19000 Specifying the llumber of Displayed Decimal Places FlX Model Tlo specify the number of displayed decimal places I Press It MopESl 2 Press Wffi Key in the number of decimal places an integer from 0 to 11 and press l rNPUfl During complex internal calculations the Hy 275 uses Is digit precision for intermediate results l G...

Page 34: ... places Displays 6 decimal places Restores four decimal places to be displayed in FIX for Sign of Power exponent of 1 0 Displaying the Full Precision of Numbers Tlo display numbers as precisely as possible up to a maximum of 12 digits press lt lmDesl ii Scientific and Engineering Notation Scientific Notation Scientific notation expresses a number as a mantissa with one digit to the left of the dec...

Page 35: ... v itst oiiii T o utioles or 3 ffiCrlrry a 2 34s67r v l 1 Mantissa 12 disits maximum v To specify engineering notation v l Press Tooesl then ffi v 2 Key in the number of significant digits to be displayed after the J first digit and press t tNpurl Keying in Jlumbers With Exponents Regardless of the current dis play mode you can always key in a number as a mantissa followed r by an s ponent v l Key...

Page 36: ...F EEE EBEF digit separatoq press IJ MoDESI Showing the Full Precision of a l umber v To temporarily view the full 7z diglt precision of the number in the calcu lator li ne pressl and then frotJaownlsndm If there are more than J two numbers in the calculator line only the rightmost number is shown Release ISHOWI to restore the calculator line _ Available Galculator Memory The HP 27S has approximate...

Page 37: ...sounds To change the beeper mode 1 Press lfrrio5esl ffi 2 Press ffi one or more times to change the mode until the HP 275 displays the appropriate message r EEEFER 0H I HPPT 0HLY The beeper sounds only when an appointment comes due I BEEPER 0FF The beeper does not sound r EEEPER ilH The beeper sounds when an appointment comes due and when error messages are displayed 3 Press lffil lntroducing the ...

Page 38: ...orm the Solver can interpret Optional spaces t HHT l H HE Solver function IYping Alphabetic lnformation The ALPHA menu is displayed when you press ffi ffi in the SOLVE menu and at other times when you need to enter alphabetic charac ters It allows you to type the characters that are not on the keyboard r Uppercase letters A through Z I Space r Various other characters includirg punctuation and non...

Page 39: ...ters for example N through a include a space character t The following keystrokes enter the radioactive decay equation You can use P to correct typing mistakes discovered right away Tlo do further editing refer to the next section Editirg Alphabetic Informa tion Example I ping the Radioactive Decay Equation Use these keystrokes to enter the equation K xT LN N N0 into the Solver Ag o4 Keys It solvE...

Page 40: ...plication keys IfsoLVEl l srArl etc are not active when the ALPHA menu is displayed Editing Alphabetic lnformation The ALPHA menu has a companion menu the ALPHA edit menu which is displayed when you exit from the ALPHA menu or when you press 1 Fro in the SOLVE menu SOLVE menu A t I tExrrf I I ALPHA edit menu A lmn I ALPHA menu CALC ABCDE FGHI JKLM NOPQ RSTUV WXYZ The ALPHA edit menu is skipped ove...

Page 41: ...one display width to the left Moves the cursor one position to the left Moves the cursor one position to the right Moves the cursor to the right side of the display when pressed again moves the cursor one display width to the right Displays the ALPHA menu Backspace erases the character to the left of the cursor Clears the calculator line Example Editing the Radioactive Decay Equation Name the ra d...

Page 42: ...3 iffi fu ffi HB 1F FBB ff Tuffi T 8 ges P5EI E EBEE IilIIEICil Example Garbon 4 Dating Wood on the outer surface of a giant sequoia tree exchanges carbon with its environment The radioactivity of this wood is 15 3 counts per minute per gram of carbon A sample of wood from the center of the tree yields 10 9 counts per minute per gram of carbon The rate constant for the radioactive form of carbon r...

Page 43: ...required for half v the material present to decay v 1 ilI H t gBBo N lis derived from the ratio N No r z when t tt r 2 ffi HE e BBEB Stores Ng v EXlTt r l r v v r v v v iffi T s TT6 aa65 Calculates half life Displays the SOLVE menu I r Getting Started 4l ...

Page 44: ...2795 I les BBBg I Calculator line MAIN display tt eHGl _____ lEAI U CHG menu The calculator line can contain messages and labeled numbers such as I lEffH 1e4 68 Pressing an operator or numeric function kuy erases the label and continues the calculation For example pressing E 2 E ould calculate 124 6A plus 2 Arithmetic Operators v The following keyskokes illustrate simple arithmetic operations v U ...

Page 45: ...n Gatcutations v Chain calculations do a sequence of operations without pressing p v after each operation Chain calculations evaluate expressions using the system of operator priority described in the next section v Keys Display Description 750 EJ 12 E 9 900 6866 Calculates intermediate v value 360 l es eoso Completes the v ri calculation Operator Priority Some chain calculations might be interpre...

Page 46: ... Adds 5 x 72 to 372 Completes the calculation uses a system of operator priority to evaluate expres E exponentiation Highest priority f o E f Lowest The HP 275 calculates an intermediate result when the next operator you kuy in has lower or equal priority Calculate g 12 3 Calculate 4 x 73 plus 5 x 72 plus 6 4 lT IE 4 sEEBHp BEEE If a calculation requires that operations be done in an order inconsi...

Page 47: ...ulate 85 12 30 E E 8s E 3s oBBE Bs 6o6s nilHlf ot v 12 J 86 gg0o 3 ssss I evaluates inside of parentheses fil 6 411sx Calculates 30 73 lJ 016 9E 8 9 4119x8 99s8 evaluates contents pf Parentheses v lE o 4t tsxa eBBs Calculates y 9 v f 1 2 69 Completes the calculation Closing parentheses at the end of the otpression can be omitted For e ample 25 3x 9 12 p is equivalent to 25 3x 9 tZ E 2 Keyboard Ari...

Page 48: ...6 from becoming last Third answer Using Registers The HP 275 has 10 registers for storing numbers Rg through Re They are accessed using snO and EeR r rcTol n where n is an integer 0 through g copies the rightmost number in the calculator line to the designated register The num ber is copied with full precision I tRTLI n coptes the contents of R to the calculator line The number is displayed in the...

Page 49: ...necessary r to clear a register before storing a value since 13T6 n replaces the pre vious value with the new value Furthermore the registers are not r accessed by any applications or functions v Arithmetic in Registers Table 2 1 describes the arithmetic opera v tions that can be performed on numbers stored in registers v r rr Table 2 1 Arithmetic in Registers Keys New Number in Register Isro lp n...

Page 50: ...ription Stores 1 A97 in Rs Stores 25 5671 in R1 First answer Recalls contents of Ro and starts a new calcula tion Calculator awaits register number Adds 10 to contents of Rl Contents of Rl replace rightmost number Second answer You can also do arithmetic with the values stored in variables For example 2 fsro lE in the CHG menu multiplies the cur rent contents of OLD by 2 and stores the product in ...

Page 51: ...gonometric and angle functions v r De ees radians angle modes v lr r r SIN COS TAN ASIN ACOS ATAN v r Angle and coordinate conversions degrees radians Hours Decimal hours Hours Minutes Seconds polar rectangular v coordinates CONVERT menu v r Probability functions factorial random number combinations Per mutations PROB menu r Hyperbolic and inverse hyperbolic functions HYP menu I Number altering fu...

Page 52: ...Figure 2 1 Numeric Function llenus 50 srNH lrnruH lncosH X CX Y N COSH ASNH ATNH Q SOLVE STAT TVM TIME tI E E tr tt DEG RAD XCORD YCORD 2 Keyboard Arithmetic and Numeric Functions ...

Page 53: ...ed to use I before B in MAIN display Description Divides 27 by L00 Calculates 27o o of 85 3 Calculates 25 of 200 Completes the calculation Percent The lE function performs two different operations r When there is only one number in the calculator line or when the operator preceding the rightmost number is anything but or IE divides the rightmost number by 100 r When or precedes the rightmost numbe...

Page 54: ... Stores OLD 316 8 HEH 816 sBgB StoresNEW 4CHRHGE B Eg4Z Calculates percent change To do a percent change calculation in the middte of a chain calcula tion you must use f SEl with the menu k y see the rules for using menu variables on Page 29 The followitg keystrokes calculate 65 X 1 2 x jhe number 45o o larger than 80 65 I 12 E pBB BBBBx 80 lsro I 45 fsrol ffi ffi 98 4gE BBBB 788 BBB6X8g ggBB Stor...

Page 55: ...ithm of the sum Compare to previous result Trigonometric and Angle Functions Trigonometric Mode The two trigonometric modes Degrees and Radians determine how numbers are interpreted when using the trigonometric and coordinate conversion functions Degrees mode assumes that all angles are measured in decimal degrees rather than Degrees MinutesSeconds In Radians mode all angles are measured in radian...

Page 56: ...ur rent display format Find the surface area of a sphere with radius 4 5 inches surface area 4rr2 Keys Display 4ElE 4 BBEBxr t416 E s lB 1e s664xeg eF6E f es4 4E9B Description Displays 7r Surface area in square inches Trigonometric Functions The trigonometric functions use the rightmost number in the calculator line Angles are interpreted in dec imal degrees or radians depending on the current ang...

Page 57: ...tions Menu Key Function irltrr i i r nr riit r il i r i r r i l lt rri ii i t i ii i i i ii I i iiifi ii l i i i i is i r ffij lS t ii f is if irlm fli To degrees converts the number from a radian value to its decimal degree equivalent To radians converts the number a from decimal degree value to its radian equivalent To hours converts the number from hours degrees minutes seconds decimal seconds ...

Page 58: ... 5 6835 3EE EEBE 98 3375 a5 1532 FULL FRECISIOH e5 153e84 Descriptionl Calculates 79n Converts 1 79r radians to degrees Converts 90 degrees 20 minutes 15 seconds to decimal degrees Converts to D MMSSss format I 25 degrees 15 minutes 32 04 seconds Exits the CONVERT menu 56 2 Keyboard Arithmetic and Numeric Functions ...

Page 59: ...ording to the current angle mode deci mal degrees or radians The menu contains q for switchitg between Degrees and Radians modes The same k y appears in the MODES menu see page 53 Store XCOORD and YCOORD Store R and 4 Displays XCOO RDt S i utflF H ffiffi H ffi i iint i i ir 1t1 n is tiiiiitil i i F Displays YCOORDT Calculates both R and 4 t Calculates both XCOORD and yCOORD 2 Keyboard Arithmetic a...

Page 60: ...ate Stores y coordinate Calculates R Calculates the angle Tio do coordinate conversions in the middle of a chain calculation use tsTol in conjunction with the menu k y The followirg keystrokes add 12 734 9 231 the r coordinate of the vector r 25 4 45o 12 734 r e 231 E 25 srol nt il1ffi irffi 45 srol il x ffi Hiffi E m _ e I 9658 Stores R e 1 g65B ES BEBE E 1 S65B 45 BEEB E I g65E 17 6ppP 39 6487 S...

Page 61: ...group of x items No items can occur more than once in an ar rangement and different orders of the same y items are counted separately Combinations of X objects taken Y ata time Permutations of X objects taken Y ala time Keys It pRoB it ii ii iJ i l i _1_ jaj i Ii ii iili i i i ri l i i 1ftF iliiii ij i liri ii ti i li i j i i ijii il 4 liii iiiij l i iii liiiliii iii iiiiji siiiti jii i i lii 1 ir...

Page 62: ...he number must be an integer in the range 0 through 253 Hyperbolic Functions The HYP menu provides the hyperbolic functions The functions use the rightmost number in the calculator line Table 2 5 Hyperbolic Functions Menu Key Function Menu Key Function Hyperbolic sine Hyperbolic cosine Hyperbolic tangent tTtffi u fn lnverse hyperbolic sine lnverse hyperbolic cosine lnverse hyperbolic tangent Keys ...

Page 63: ... i iii r i J nffi isilsLia ry ry n illiii q i i ii i llil ffi llir ii flJj i l u l i iili l itL iiffi 9 I4il i j lnteger part of the number Fractional part of the number the number without its integer part Rounds the number internally to the number of digits speci fied in the current FlX SCl or ENG display mode no rounding occurs in ALL mode Absolute value of the number Keys Display 12 3456789 E 1...

Page 64: ...lays a warning followed by 0 Overflow displays a warning and the largest positive or negative number possible Overflow Underflow Aar a Overflow A I 9 99999999999 x 1gaee lI 9 99999999999 x l gaes x 1 g ase of ltlumbers 10 4 2 2 1t1 eeol 1 x Figure Range 2 Keyboard Arithmetic and Numeric Functions ...

Page 65: ...lighted and numbers in the calculator line are converted to the new base Switching to HEX base displays the HEX menu which allows you to k y in letters A through F Exiting the HEX menu restores DEC base When you switch from DEC to any other base the integer part of the number is displayed in the new base Internally the l2 digit repre sentation of the decimal number is preserved When you switch bac...

Page 66: ...nvert 1 251x to binary octal and hexadecimal numbers Keys Display 125 lt BASil l es BBBB 1111181 Description Displays the BASE menu DEC base is active Converts 1 25rc to binary base Sets OCT base l251y L75s Sets HEX base 7758 7Drc Restores DEC base Sets HEX base Keys in hexadecimal number Converts 24FF to BIN base Exits BASE menu re stores DEC base L tmt Convert z4EFrc f i1 ffi Fffi 24 1i fffiffi5...

Page 67: ...on It BASE I 8738 rg ffi ryffi eeee FFF FFN B NE tExrrl s F3g BBFE Negative decimal number Range of HEX OGT and Blil Numbers v The 36 bit word size determines the range of numbers that can be represented in HEX OCT and BIN bases and the range of decimal v numbers that can be converted to other bases Table 3 1 Range of ilumbers for Base Conversions Base Largest Positive lnteger Largest Negative lnt...

Page 68: ...n tn 3 E11 3 E8 Description Sets scientific format L x 10 20 cannot be converted to OCT base Restores DEC base 3E11 cannot be converted to HEX base Exits BASE menu restores DEC base Clears calculator line sets display to four decimal places Keys It MopEs I riiiiril iil l Sliri ii l j iniiiiri i iir iri i1i f Ui ir i liirriiililii 0 tNPUr I rcLR I ll MopEs l ii ili iffitfiiffii fiii 4 ill iii ill l...

Page 69: ...ained Example Arithmetic in HEX OCT and BIN Bases Calculate LzFrc EgA16 Keys Display IfBnsEl l i l ii ri iiriiiir ti iiii iritllirs i ii H l I2FEEsAE Fce Calculate 7760s 4326s IExtrl 4 B41 EEBE Description Sets HEX base Adds hexadecimal numbers Exits HEX menu switches to DEC base FC9t6 404110 Switches to OCT base 404110 7711a i i l ffi ffi ffri i it iii i i i i i r i jii iii 1 iH ii j i j iH iI 77...

Page 70: ...result in BIN base represented in 36 bits display an positive or smallest negative Switches to HEX base Largest positive number Smallest negative number Add 5A016 plus 100L1002 5AO 5HB iTifiiffiiffilG ffir txi 1 lti ffi t1 161 1A1BBBBB E 1oo11oo fl 181 1 I tBl lBB Arithmetic results that cannot be overflow warning and the largest number j SEC 5AAAAAAAA E 4 E ouERFLor r TFFFFFFFF EBBBBBBBB E 6CCCCC...

Page 71: ...ni mum and or range largest minus smallest of the numbers in the list I Sort the list from smallest to largest number The followirg calculations use two number lists I Curve fitting and estimation calculations with four models linear linear regression exponential logarithmic and power I weighted mean and grouped standard deviation r summation statistics Dx zx zy zyT and zxy The number of lists you...

Page 72: ...ing the bottom of the list For example if the current list contained 50 numbers you would see ITEl l 51 When the STAI menu is displayed pressing a digit k y I tNp n or f erases the menu and displays the calculator line To restore the STAI menu press EXtrl Menu Keys Description fti u rli il ffi i fl ir iirj it r t ri lti j t 11 ij i1 i ll lffiffi tllrii ri j ij ii Ij j lipiiri J1 riir ji iiri intrf...

Page 73: ... into an empty list 1 K y in the first number or expression for example 2 E 7S During number entry the calculator line replaces the STAI menu You can restore the STAI menu by pressing t Extr l Prompt for ITEM 1 Calculator line 2 Press I lr rnn I to enter the number If the calculator line contains an exPression for example A EBEBxPF the expression is eval uated and the result is entered into the li...

Page 74: ...arrow keys to locate and display the incorrect value 2 K y in the correct value and press f lNPUTl lnserting a lumber To insert an item f If necess ar press I enr I to restore the STAI menu 2 Use the arrow keys to locate and display the place of insertion For example to insert a number between ITEM 6 and ITEM 7 display ITEM 7 3 Presstr ffitoinsertanewitem whichisinitial1ysetto0 4 K y in the value ...

Page 75: ... 65 3s 55 67 Update the checkbook by calculating the running balance v Keys Display ll MopE l ffiffi 2 tNpuTl v ltsrnrl Description Sets display to two deci mal places Enters the STAI application v If you want to preserve the current list skip the next step Instead name the list and then press W re ___E_ v lltiEAR p ArA Clears the list ffi ITEI t l 267 82nNFUn rTEl t z Enters beginning TorflL 6 BZ...

Page 76: ...ces Gopying a List Number to the Galculator Line To copy a number from the list to the calculator line display the item and press t RdLl t tt tPtJr l Naming and Renaming a List Naming lists allows you to have more than one list in memory A list must be named or cleared before you can switch to a different list Tlo name or rename the current list 1 Press itr 1 ffiffii 2 Rp or edit the name Rpi g al...

Page 77: ...Switching Lists and Greating New Lists v cETl v To switch to a different list or create a new list l If you haven t already done so name the current list r 2 Display the STAI menu and press W The GET menu con v tains a menu label for each named list plus WXW v 3 Press the appropriate menu key W displays a new empty list v Figure 4 1 illustrates switching between two lists named IANCHE3KS and FEBCH...

Page 78: ...ation Toc1earthecuITentlist preSSt then Ifthelist is named the HP 275 lets you choose whether or not to clear the name by displaying HLST ELEHR L I ST HHI IE Pressing ffi displays an empty nameless list Pressing retains the name and you will be viewing the empty named list One Variable Statistics Press to displuy the CALC menu which is described in table 4 2 All the menu keys except use the curren...

Page 79: ...n statistics The HP 27S calculates the sample standard deviation which assumes the list of numbeq s is a sampling of a larger complete set of data lf the list is the entire set of data the frde population standard deviation can be computed by calculating the mean of the original list placing that value into the list and then calculating the standard deviation lf you later edit the list you must de...

Page 80: ...gest number Keys lf srAfl li ittt ffi lr it i tc llti r ififfiEffi v iiitijlli r tl lsIGlBGll lx i iiljiffi ilLni iri Xtr tffiffirilE i iiiin ia i i li 1 i i 1 i lll t i l r ij t l 4 1 l Iril iiiiiilf hffi ffitr ii i iitiiti r 1s siir it lt il ii j it tiii r 1 1 t 1 f ii r t ii ti S itiii riii itri iri i f trLLlsitilfi t l i 1 u1i i llL i ltlI i i 1 i t il Display I IEHH 1t 9BBB STBEU 2 468 1 lHH ...

Page 81: ...ts one for the x variable and one ot the y variable The two lists must have the same number of items Table 4 g describes the contents of these lists Table 4 3 TWo List Operations Galculation Gontents of the List Designated the X Variable Gontents of the List Designated the Y Variable Curve fitting and estima tion summation statistics Weighted mean Grouped standard deviation x values Numbers Number...

Page 82: ...on coefficient is a number in the range 1 through 1 that measures how closely the data fits the calculated curve A value of 1 indi cates a perfect positive correlation 1 indicates a perfect negative correlation A value close to 0 indicates the curve is a poor fit Displays M For the linear model this is the slope Displays B For the linear model this is the y intercept I liffi j irj rr q Nsi s s nxr...

Page 83: ...You can select one of four curve fitting mod els see figure 4 2 For each model the HP 275 comPutes M B and the conelition coefficient You can also estimate y for a given r and vice versa Linear Curve Fit ffi Exponential Curve Fit ffi v r t Logarithmic Curve Fit ffi Power Curve Fit ffi t v Figure 4 2 Gurve Fitting Hodels Y B Mx 4z tatistics 8t ...

Page 84: ... r values and one for the y values The two items in an x A pair must have the same item number in each list Give both lists meaningful names You do not need to name the current list but niming it avoids possible confusion later 2 3 4 5 6 7 From the STAI menu press ffi then ffi PressffitodisplayamenuoflistnameS T1oselectthex variable press the aPpropriate menu kuy If the current list is unnamed pre...

Page 85: ...e the correlation coefficient and slopJ of the line Use lineir estimation to calculate the rate of the reaction when the concentration equals 0 09 moles liter Keys fsrArl Display l ITEl l l 05 ft PUTI 075 trrrt Purl 1 frNffil 12s flNpu Ll 2 ENPUTI ITEl l 6 T0THL B 55BB ffi ffi CONC EtPUil ITEl l 5 ffi ffi ITEl l 1 L25 20 Description Displays the STAI menu Clears the current list Enters the concent...

Page 86: ... STAI menu Names the list RATE Specities the list contain irg the r values Specifies the list contain ing the y values Do the following step if the current model is not linear ffi Selects the linear mod el ffi ffi ffi C0RR E gsgg Calculates the correlation coefficient ffi H E 1893 Calculates the slope 09 ffi c0HC 6 ggBB Stores CONC for estima tion calculation ffi RHTE B 61 13 Calculates the estima...

Page 87: ...ber in each list Give bottr lists meaningful names You do not need to name the cur rent list but naming it avoids possible confusion later 2 From the STAI menu press ffi then ffi 3 Pressffi DesignatethelistcontainingthenumberSasthe r variable by pressing the appropriate menu k y If the current list is unnamed pressing ffi selects it 4 Designate the list containing the weights or frequencies as the...

Page 88: ...puil 4 6 FNprrr I 4 7 tNpur I 4 1 ttNPUfl ITEt t s T0THL l Z 6FgE ffiffiffi PRICE f tNpr rrl ITEl t s ITE 1 250 FmUn 800 t NpUTl e00 tlNFFl 1000 ttNmfl rrEr t F T0THL 2 9SB BBBB I TEl l 5 Displays the STAI menu Names the list WEIGHT I TEl l 5 Keys tlsrATl tEXiTt WEIGHT f rNPUil Display SELECT H UHRIHBLE Description Displays the STAI menu Clears the current list Enters the numbers Displays the STAI...

Page 89: ...f x 2 345 3 456 4 567 l model iffi ffiJ Iitli j1i ti i lirli iT ili t i ir i 1 uri iIli i ir l ffi FuFffiB r t rlli i i I l i ffi i lls il l HrE 4tffi ffi J i E s 9 ti slffi ffi H f lH 4 4314 G Stl H e541 Display Specifies list containing the frequencies Calculates weighted mean Calculates grouped stan dard deviation Description Displays the STAI menu Clears the current list Enters data If you wan...

Page 90: ...fi ffi ffi EH 18 3689 EX 38 SgEs Selects current list as Jc and y vanables Calculates total same as previous TOTAL Calculates 2x2 J I i I t i l l _ l i l t L r i i I 1 i _ t vl i I l i I l i I I I i 8A 4 Statisties ...

Page 91: ...ree values are known The number of equations you can store and the number of variables in each equation are limited only by the amount of avaiable memory The complexity of equations the Solver can interpret is increased by the availability of the numeric functions in table 5 3 starting on Page 98 Example The Equation of llotion for Free Fall How far does an object fall in 5 seconds How long does i...

Page 92: ... the object falls fall 500 meters Stores DISTANCE Iterative solution for TIME During the iteratiae solution for TIME the Solver displays a series of estimates See Page 110 for additional information about iterative solutions Entering the solvE Application To enter the lgY f Press ltsoTvEl If there are no equations in mem oty the HP 275 displays the SOLVE menu and a rrug t HEI I FffR H rirfiTtErril...

Page 93: ...cular place use EJ or Tl to display the equation that will be above the new equation Pressing tE or lfJ moves to the toP or bottom of the list 3 Press ffi to display the ALPHA menu r Table 5 1 The SOTVE llenu llenu Key Description EdNSNS fffi filffi ffi ffi ffi sg w ffi Verifies the current equation and displays the menu of variables Displays the ALPHA edit menu and cursor for editing the cur rent...

Page 94: ...isplays the menu of variables The value of new variables is set to 0 If the equation breaks any syntax rules the HP 275 briefly displays IHUHLIB EQURTI0H and then displays the equation with the cursor positioned where an error was first detected To solve for a variable l Store a value in all but one of the variables To store each value kuy in the number and press the appropriate menu kuy 2 Optiona...

Page 95: ...earing variables sets them equal to 0 v Variables are cleared when the equation is edited v Viewing and Edating the Equation v Press W to display the ALPHA edit menu and cursor You can use the cursor movement keys to scroll through the equation If neces v sary use the ALPHA edit and ALPHA menus to make any changes r see page 36 for additional information about alpha entry and editing v If you ve e...

Page 96: ...alue is stored or calculated or until the variable is cleared or deleted Switchirg menus does not affect the stored value No sharing occurs between Solver variables and built in variables contained in menus outside the Solver For example a variable N in a Solver equation is not shared with the variable N in the TVM application Example Temperature Gonversions using shared Variables Convert 350oF to...

Page 97: ...tdelet ing its variables When the variables have been deleted the HP 275 displays BELETETHEEfiUHTI0H Pressingffiretainstheequation The next time you display the menu of variables memory is reallo cated to them When a shared variable is deleted its value is lost to any other equa tions that share the variable Deleting All Equations andtor Their Variables Tlo delete all Solver variables or all the e...

Page 98: ...bln 4 When a function has more than one argument the arguments are separated by u colon Functions are described in the next section Equations must obey the following syntax rules t Equation length is limited only by the amount of available memory ll Variable names contain a maximum of 10 characters Names can not begin with a number or decimal point The characters x n and space cannot be used in va...

Page 99: ...HCOORB T le I H 98 2 the Solver evaluates the v arguments T 12 and A 90 computes the value of the function v and then squares the function value v r You cannot use parentheses for implied multiplication For exam ple the expression P l F must be entered as Px 1 F The x operator must be inserted between p and the parenthesis v r You can use spaces to make the equation more readable as long as there ...

Page 100: ...Arc cosine t Hyperbolic arc cosine Common base 10 antilogarithm 1 0x 4 polar coordinate for x y rect angular coordinates t Arc sine t Hyperbolic arc sine Arc tangent t Hyperbolic arc tangent Current date Number of combinations of x items taken y at a time Cosine t Hyperbolic cosine tt PAffil ffiffi 4 NW r ffil Brs i 1 1l s tt Acosl It r ypl ffiffiffi t tlcoNVffil tfSrwt tliirp B mmsi li 1lSilEMliS...

Page 101: ...cal 3 for the 360 day calendar which uses 12 30 day months Converts x in radians to decimal degrees Natural antilogarithm ex ex 1 Factorial is an integer Fractional part Converts x in decimal hours de grees to H MMSS D MMSS format Converts x in H MMSS D MMSS format to decimal format lnteger part of the quotient of Itcoruvffil rtr ffiffiiffi i rl1i tr t 9 J s Bl Irlis l t r r s IB ttFR6tsl rgliliE ...

Page 102: ...lnteger part Returns value of ITEM x in the specified STAT list Natural base e log ln 1 x Common base 10 log of x Larger of x and y Smaller of x and y The remainder of the division x y MOD x y x y x INT x yl Permutations of x items taken y at a time r 3 1 41 59265359 1 2 digits Converts x in decimal degrees to radians R polar coordinate for x y rectan gular coordinates t Pseudo random number 0 r 1...

Page 103: ...of s to a final value at c2 Refer to page 1 08 for additional information Sine t Hyperbolic sine Returns the number of items in the specified STAT list Future value of a single 1 00 pay ment equivalent to 1 io o 100 n n is the number of compound ing periods io is the interest rate per compounding period expressed as a percentage Present value of a single t OO pay ment equivalent to 1 SPFV to o nl ...

Page 104: ...mber of payments i is the periodic interest rate expressed as a percentage b r Present value of a uniform series of 1 00 payments equivalent to USFV ro o tt T SPFV io o n n is the number of payments i is the peri odic interest rate expressed as a percentage coordinates t coordinates t y coordinate of polar x coordinate of polar rtf l trAN It Hypl WNN ItcoNVERrl ffi ffi tlcoNVERr l ffi ffi Uses the...

Page 105: ...on states that when the conditional expression is true 0 X 10 then Y 3X3 45X2 350 otherwise Y 1000 v Conditional expressions can contain the logical and relational oper ators described in tables 5 4 and 5 5 Table 5 4 Operators Used in Gonditional Expressions Logical Operators Relational Operators AND OR XOR NOT Greater than Less than Equal to Greater than or equal to Less than or equal to Not equa...

Page 106: ...ples of equations using the IF function Equation B IF r H HHB Fl lF exH 6 IxH 18 lnterpretation If 7 wise B 3xA 10 C Equation uffLUE F I Rsr I F H0T F I Rsr E 1 F I Rsr E lnterpretation If FIRST 0 then VALUE FIRST 1 FIRST If FIRST A then VALUE FIRST Equation T l lx I F H S H0R E E H E ffxg I lnterpretation T w x A B if A or B but not both equals 0 Otherwise T W x A x B In other words When A 0 and ...

Page 107: ...3 3 o 6o o 10o r Create a Solver equation that calculates employees new salaries based on their previous salary and rating Then calculate the new v annual salary for an employee with rating 2 who currently earns v 27 500 annually v L Press llsolVel then W 2 Iyp v HSFL OSRLx 1 IF R 1 I BJ IF R P BEr 1 t NFUTl 3 Press ffi ffi to verify the equation and display the menu of variables Keys Display Desc...

Page 108: ...se lf false use this expression this expression Solving for either KG or PND The S function appears within the IF function in the conditional ex pression In this case the conditional expression is true if you solve for KG or PND and false if you solve for anything else The algebraic expressions in the IF function are the two equations rewritten to gather all the terms on one side of the equation s...

Page 109: ...Descrlptlon v 225 puo as gggg Stores number of v pounds v KG 192 6449 Calculates number of v kilograms v How many feet equal 100 meters v 100 H 180 0696 Stores number of meters v n FT 328 togg Calculates number of v feet v The Solver always selects the equation based on the unknown vari v able For orample if you store 100 and then press f the Solver solves for PND using the kilogram pound equation...

Page 110: ...ous value The function returns the final summation For example when the the equation SER I ES E I I I 6 1 I xH I is solved for SERIES it uses the stored value of X to calculate X zxz 3X3 4X4 sxs 5X6 The counter I runs from 1 through 5 in steps of L that is 2 3 4 5 6 For each value l the expression I x X I is calculated and added to the sum The counter variable does not appear in the menu of variab...

Page 111: ...INH E I 0 I LffST I I I l IxH AxI 1 Ff CT Ax I t iN pu il 3 Press f to verify the equation and display the menu of v variables v Calculate the sine of r 2 radians v Keysr Dirpley Detcrlption v 10 LHST 16 BsoB Store ending value for I v lE E 2 stores angle in radians x l 5 98 v f s l oEBE Calculates sine v To typ E press n n v 5l The Equation Sotver lOg w ...

Page 112: ...r SIZES HVHR I 1 ITEl l HUHR I 2x ITEI I YUHR I 2 Calculating Subtotals on page 186 illustrates another application of the How the Solver Works Dirgct and lterative Solutions When you start a calculation the Solver attempts to find a direcf solution by algebraically rearranging the equation to isolate the unknovtm If a di rect solution is found the HP 275 displays the answer with no other informat...

Page 113: ...times the Solver approaches the answer During the iterative search the HP 27S displays the two current esti mates and the sign of LEFT R GHT for each estimate Gurrent estimates Halting and Restarting an lterative Search The iterative search can take several minutes You can halt the search by pressing any k y except Then press ot T LR I to see the best estimate the Solver has found To restart the s...

Page 114: ...calculation after you ve stored a value for every variable except the unknown If you enter one guess the Solver generates a second estimate r After you ve halted the iterative search r After the Solver has refurned an answex and you wish to search for another solution v To enter one guess key in the value and press the menu key Press v the menu key again to start the calculation For ocample 4 5 n ...

Page 115: ...comes of an lterative Solution Cases 1 2 3 and 4 describe the possible outcomes of an iterative v solution See appendix B for o amples of the four cases v Gase l The HP 27S displays an answer on the calculator line It is v aery l ely that the solver has found a solution v There are two sifuations in which the Solver returns a case 1 answer v see figure 5 1 v r Gase la LEFT RIGHT is exactly 0 r Gas...

Page 116: ...lue of right side of the equation for the answer The equation could have more than one solution If the answer does not seem reasonable enter one or two guesses and recalculate the answer Gase 2 The HP 275 beeps and displays the values of LEFT and R GHT for the answer The Solver has found a possible solution but you must use judgement in interpreting the results To view the answe4 press lml or J If...

Page 117: ...d the two esti mates are neighbors The Solver found two estimates that bracket an ideal solution a solution where LEFT R GHT equals 0 The answer may possibly be a solution It is more likely that the answer is a solution if LEFT and RIGHT are relatively close together than if they are relatively far apart I Gase 2b The signs of LEFT R GHT are opposite and the two esti mates are not neighbors You sh...

Page 118: ...r ke except restores the calculator line and menu of variables There may be a solution you can find by entering good guesses see Enterinf Guesses on page ll2 Gase 4 The HP 275 beeps and displays SoLUT I0H HoT FSUHE The Solver is unable to make progress towards a solution Make sure the equation has been entered correctly Also check the values of the known variables If the equation and variables are...

Page 119: ...s accounts pension funds and leases are examples of time value of money calculations Specifically the TVM application does calculations based on a series of cash flows money received or money paid where r The dollar amount is the same for each payment I The payments occur at regular intervals I The payment periods coincide with the compounding periods The TVM application also does amortization cal...

Page 120: ...sage describi g the current payment conditions the end of fffiflffifrrml ffll TVM Variables Top level TVM menu Change payment conditions and access amortization calculations The k y displays the second level menu which is used to change the payment conditions and to access the amortization AMRT menu I 18 6 Time Yalue of toney ...

Page 121: ...nd no payments are skipped Payments can occur at the beginning or end of each period Stores or calculates the future value a final cash flow or a compounded value of a series of previous cash flows PV PMTs FV always occurs at the end of the last period r 0rHER I lIrxrrl t t Second Level Stores the number of payments per year or compounding pe riods per year The value must be an integer in the rang...

Page 122: ...ve number The directions of the arrows for a transaction de pend on the point of view taken in the problem For example a loan is an initial positiae cash flow to the borrower and a negatiae cash flow for the lender see figures 6 l and 6 2 PV Loan Money re ceived is a positive number Equal periods Money paid out is a negative number PMT FV Figure 6 1 Loan From Borrower s Point of View FV PMT Loan F...

Page 123: ...lustrate payments occuoirg at the beginning and end of each period PV PMT FV Figure 6 3 Lease Payments at Beginning of Each Period PV Figure 6 4 Deposits lnto an Account at End of Each Period Capitalized value of lease 6 Time Value of toney l2l ...

Page 124: ...er and press the ap propriate menu k y 5 To calculate a value press the appropriate menu k y Some time value of money calculations require that certain variables be set to zero For example FV must be set to zeto when you are calculating the periodic payment PMn required to fully repay a loan There are two ways to set a value to zetoi tBeforestoringanyTVMvalues PresSl toclearthe TVM variables step ...

Page 125: ...down payment is 1 500 What are your monthly payments Assume payments start one month after purchase in other words at the end of the first period Also what interest rate would reduce your monthly puyment by 10 PV 7 250 1 500 FV 0 l YR 10 5 N 3x 12 P YR 12 End mode v Keys It rwtl It MopES l ffi 2 tNPUr I t ffi l l ffit Display I PrYR EHD 1 l0BE Description Enters TVM application Sets display to two...

Page 126: ...y ment money paid ottt interest rate that reduces the payment by 10 Pl T t 76 89 Stores reduced payment amount IU YR 6 75 Calculates annual inter est rate Erample A Home tortgage The maximum monthly mortgage Payment you can afford is 630 You can make a 12 000 down pay ment and annual interest rates are currently lL So o If you take out a 30 year mortgige what is the maximum purchase price you can ...

Page 127: ...lay to two deci mal places Optional clears TVM variables Stores monthty puyment Sets W to 0 not neces sary if you previously cleared TVM variables Calculates loan amount Calculates total price of the house loan plus down payment Example A llortgage With a Balloon Payment You ve taken out a 2l yeag fi75 250 mortgage at 13 8o o annual interest You anticipate that you will own the house for four year...

Page 128: ... t looE Step l Calculate PMT for the mortgage 258 12 ffi H 3Bg Bg 13 8 ffi rzyR l BB 75250 ffi PU 75 esg gg to repay the loan in 25 years after 4 years Description Enter the TVM application Sets display to two deci mal places Optional clears TVM variables If necessary sets 12 pay ment periods per year End mode Stores total number of payments Stores annual interest rate Stores loan amount 12o 6 Tim...

Page 129: ...on plus the last monthly payment fully repays the loan E fEdIl Amount to repay loan v nE 4 3s3 14 v Savings Galculations v Example A Savings Account You deposit 2 000 into a savings account that pays 7 29 o annual interest compounded annually If you v rnake no other deposits how long will it take for the account to con v tain 3 000 Since PMT 0 the Begin End mode is inelevant PMT calculated in the ...

Page 130: ...s the TVM application Sets display to two deci mal places Optional clears TVM variables Sets L compounding pe riod per year Stores annual interest rate Stores amount of the deposit There are no payments not necessary if you pre viously cleared TVM variables Stores future account balance Calculates number of years PMT 0 g l YR 7 2 P YR 1 N PV 2 000 128 6 Time Value of lloney ...

Page 131: ...lance after six years Erample An lndividual Retirement Account You opened an in dividual retirement account on April L5 1985 with a deposit of 2 000 Thereafte you deposit 80 00 into the account semimonthly at the end of each half month The account pays 8 3o o annual inter est compounded semimonthly How much will the account contain on April 15th 2000 l YR 8 3 P YR 2x12i End mode N 15 x 12x2 359 36...

Page 132: ...nt conditions Stores total number of deposits Stores annual interest rate Stores initial deposit Stores semimonthly payment Calculates balance after 15 years I 10 0 E Amortization The AMRT menu displays or prints the followirg values for a single loan payment or a seriei of loan payments I The balance of the loan after the payment s are made I The amount of the payment s applied toward interest I ...

Page 133: ...ying an Amortization Schedule The following steps display an amortization schedule See page 134 for printing an amortization schedule If you ve just completed the TVM calculation for the loan skip steps 1 through 3 L Set the display format to the desired number of decimal places Amortization calculations use values of PV PMI and INT rounded to the number of decimal places specified by the cur rent...

Page 134: ...ents to be amortized and press m t Press ffi to use the previously stored value for P To start the amortization schedule over from payment 1 press t and proceed from step 8 Example Displaying an Amortization Schedule To purchase your home you have taken out a 30 year 55 000 mortgage at 12 5o o annual interest Your monthly payment is 693 72 Calculate the amount of the first year s and second year s...

Page 135: ... amortization schedule for payments L 12 Displays results by roll ing the history stack Calculates amortization schedule for next 12 Payments Displays results using the menu keys To display the balance after 3y2 years 42 payments amortize 18 ad ditional payments 42 24 18 ffi IHTEREST 8 Bgs ls iffi pRIHcIpHL sg 49 BHLHHCE 54 549 BB 18 P 18 Pl lTS 25 4A BHLHNCE 64 1 29 Bs Calculates amortization sch...

Page 136: ...hedule and press rffi I 1 Key in the increment the number of payments per table en try and press 12 Press ffi The values set in the TABLE menu are retained until you exit the TA BLE menu Example Printing an Amortization Schedule For the loan de scribed in the example on page L32 print an amortization schedule with entries for the fifth and sixth years Usethesamekeystrokesuptoandincludi gpressingff...

Page 137: ...ayments Calculates and prints the amortization schedule shown below I ZYR PV Pl lT PzYR END I IOOE PHTS 49 69 I NTEREST PRIHCIPHL BRLfiNCE Pl lTS 61 72 I HTEREST PRINCIPRL BRLfrHCE 12 59 65 ggg g0 693 7 le 0g 7 976 87 347 77 63 6 94 7 930 8e 393 82 63 229 1 2 6 Time Ualue of f oney r35 ...

Page 138: ...ptional messages I Determine the duy of the week for a particular date t Calculate the number of days between two dates using the 360 duy the 365 day or the actual calendar Viewing the Time and To view the d y of the week date the TIME application Date and time press I rrrrrelto enter Current date and time A AM or P PM disptayed in 12 hour format only If you overwrite the time and date you can res...

Page 139: ... and r date and to change the time and date formats To set the time 1 Enter the TIME application press tlTtME l and press iiii st r to v display the SET menu Note the current time format H or p after the time indicates l 2 hour format 2 Using the current format key in the correct time as a number in the form HH MMSS For example 9 08 30 p m would be keyed v in as 9 0830 l2 hour format or 21 0830 24...

Page 140: ... be 4 03L989 MM DDYYYY in month day year format or 3 04 1989 DD MMYYYY in day month year format Press ffi Table 7 2 The SET tenu llenu Key Description ffi i ffi ffiffi Enters the number in the calculator line as the current date Enters the number in the calculator line as the current time ln 12 hour format switches between AM and PM Switches between month day lyear and day month year formats Switc...

Page 141: ...time format press To switch between month d y year and day month year format press m v v Adjusting the Glock Setting v The ADJST menu adjusts the time setting forward or backward in in crements of hours minutes or seconds v To adjust the time setting from the TIME menu v l press ffi v 2 Press the appropriate menu key s until the correct time is dis played For example if the current time setting is...

Page 142: ...ufure or are past drJe because they went off without being acknowledged the top line de scribes their status Status Appointments 2 and 3 Appointment 5 is past APPT appointment menu Pressing g sR g displays the rest of the APPT menu and the status of appointments 6 through L0 2 Press a menu k y r n f l r through r HpT t The display shows the date and time for that appointment and the menu for setti...

Page 143: ...u are uncertain how to k y in the time or date press HELP 5 Setting the appointment time Note the time format in us6 H or P after the time indicates l2 hour format Kuy in the time of the appointment in HH MM format For example 2 25 p m would be 2 25 l2 hour format or 14 25 Z hour format Press T I l E If the date setting was a date in the past includi g 00 00 0000 the date is autornatically set to ...

Page 144: ...at interval to lr 2 hours ffiffiffi sets the appointment to non repeating You can specify repeat intervals up to 104 weeks in length 728 days 1 7 472 hours etc 9 Press I exn I to return to the APPT menu The appointment you just set will be listed as set Acknowledging an Appointment When an appointment comes due the HP 275 beeps and the ap pointment annunciator comes on If the appointment has a mes...

Page 145: ...hrough L0 2 Press the menu key for the past due appointment You can view the message by pressing m 3 Press lEXtTl to return to the APPT menu The acknowledged ap pointment is no longer listed as past due A repeating appointment is deactivated while it is past due It will not go off at subsequent repeat intervals until the appointment is acknowledged Glearing Appointments Clearing an appointment cha...

Page 146: ...FF t INPUil 1 lExrrl Display 4 FRI E4rl5rBB 4r FRI 84r15rBB 4 TUE 84r19188 RPT 1 I IEEK S 4 TUE F4119188 SET 4 Description Displays the APPT menu Displays the setting for appointment 4 Clears the appointment 2 15H Stores appointment time sets current date 2r 15P Sets PM 2 15P Stores appointment date using the current year Stores the message Displays the RPT menu 2 15P Sets the repeat interval Retu...

Page 147: ...the current date format month day lyear MM DDYYYY or day month year DD MMYYYY also displays the day of the week lf you omit YYYY the calculator uses the current year Stores or calculates the number of days between DATE1 and DATE2 using the actual calendar which recognizes leap years Calculates the number of days between DATE1 and DATE2 using the 360 day calendar which uses 12 30 day months Galcula...

Page 148: ... Days Between lWo Dates Find the number of days between April 20 1982 and August 2 1986 using both the actual calendar and the 355 day calendar As v sume the date format is month day yeat Keyc Display Description v ItTtME I Displays the CALC J ffi menu 4 201982 Stores the first date and v ffi DFTEI displays day of the week 8412611982 llE0 8 021986 Stores the second date v DfiTE2 ffi r carcuratesnu...

Page 149: ... v purchase a 120 day option on a piece of land Determine the o pira v tion date Assume the date format is month dayfyear v Keys Display Description v IFIME I Displays the CALC Cnlc menu v 2 091989 Stores DATEI v EfiTE DFTEI 2t89r1989 THU 120 iigfis X HcTUfiL OFYS Stores the number of raB BBBB days in the future v r a lll5lir Calculates the er piration v Glearing the Date Arithmetic Variables DATE...

Page 150: ...inter Port Because conununication goes only one way from the calculator to the printer the calculator cannot determine whether the printer is receiv itg information To preserve battery power the HP 275 will not transmit data to the printer when the low batteries annunciator is on If low bat tery power occurs after you ve started printing printing stops and the calculator displays BHTT T00 L01 l T0...

Page 151: ...onal AC adapter I PRIHTER H0 HC HDHPTER printing withouf the printer AC adapter 3 Press I EXtr l For print operations involving large amounts of information printing is faster using the printer s AC adapter and the calculator s appropri ate PRNT mode When the printer is powered by batteries alone set the mode to PR IHTER I H0 HC R0HPTER so that the calculator will not transmit data too rapidly v v...

Page 152: ...ER menu press llFnrrlien Table 8 1 The PRII TEB tenu tenu Key Description ffi ffi ffi Prints data associated with the current menu see Printing Variables Lists and Appointments below Prints the history stack Prints the contents of registers 0 through 9 Prints the current date and time Displays the ALPHA menu for typing a message Switches between trace on and trace off modes See Trace Printing on p...

Page 153: ...nt the entire equation list press llpRrNTERl tls Printing Appointments To print all stored appointments display the APPT menu the menu displayed when you press p i tr f 1 r and press lfFnlrrtienl LI8T tenus ilot Associated With Stored Data Many menus do not have stored information associated with them Pressing lfp tNTERl LI T while viewing these menus prints no information For exam ple the HYP and...

Page 154: ...ou are not using it since transmit ting data uses calculator battery power and slows calculator operation Erample Trace Printing an Arithmetic Galculation Produce a record of the keystrokes you use to do the followirg calculation and store the result in the CHG variable OLD Vrzx4 800 1 25 Keys It pR tNrERl f tffit l crdt 12aT f E 4800 E 125 tbLD l It PR rNrER l trffi tEXlTt Printed Record EX I T K...

Page 155: ...sion of data to the printer during long operations pr se any key The printer may continue to print additional informa tion since information is stored temporarily in the printer during v certain print operations v v v v v v v v v v v Y 8 Printing 153 ...

Page 156: ...of two vectors r1i yi and x2i y2i is x1 xz i Ur Az j Erample A ship travels 150 miles on a course 50o east of north and then travels an additional 80 miles on a course 15o west of north How far is the ship from its starting point In what direction must the ship travel to return to its starting point Angles are measured counterclockwise from 0o East is 0o r54 9 Additional Examples ...

Page 157: ...contents of R1 v iltm rci6 1 Calculates y2 and adds E 2 vcooRlt z z 4t value to contents of R2 v v enl X xc00RD 1B9 tgBB Stores q x2in xcooRD F n2t YC0ORD 152 274t Stores h I yzn v YcooKD v ro RRoIUS tgz BBla Calculates distance from v starting point v This problem and the Law of Cooines problem on pate 162 canbe done using the Solver V equation I F S FNG FNGLE XCOITRD RI I R I XCOORO R2 I F2 YCOO...

Page 158: ...isplays the coordinate conversion variables Calculates 4 for V1 Stores x 6 for Vz t Stores y 5 for Vz t Calculates 4 for Y2 Calculates angle between Vl and Y2 Exits CONVERT menu lmt This problem can be done using the Solver equation FNG RNGLE Xl Y1 HHGLE X2 YZ where ANG is the angle between vectors 4 y1 and xz yz t You must use lffi to store just the rightmost number If necessary refer to the rule...

Page 159: ...r The projection of vector V1 xi the direction of V2 and Length on Another rj on vector V2 xzi yzi has x z Igz lv2l v where lV2l is the length of Y2 Example Find the projection of 6i 4i on 10i 2i 21 r58 9 Additional Examples ...

Page 160: ... for V2 2 91 YCooRB z Bss6 d 11 3999 v I RFDIUS 16 1988 Calculates lV2L l 6 s98l Calculates 1 lV2L v EB o E 10 Calculates xg2 fl2 f 4E2 ZDl s eegtxse asss v n RRDIUS 5 0990 Stores projection length I XCOORO S B9BS Calculates r for v Projection v I YCooRD l 6EEB Calculates Y for projection fExrrl Exits CONVERT menu v The projection vector is 5i lj 9 addltlonal Eramplca 159 ...

Page 161: ...s a2 62 c2 2bc cosA Use when you know I r TWo sides angle between them I Three sides Example Law of Sines You look down from the top of a 5000 foot mountain with your telescope and see two large water towers one behind the other When you point the telescope at one towe the an gle from horizontal is 33o For the other towe the angle from horizontal is 48o How far apart are the towers Side c r60 9 Ad...

Page 162: ... side We do since c sin E SbOO and E 180 lg2 48o There v f ore c 5000 sin 48o v If the RAD annunciator is on presslf Mop E5 l lHl l v to set Degrees mode v Keys Ditplay Dercfiptlon v 5000 f 48 Calculates side c lEifrn E 6 zs 16B6 v Now use the law of sines to calculate side a a c sin A sin C r E 15 l sltrlE 1 41 B 69 v 33 lErN I EJ B tg g046 Calculates side a v 9 Additlonal Exampler 16l ...

Page 163: ...he airport TWo sides and the angle between them are known b 1 75 c 150 A 18o By the law of cosines fl If the RAD annunciator is or press Il MopeSf ffi ffi tffil to set Degrees mode Keys Display Description 175 fB J BB Eas BsB6 150 lB E s3 1as saBB 281758 150 EJ 25 AggE 52 5gB BBEEX 18 6 Sl B sa s6B 6BEox ETE a 951 1 56 528e Calculates cosine of 18o Distance from airport Airport 2bc cos A 1o 2 9 Ad...

Page 164: ... possible Keys Display Description IFmB l Displays the PROB menu 24 ffi x 24 oEBB Stores number of employees 6 Y E EBBa Stores committee size C H Y 134 596 ABBB Calculates number of combinations Part 2 If employees are chosen at random what is the probability that the committee will contain six women lEro l 1 c x Y 134 sg6 ggBB Stores previous result 14 H I4 gBgB Stores number of women employees C...

Page 165: ...committees with 3 men and 3 women Probability of the com mittee containing 3 men and 3 women Part 4 The Safety Officer Billy fohnson must be on the committee How many combinations are possible Since one employee must be on the committee there are five openings for the 23 remaining employees 23 ffi X 23 EEBB Number of combinations of 23 taken 5 at a time 5ffi ffi Part 5 Once the committee members a...

Page 166: ...e toss of v one or more six sided dice The equation v T0SS IP RfiH x6 1 v generates integers in the range I through 5 Similarly v T0s Ip RHN x6 r Ip RBH x6 r simulates the toss of trso dice l To enter the equation pressltEo NFl then 2 Type the equation for the appropriate number of dice and press I tNpur l v 3 Press f to vedfy the equation and display the menu of v variables v 4 Press f as many ti...

Page 167: ...d initial trajectory of angle A from the horizontal axis 8 is a constant the acceleration of gravity 32 f eet second2 The S solving for function allows the two equations to be grouped together in one Solver equation IF S H X VExTxC0S H Y H VExTxSIN H SxGxT Z The expression X UBxTxCOS H 0 is used when solving for x otherwise Y H UBxTxSIH H SxGxT A g is used x t h xe o 166 9 Additional Eramples ...

Page 168: ... Press f to verify the equation and display the menu of v variables v If the RAD annunciator is on press lmbbES l n I Hm v to set Degrees mode v Since X is a function of T you must first solve for T v Keyr Dirplay Descrtptlon 34 t U6 34 EgSg Stores initial velocity 43 I fi 43 BBgg Stores angle v o y 0 0688 Stores final altitude v Stores release height v 5 n H S EBBo v 32 G 3Z 09BB Stores constant ...

Page 169: ...m altitude and stores value in T Calculates maximum altitude ffi E2m ffi T 1 449e T E 7 46 Y 13 4B 13 The Gatenary Equation The curve formed by suspendit g a flexible cable from two points is called a catenary and is defined by the equation y a cosh x a The length of the cable is calculated by the equation L 2a sinh x a where a is the lowest height of the cable and L is the cable length 168 9 Addi...

Page 170: ...he cable be at its lowest point At what height should the cable be attached to the poles What length of cable is needed x 20 l To enter the first equation press lt S LVE l then ffi 2 Type Y HxC0SH N H mFm 3 Press ffi and type L zxHxs I NH x H JtiFwl 4 Press EJ to display the first equation 5 Pressffitodisplaythemenuofvariablesforthefirst equation x 0 I x 20 I x 15 v v 9 Additional Eramples 169 ...

Page 171: ... Y Stores guesses for A Calculates height at the midpoint of the cable the cable X 20 Stores horizontal dis tance from midpoint to end of cable Calcrrlates height at end of cable Displays the second equation Displays the menu of variables Calculates the cable length Use the second equation to calculate the cable length Variables A and X are shared between the two equations lmt E ffi t L 48 1418 l7...

Page 172: ...e nautical or statute miles between two points Angles are entered in Degrees MinutesSeconds format D MMSSss South Latitude and East Longitude are negative numbers The calculator must be in De grees mode DISTHHCE CXHCOS S IH HRS LT1 XSIN HRS LT2 COS HRS LT1 XCOS HRS LTE XCOS HRS LG1 HRS LGE where C is a constant C 50 to compute nautical miles C 69 0940 compute statute miles Example Find the statute...

Page 173: ... and finding the present capi talized value of a lease Leasing calculations typically use Begin mode For example one payment in advance means that payments are made at the beginning of each period For two payments in ad vance add one extra payment to the present value Erample Galculating a Lease Payment A new car valued at 13 500 is leased for 3 years The lessee has the option to purchase the car ...

Page 174: ...v 13500 t PV 13 569 BB v 7500 FU z sBg og t PHT 289 19 v v Description Sets display to two deci mal places Enters the TVM application Sets payment conditions Stores number of payments Stores annual interest rate Stores lease amount Stores purchase option value Calculates monthly pay ment received _ 9 Additional Eramples 173 ...

Page 175: ...eriod What is the capitalized value of the lease assuming that the interest rate you pay to borrow funds is 1 8o o compounded monthly N 47 IT YR 18 P YR 12 Begin mode 4 900 The problem is done in four steps 1 With future value set to 0 calculate the present value of the 47 monthly payments 2 Add to the calculated present value the additional advance payment 3 Find the present value of the bry opti...

Page 176: ...nts o K FV B oB Sets FV to 0 not neces v sary if you previously v cleared the variables 47 m N 42 68 Stores number of payments 18 m m IZYR 18 08 Stores annual interest v rate v 24OO E Stores monthly payment v ffi pHT Z 4gB g0 v W PU BI Z3s sg Calculates present value v of the 47 monthly v Payments Step 2r Add the additional advance payment to PV Store the answer v E 2400 E 84 135 58 Calculates pre...

Page 177: ...t rates are generally stated as nominal interest rates A nominal interest rate is an annual rate that is compounded periodically for example l8o o Per year compounded monthly When investments have different compoundi g periods effectiae interest rates are used to compare them The effective rate is the rate that compounded annu ally would produce the same interest earnings as the nominal rate For e...

Page 178: ... rv 1 NOMolo EFFo o r t r x roo v The variables NOMO o and EFF o are shared between the two v equations v To do interest conversion calculations v l PressllEot vel then ru v 2 Type the Solver periodic compounding equation v PERCI IPD I EFFZ 1 H01 lZ lBgxP P 1 xlgg llNFUrr v 3 Press f Type the Solver continuous compounding equation v CONTCHPD I EFFZ EHp HogZ tgA 1 xtgB l tNpUTl v 4 Display the appr...

Page 179: ...essing n Keys 4n Display P 4 ABgg 6 7 f N0HZ 6 Tggg ffi EFF I 6 8 ge 12 ru P r gBog 6 65 n HoFl t 6 6569 ffi EFFX E 8565 lmilE ffi ffi EFF G BZE1 Description Stores compounding periods year for bank 1 Stores nominal annual rate for bank 1 Calculates effective rate for bank 1 Stores compounding periods year for bank 2 Stores nominal annual rate for bank 2 Calculates effective rate for bank 2 Displa...

Page 180: ...s where flr v changes sign To evaluate an equation algebraically rearrange it so that all the terms are on the left and set them equal to a dummy variable v Example To find the three roots of the function v f f sxz 1or 20 o l Press llEor Vel then ilX v 2 Set f x equal to the dummy variable y by typing v Y X 3 5xH 2 lgxN 26 tlNPUTl v 3 Press I to verify the equation and display the menu of variable...

Page 181: ...254 0000 420 0000 Set Y 0 and use the locations of the sign for Xi Keys Display o m Y E BB9B 3 Jru x g E8gg 2 il fi z soBg ffi X 4438 1ru x r 8B6g 2 ffi x z g6oB ffi x l J416 6 ffi x 6 BBaB 7 ffi H z BgaB ffi x E 16rz changes as initial guesses Description Stores 0 in Y Stores guesses Calculates first root Stores guesses Calculates second root Stores guesses Calculates third root l8O 9 Additional ...

Page 182: ... averaged in each calculation LAST is the item number of the most recent value to be averaged an d name is the name of the STAI list l Press lt soLVE I and enter the equation 2 Press lSTnfl to enter the STAI application Enter the values into a list Name the list making sure the name matches the name in the equation 3 Press ll soLVE I to return to the Solver Display the menu of vari ables for the e...

Page 183: ...l MopFf ffi 2 tNpur I Its ilil If you want to preserve the current list Pressffiffi Im 4400 llNFUtl 5360 I lNtun 2eoo I NFUTI 3670 llNFffil 4040 l lNilfl 3200 JlilFm rrEt t z T0THL 23 578 gE ExlTt ffi VOLITNFw I rrEt t ItEdir El May fune 4040 3200 name set to U 0 L Then Description Sets display to two deci mal places Enters the STAI application skip the next step Instead Enters data Names the list...

Page 184: ...sumed distribution It is used to test whether a set of observed frequencies differs from a set of expected frequencies suffi ciently to reject the hypothesis under which the expected frequencies were obtained In other words you are testing whether discrepancies between the observed frequencies O and the expected frequencies Er are significant or whether they may reasonably be attributed to chance ...

Page 185: ...TAI application Enter the observed values into a list Name the list making sure the name matches namel in the equation 3 If the expected values va enter them into a second list Name the list making sure the name match es name2 in the equation 4 Press lfsor_ve I to return to the Solver Display the appropriate equation and press m 5 If the expected value is a constant k y in the value and press m 6 ...

Page 186: ...nX Names the list OB OB TtxPUil ITEt t llEo LV Fl Enters the Solver If necessary use Tl or E to display the second 12 equation ffi Displays menu of v variables 120 E 6 Stores expected value ryX EXPT Z9 sBBs v ffi CHI2 5 sssg Calculates 12 v The number of degrees of freedom is n 1 5 Consult statistical ta bles to find x2 to a significance level of 0 05 with 5 degrees of freedom The table shows that...

Page 187: ...ches name in the equation 4 Press tfsolvtrl to return to the Solver Display the menu of vari ables for the equation press m 5 Store values for START and STOP by keying in the values and pressing the menu keys 6 Press to calculate the subtotal Example You have collected the followi g data Calculate the subtotals for observations 9 l 4 and 2 G Obseryation 1 2 Ualue 25 1 l2 T Enter the equation into ...

Page 188: ...iL 129 9 lexil l Names the list DATA DATA lrNPUTl ITE 4 Z ll s Ttrl Enters the Solver v If necessary use Il or EJ to display the subtotal equation n Displays the menu of variables t 1 srRRT l 0 Calculates subtotal for 3 I ST0P 3 E items 1 2 and 3 v lI SrorL 73 S 4 I sT0p 4 0 Calculates subtotal for f ToTL leO items 1 2 3 and 4 2 n sTfiRT 6 Calculates subtotal for 6 n sToP 6 0 items 2 through 5 lI ...

Page 189: ...E 8 rB ff l XFP CBHTEX l EB IF CtlHTE 12 e5 El B I 1E 4 I ffi For other special days replace L 2 25 with the special day expressed in MM DD format l To enter the equation press lfso Lvtrl then m 2 Type the equation and press t Npuil 3 Pressffitoverifytheequationanddisplaythemenuof variables Example If today is April 20 1988 how many days remain until Christmas Keys Display fffi sHHTH 249 BBBo Desc...

Page 190: ...r questions about our products Answers to Gommon Questions Q How can I determine if the calculator is functioning properly A Refer to page 198 which describes the diagnostic self test O How do I change the way numbers are formatted in the display A See Display Mode and Format of Numberso on page 30 Q My numbers contain conunas instead of periods as decimal points How do I restore the periods A Cha...

Page 191: ... be sure to clear the TVM variables m settheaPPropriatepaymentmode and specify the number of payments per year Q How do I indicate multiplication in a Solver equation A You must use the multiplication sign fJ You cannot use the k y Also you cannot specify implied multiplication using pa rentheses O The calculator has displayed IHSUFFIcIEHT 1 lE1 l0Ry What should I do A Refer to Manatrng Calculator...

Page 192: ... battery annunciator E comes on the calculator can continue normal operations for several hours If the calculator is turned off Continuous Memory will be preserved for approximately two weeks To conserve battery powe printing does not function when the battery annunciator is on Printing may halt during a print ing operation due to a borderline low battery condition the calculator can detect insuff...

Page 193: ...ke sure the calculator is off Do not press lcln l ON again until the entire procedure for changing batteries is Goln pleted Ghanging batteries with the calculator on could erase the contents of Gontinuous Memory If you have set any ap pointments make sure they will not come due while the batteries are out Hold the calculator as shown To remove the battery compart ment doo Press down and outward on...

Page 194: ...ot in the calculator case as shown tf the calculator does not function properly after the new batteries are installed you might have taken too long or inadvertently turned the calculator on while the batteries were out Remove the new bat teries and lightly Press a coin against both battery contacts in the calculator for a few seconds Put the batteries Uact in and turn the calculator on it should d...

Page 195: ... able If you see this message l Complete any arithmetic calculations you were doing in the cal culator line press EJ or ElR l This frees the memory that was being used to store each of the numbers and operators 2 To further reduce the amount of occupied memory you can r Rename your STAI lists to shorter names see page 74 and clear any lists you no longer need see page 76 I Shorten or delete any me...

Page 196: ...ped or if power is intemrpted v Table A 1 llemory Requitements lVpe of lnformation Amount of Hemory Used STAI number lists name STAT list names Equations Solver variables excluding the list Calculator line Appointment messages 16 bytes per list 8 bytes for each item 1 byte 1 byte for each character in the name 101 z bytes per equation 1 byte for each character in the equation 15 bytes for each var...

Page 197: ...from the sys tem clock the next time ffi is pressed Erasing Continuous Memory does not affect the current time and date To erase Continuous Memory press and hold down lclnl the leftmost menu k y and the rightmost menu k y You will be press ing three keys simultaneously When the keys are released the HP 275 displays l lEH0RY L0ST Continuous Memory may inadvertently be erased if the calculator is dr...

Page 198: ... calculator won t turn on nothing is yisible in the disprayf v l Attempt to reset the calculator see page 195 v 2 If the calculator fails to respond after step r replace the bat teries see page 196 If you ve just replaced the batteries see v the bottom of page 193 v If steps 1 and 2 do not restore the display the calculator requires service r It the calculatot doesn t respond to keystrokes nothing...

Page 199: ...ned on but it appears that the calculator is not operati g properly you can do a diagnostic self test The self test runs continuously repeati g until you halt it To run the self test l Turn the calculator on 2 If you have the optional Infrared Printer turn it on Certain di agnostic information is printed during the test 3 If possible return to the MAIN display press l MAtNl 4 To start the self tes...

Page 200: ...sults If you do not have a printeq write down the messages that are displayed after the component tests 6 7 Limited One Year Warranty What ls Goyered The calculator except for the batteries or damage caused by the bat teries is warranted by Hewlett Packard against defects in materials and workmanship for one year from the date of original purchase If you sell your unit or give it as a grft the war...

Page 201: ...o not allow limitations on how long an implied war ranty lasts so the above limitation may not apply to you tl llO EYEI T S IALI HEWLETT PACKARD GOTPA IY BE LIABLE FOR COIISEOUEI TIAL DAilAGES Some states provinces or countries do not allow the exclusion or limitation of incidental or consequential damages so the above limitation or exclusion may not apply to you Products are sold on the basis of ...

Page 202: ...ice without first contacting a Hewlett Packard office Hewlett Packard S A 150 Route du Nant d Avril P O Box CH l2l7 Meyrin z Geneva Switzerland Telephone 022 82 81 11 t ln other countries Contact your HP sales office or dealer or write to the U S Calculator Service Center listed on the inside of the back cover for the location of other service centers If local service is unavailable you can ship t...

Page 203: ...the United States and some other countries the serviced calcu lator will be returned C O D if you do not pay in advance I Ship the calculator in adequate protective packaging to prevent damage Such damage is not covered by the warranty so we rec ommend that you insure the shipment t Puy the shipping charges for delivery to the Hewlett Packard ser vice centel whether or not the calculator is under ...

Page 204: ...ission How to ldentifu and Resolae Ra dio TV lnterference Problems This booklet is available from the U S Government Printing Office Washington D C 20402 Stock Number 004 000 00345 4 At the first printing of this manual the telephone number was 202 783 3238 West Germany The HP 275 and the HP 82240A printer comply with VFG 1 046 84 VDE 08718 and similar non interference stan dards If you use equipm...

Page 205: ...nly operators involving the unknown are x and The unknown does not appear as an exponent The unknown occurs only once in the equation There are two exceptions l Occurrences of the unknown as the argument of the S func tion can be ignored For example IF S H Y H I Y 5 can be solved directly for X 2 The variable is counted as appearing only once within an IF function if it appears only once in the co...

Page 206: ...be more than one solution If the solver can isolate the unknown it finds one of the solutions using the positive root For example H I 2 25 has two solutions Th Solver algebraically reduces this equation to X 1 5 and calculates X 5 To find the other solution the equation can be rewritten I H Z ES The Solver then refurns X 4 If the unknown can be isolated but an answer cannot be found the HP 275 dis...

Page 207: ...le argument arguments of SIN COS TAN XCOORD YCOORD there usually are an infinite number of solutions If the Solver can isolate the unknowrl it finds lne of the solutions For example THN H 1 has an infinite number of solu tions A 45o 180 x n n 0 2 The Solver algebraically reduces this equation to A ATAN I and calculates A 45o The equation can be rewritten to find other direct solutions For example ...

Page 208: ... root How the Solver Finds a Root lteratively Consider an_equation containing a number of variables including un v known r when values have been entered for all variables o cep t the v unknown the equation has the form v gft h x where g r and h x are the left and right sides of the equation For v o ample when the equation of L l cx it v14 v issolvedforrwith n 2 b B r 2 c 24 andd g ithas r the form...

Page 209: ...f x and comparing the results to previous estimates Using a complex algorithm the Solver intelligently pre dicts a new estimate where the graph might cross the r axis Figure B 1 illustrates the function f x 2x3 4x2 5x 8 The gpaph shows one root The first example on page 212 calculates this root t x t I 5 Figure B l flrl 2x3 4r2 6r 8 208 B tore About the Solver ...

Page 210: ... some idea of the behavior of the function by calculating the value of f x at various values of x See the example Finding Several Roots of a Function on page 179 The Solver s Ability to Find a Root If any two estimates yield f x with opposite signs the Solver Pre sumes that f x crosses the r axis in at least one place between the two estimates The interval is systematically narrowed until a root i...

Page 211: ...yield f x values with opposite function s graph crosses the r axis in at least those estimates figure B 3a I f x always increases or decreases as x is increased figure B 3b I Th SaPh of f x is either concave or convex everywhere figure B 3c r It f x has one or more local minima and maxima each occurs singly between adjacent zeros of f x figure B 3d Figure B 3 Functions for Which a Root Gan Be Foun...

Page 212: ...lated root Table B 1 describes the two case 1 situations Also see figure 5 1 on Page L 14 For case la the calculated root sets f x exactly equal to 0 For case lb the calculated root is a 12 digit number adjacent to the place where the function s graph crosses the r axis Cases La and Lb are differenti ated by pressing the menu k y for the unknown after the root has been displayed For case lb soluti...

Page 213: ...e 6xH g 6 Display H B gEB0 X lB BEAA X 1 6596 8 0 fiNFUilru Description Enters guesses Calculates X LEFT I 8 EEEBBEEEBE4 RIGHT g EBBBB6AB0BB H t EF8E Example A Gase I Solution the equation x2 x 6 o l Press lrcbml then m 2 Type x e H 6 E tJN FUfl m 212 B tore About the Solver Optional indicates case Lb Clears message With Ttro Roots Find the roots ...

Page 214: ... I H 2 9899 Calculates the positive root n X 2 E06B Optiona indicates case 1a O x 6 9BoB Enters guesses for the IOElI H lB Og09 negative root t t 3 0868 calculates the negative root I X 3 8099 OPtiona indicates v case la v v v r v v v v FigureB 4 flx x2 x 6 r x 5 I 5 I B tore About the Solver 2lg ...

Page 215: ...tFFl ffi Keys Display Description o ffi H B BEBS Enters guesses I ffi H 9 BBBB H 3 tgsg Calculates positive root W LEFT r 8 BBBgaSBBIBB RIGHT g 0BBBBBB6E0B El x 3 lBsB Indicates case lb Clears message 1 yo r Suesses bracket the discontinuity or occur in the region where f x is constant the solver returns a different answer effi X 9 BBBE Enters guesses 11 ffi H lt BEgg X lE gABB ffi LEFT I B0g EBBE...

Page 216: ...uced the estimate X 10 the Solver determined that two neighboring estimates yield values of f with opposite signs t x t I I 1000 tl Figure B 5 flxI For a Discontinuous Function Gase 2 Solutions In case 2 the Solver does not find an estimate for which flr 0 Furthermore the criteria for a case lb solution are not met The HP 27S automatically displays the values of LEFT and R GHT for the best final e...

Page 217: ...equation l Press tf so 1vil then mm 2 Typ H H e 6 t B tr Fiifl ffi Table B l Gase 2 Solutions Gase Signs ol flrl for Final Estimates Gomparision of Final Estimates Trends ln flxI Case 2a Case 2b Case 2c Opposite Opposite Same Neighbors Not neighbors Not relevant t x for the two esti mates have been strongly diverging from zero as x ap proaches the two neighbors from both sides Not relevant May be ...

Page 218: ...ates are v hold doan H r 2 449489 4 9 neighbors case 2a v Xr2 44948974278 v H 2 4495 Displays calculator line v Figure 8 6 illustrates the pole between the final estimates The initial guesses yielded opposite signs for flr The Solver narrowed the inter val between successive estimates until two neighbors were found The v function has roots at 2 and 3 which can be found by entering ap v propriate g...

Page 219: ...oW attempt to tind a negative root by entering guesses 0 and 10 o tlil x E gBgB Enters guesses 10 Il Jffi fi lB ggsB ffi LEFT B EBAgggBBgEB RIGHT g BEBggBEB66g Case 2 Displays best estimate of X Final estimates Displays calculator line Description Enters guesses Calculates root I X 8 B6gB ffi hold down H B BogBBgBBggB X I g 3gBgAAABgB X 6 0868 218 B tore About the Solyer ...

Page 220: ...or the two final estimates and that the final estimates are not neighbors This is a case 2b solution Figure B 7 illustrates the function The final two estimates bracket a region where flr is undefined Figure B 7 fftl 5 r t x l J 1 I 1 B tore About the SolYer 2t9 ...

Page 221: ...BEB TEBS f H J BBBB Displays calculator line f x has the same sign for both estimates indicating that the Solver has not found a place where the function probably Jros s the r axis Figure B 8 illustrates the function a parabola with a minimum at X 3 To find the y coordinate of the minimuffi edit the equation to H e 6xl 13 Y enter 3 for X and solve for Y Description Enter guesses to search for posi...

Page 222: ... then m 2 Type flBS X Z A 6 firlElru Keys Display Description 1 ffi H 1 BBBB Enters guesses 2 ffi X 2 BBEB r L iiii ii ffi LEFT B BBBEEBBBBBl ff ffi RIGHT r B BB0BEBBB600 Case 2 v E x l 4142 DisPlaYs the answer v ffi Final estimates case 2c hold dou n xr1 4l4et3s6e3 H 1 41421356e36 v H t 4142 Displays calculator line v 7 B tore About the SolYer 221 ...

Page 223: ... to the x axis at r E LEFT R GHT does not q ruf 0 be_ cause V2 cannot be expressed exactly in lZ digits t x 5 2 1 1 I 2 Figure B 9 A ilinimum at the X Aris Gase 3 Bad Guesses If both initial guesses are outside the domain in which f x is defined the Solver cannot use them In this case the HP 27S displays BHU GUESSES I PRESS ECLR TO UIEl I Example A Gase 3 Situation Find the root of the equation 5 ...

Page 224: ...ed in this v PRESS ECLRI T0 range see figure B 10 r u I E l v fcfF x 8 go666gsgssg Displays guesses X r 19 ggggBg0ggg v E x to sggg Displays calculator line Enter different guesses and search again 0 n x 6 o9o6 Enters guesses 10 n x 10 0999 v t x 6 5622 Case I answer f LE r 1 ssgggBgg6ooE 12 RIGHT r 6 66060099599 v OPtiona indicates case lb x 0 6622 Redisplays X v B Iorc About thc SdY t 229 ...

Page 225: ...olved by entering appropriate positive guesses see figure B 7 However entering negative guesses in the range where the function is defined causes the Solver to search the function as it asymptotically approaches 1 Eventually the HP 27S displays SOLUT I OH HOT FOUHII Figure B 11 illustrates a function that equals 1 throughout the range of numbers except that it equals 0 at x 0 The Solver finds a so...

Page 226: ...s no roots because the left side of the equation is always positive v Howwer the Solver finds an answer When the equation is edited to the form y f x and solved for y the Solver calculates y 0 due to v round off error By recognizing situations where round off error v might occur you can better waluate the results and perhaps rewrite the function to reduce the effects of round off B llore About the...

Page 227: ...pounding periods io o periodic interest rate o pressed as a percentage Single Payment Present Value Function Present value of a single 1 00 payment occurring n periods in the future SPPV io o n t t looI Single Payment Future Value Function Future value after n periods of a single 1 00 payment sPFV io o n t rJ G Equations Used by HP 27S llenus ...

Page 228: ...value of a 1 00 payment that occurs n times USPV io o n 1 io o 100 lz Uniform Series Future Value Function Fufure value of a 1 00 payment that occurs n times v v v v v v v 1 v v v v U v iq J USFV io o n io o 100 G Equations Used by llP ff9 tenus 22 ...

Page 229: ... the sorted list smEv TOTAL Zxi MFAI 7 Zxi n MEDIAN ti for odd n where i MEDIAfI xi xi o even n 2 n 1 2 where i n 2 RANGE LIAX MIN 2u x W MN t t 2Yi G SD zyi xiz y Tz 2y 1 X Zxt y Zyi X2 2xi2 Y2 2yi2 Xy Zxili g 2 x 7 z 228 Gr Equatlons Used by HP 27S tenus ...

Page 230: ... x l Yi n M sxy sx2 B b LIN LOG models B eb EXR pWR models whereb T MT CORR SXY todel Transformation x Yf LIN EXP LOG PWR y B hlk Y BCW y B Mlnr Y BXM y B IIx lny lnB hlx y B Mlnx lr y lnB Mlnr xi X ln ln X X Ai ln yi Ai ln Yi Gr Equations Used by HP 27S llenus 229 ...

Page 231: ...initially the TVM value of PV rounded to the current display setting PMT is initially the TVM value of PMT rounded to the current display setting loloYR P YR x 100 For each payment amortized INf is rounded to the current display setting INT 0 for period 0 in Begin mode INf BAL x i INT INT with sign of PMf PRIN PMT Nf BALnew BAL16 PRIN lNTnew 2lNTs74 INT PR Nnew ZPRIN s16 PRIN G Equations Used by H...

Page 232: ... J umeric Function tenus v PRoB CX Y yt r y l PllY O x y t COTYERT XCOORD R cos ycooilD R sin n r tan YCOORD XCOORD 1800 4 1800 cHG cFTANGE a o x 1oo G Equatlonc Urcd by tlP 27S Xenur 231 ...

Page 233: ...nction menus and control menus are listed in table form Variables are enclosed in boxes to illustrate how they are used Variable used to store and or calculate values Calculate only or display only variable Values cannot be stored in this variable Store only variable Variable cannot be calculated in this menu O D D tenu taps and Tables 232 ...

Page 234: ...SOLVE llenu tlap CALC ALPHA menu v Il soLVtrl ALPHA Edit Menu of equation variables D tenu taps and Tables 2gg ...

Page 235: ...STAT llenu ilap CALC INSR DELET NAME GET ALPHA Edit menu ALPHA menu LIN LOG EXP PWR NEW Names of lists MORE I MORE RE ttSrnt t TOTAL SORT FRCST MORE Select x and y MODL D Menu taps and Tables ...

Page 236: ... v v v TVlt tenu llap D llenu llaps and Tables ...

Page 237: ...ET APPT APT1 APT2 APT3 APT4 APT6 APTT APTS APT9 ALPHA or ALPHA Edit menu lpprEl lilATEll lpA rezl lpAYSl 236 II nrvrEl ADJST HR MIN MIN SEC _SEC APT5 MORE APT1 O MORE A PM MSG HELP A PM M D 12124 HELP D tenu taps and Tables ...

Page 238: ... Y N RAN Il Hypl SINH COSH TANH ASNH ACOSH ATNH llcoNiffit DEG RAD XCORD YCORD HR R HMS 4 MORE MORE D R ll z enA OLD NEW o CH ll pART3 l IP FP RND ABS Gontrol tenus lrvrdDFl FIX SCI D R BEEP ENG PRNT ALL I MORE MORE llFRiNffil LIST STK REGS TIME MSG TRACE D llenu taps and Tables 2gz ...

Page 239: ...y BHD GUESSES PRESS ECLR TO UIEI I The Solver cannot begin a numerical search using the initial estimates see page 116 BHTT TOO LOI I TO PR I NT The calculator requires fresh batteries before information can be printed CURRENT LIST UHHHl IED HHI IE OR CLEHR THE L I ST Attempted to get another list without first clearing or naming the cur rentlist Pressl toclearthelistoriltonameit E1 IPTY L I ST At...

Page 240: ...TEGER Attempted to raise a negative number to a non integer power ERR0R r ouERFLol l An internal result in a calculation was too large for the calculator to handle ERROR I SORT HEG Attempted to calculate v r The square root of a negative number v r The grouped standard deviation with a negative frequency ERRSR UHttERFLoH An internal result in a calculation was too small for the calculator to handl...

Page 241: ...lculator has insufficient memory available to do the operation see Managrng Calculator Memory on page 194 I HTEREST 1 BEZ I0 0yR P YR is less than or equal to 100 in the TVM application I HTERRUPTED Calculation of l0loYR in the TVM application amortization results a Solver variable or a STAI list sort was intermpted IHVHLID I HTE The number entered cannot be interpreted as a proper date Check its ...

Page 242: ... IHHY OR HO SOLUT I OHS The calculator cannot calculate ln oYR Check the values and signs of PV PMT and FV If the values of PV PMT and FV are correct the calcula tion is too complex for the TVM menu 1 lE1 l0RY L0ST Continuous memory has been erased see page 195 HH1 IE HLREHT Y U EB The list name is already in use enter a different name HO SOLUT I OH No solution is possible using the current values...

Page 243: ...T or BIN base The number must be in the range 34 359 739 369 UHBERFLOl I Warning displayed momentarily the magrutude of a result is too small for the calculator to handle The HP 27S returns 0 See Range of Numberso on page 62 UNEOUHL LIST LENGTHS Attempted a two list STAI calculation curve fitting weighted mean grouped standard deviation summation statistics using lists of un equal lengths 242 Erro...

Page 244: ...1 108 110 1 8L 184 185 x2 statistics 183 185 A ffik v for setting appointment time l4l in SET menu 138 absolute value k y 61 ABS Solver function 98 AC adapteq printing with 149 Accounts savings 127 130 Accuracy of clock 196 Acknowledging appointments 142 143 Itacost k y 54 5s ACOS Solver function 98 L7l key 60 ACOSH Solver function 98 Actual calendar 136 145 147 Actuarial functions equations for 2...

Page 245: ...with 27 Appointment s acknowledging 142 143 annunciator 20 142 143 beepeq 35 clearing 143 memory used by 195 message 140 142 numbe 140 past due 140 143 printing 151 repeating 141 142 setting 140 142 status of 140 unacknowledged 143 viewing 140 14l ffi key 137 140 APPT menu 140 14l Arc cosine 54 55 Arc sine 54 55 Arc tangent 54 55 Arithmetic for dates 145 147 in calculator line 18 19 42 46 in HEX O...

Page 246: ...e than 22 charac ters 19 displaying in STAI menu 70 for simple calculations 18 editing 2l mernory requirements of 195 printing 149 using 15 42 Calculator technical support 189 Calendar actual 36 145 147 forrnat L36 setting 138 specifying in Solver 99 360 day 136 145 147 365 day L36 145 L47 Car loan L23 1 24 Carbon l4 dating 40 41 Case 1 solutions ll3 114 21 l 21 5 Case 2 solutions ll4 115 215 222 ...

Page 247: ...ors description of 103 104 priority of 97 Constants in Solveq 96 Continuous compounding 177 Continuous Memory See also Memory definition 15 erasing 196 Contrast of display 15 Control menus definition 28 table of 237 Conversions angles and hours 55 56 ll itvERTl k y 24 See also CON VERT menu CONVERT menu decimal degrees D MMSS 55 56 degrees radians 55 55 equations for 231 examples 154 159 polar rec...

Page 248: ... 55 ffiiffiffi k y 3e ffi ffikey in SOLVE 9L in STAI menu 70 72 Deleting equations 95 list numbers 70 72 variables 94 95 Diagnostic messages 20 Diagnostic self test 198 199 Dice simulating 165 Digit separator changing 34 Digits showing all of 34 Direct solutions definition of 110 204 206 more than one answeD 206 requirements for 204 205 Discontinuous function 214 215 Display clearing 22 configurat...

Page 249: ...nction 99 188 Fractional part 6l F ffi kuy 77 Free fall equation 89 Frequencies for grouped standard deviation 79 85 Full precision showing 34 Functions in Solver 96 98 109 numeric 49 62 roots of 179 180 Fufure date determining 147 Future value of a single payment 1 01 226 of a series of payments 102 227 variable in TVM 1 1 9 iil k y ll9 G ffi ffi k y 70 75 76 Grouped standard deviation calculatin...

Page 250: ...ic functions 60 ffikey 6l IP function 165 IP Solver function 100 IRA 129 130 ITEM prompts 70 ITEM Solver function description of L00 110 examples using L81 184 185 Iterative solution case 1 211 215 case 2 215 222 case 3 222 223 case 4 116 224 definition of 207 forcing 206 halting l1 l interpreting 113 116 method for finding 207 209 outcomes of 113 1 16 requirements for finding a root 209 restartin...

Page 251: ...85 See also Weighted mean Median calculating 77 equation for 228 k y 77 ll MEMI k y 34 Memory determining available 34 35 erasing 196 insufficient 194 managing 194 195 requirements 195 Memory lost message 196 Menu keys 16 17 22 43 Menu map for SOLVE 233 for STAI 234 for TIME 236 for TVM 235 Menu of variables 29 40 92 Menus application 23 24 25 26 control 23 24 237 for more than one equation 106 10...

Page 252: ...s printing 151 Number bases switching 63 64 Number lists 69 Number of payments in TVM 179 Number of payments per year changing 122 Numeric function menus 27 237 Numeric functions 23 24 42 62 o Gcf k y 6g oLD 28 29 51 One variable statistics 7 6 79 Operator keys 18 Operator priority in calculator line 43 44 in Solver 95 97 OR operator 103 104 t H gR k y 118 119 Overflow in arithmetic calculations 6...

Page 253: ...s 151 equations 149 STAI lists 151 variables 151 Priority of operators in calculator line 43 44 in Solvet 96 97 ffi k y r49 tFmB I k y 24 PROB menu 59 60 Probability equations fog 231 example using 153 155 menu 59 60 Projectile motion 166 168 Projection of a vecto 158 159 llPRn k y 149 Punctuation characters 36 37 ffi k y 1 19 P X Y equation for 231 ffi k y rl9 R RAD annunciato 20 54 RAD Solver fu...

Page 254: ...a number 51 Sigma Solver functon 101 Roots of a function 108 110 l8l 184 186 calculating 207 225 See also llera Sign of number changing 19 tive solutions Sign conventions in TVM 120 definition of 207 219 fErrvlkey 54 55 fhding 179 180 SIN Solver functon 101 more than one 179 18O 2ll Sine hyperbolic 60 212 213 Sines law of 160 l6l Round off error 26 SINH function 168 Rounding a numbex 61 m key 60 R...

Page 255: ... BB 294 STAI list entering data into 7l 72 memory requirements 19S printing 151 subtotals of 1 86 187 viewing and editing 72 STAI menu 70 ll srATl k y 24 Z0 Statistics application 59 88 equations for 228 229 one variable 75 79 two variable 79 84 Status annunciators 20 Status of appointments 140 Statutue il r l7l STDEV See Standard deviation BT0E k y 77 TK kuy 150 fErol k y 29 46 51 Storage registe...

Page 256: ...earing 122 It wvn key 25 118 TWelve hour clock 1 36 1 37 TWenty four hour clock 135 137 TWo variable statistics 79 84 TWo s Complement arithmetic 67 Typi g aids 38 U Unacknowledged appointments 143 Underflow in arithmetic calculations 62 Unit conversions using the Solvet 107 Unknown variables 28 Unused memory determining 34 USFV function equation foq 227 Solver function 102 USPV equation f or 227 ...

Page 257: ...tting 80 82 XCOORD Solver function 102 XCOORD variable in CONVERT menu 57 XOR operatoX 103 104 Y Y variable in PROB menu 59 y vanable in qlrve fitting 80 82 Y intercept of a line calculatin 80 YCOORD Solver function 102 YCOORD variable in CONVERT menu 57 IE k y 19 l l v l ...

Page 258: ...cle Blvd Corvallis OR 97330 IJ S A s03 757 2004 8 00 a m to 3 00 p m Pacific time Monday through Friday For Service If your calculator doesn t seem to work prop erly see appendix A to determine if the calculator requires service Appendix A also contains important information about obtaini g service If your calculator does require ser vice mail it to the Calculator Service Center Hewlett Packard Ca...

Page 259: ...thmetic 4 Statistics 5 The Equation Solver 6 Time Value of Money 7 Time Appointments and Date Arithmetic 8 Printing 9 Additaonal Examples A Assistance Batteries Memory and Service B More About The Solver G Equations Used by HP 27S Menus D Menu Maps and Tables Error Messages lndex a v v v v v v v v v v v v v v v v v v v v i l l r ftE H 311 JI Reorder Number ooo27 90028 00027 90046 English Printed i...