Solver Functions for Equations Description, DDAYSd1d2cal | HP 17bII

Table 12-2. Solver Functions for Equations

Function	Description

ABS(x)	Absolute value of x.
ALOG(x)	Common (base 10) antilogarithm;
	10x.
CDATE	Current date.
CTIME	Current time.
DATE(d1:n)	The date n days after (when n is
	positive) or before (when n is
	negative) date d1. The format for d1
	is set in the TIME/SET menu.
DDAYS(d1:d2:cal)	Number of days between dates d1
	and d2. Formats for d1 and d2 are
	set in the TIME menu; cal designates
	the calendar:
	! cal ＝ 1 for the actual calendar,
	which recognizes leap years.
	! cal ＝ 2 for the 365-day
	calendar, which ignores leap
	years.
	! cal ＝ 3 for the 360-day
	calendar, which uses 12, 30-day
	months.
EXP(x)	Natural antilogarithm; ex.
EXPM1(x)	ex－1.
FACT(x)	x!; factorial of a positive integer.
FLOW(CFLO-listname:flow#)	Value of the specified cash flow.
FP(x)	Fractional part of x.

	12: The Equation Solver 169
File name : 17BII-Plus-Manual-E-PRINT-030709	Print data : 2003/7/11

Image 169

HP 17bII manual Solver Functions for Equations Description, DDAYSd1d2cal

Contents

HP 17bII+ Financial Calculator Edition June Printing History Welcome to the hp17bII+ Welcome to the HP 17bII+ Contents Using Parentheses in Calculations Error MessagesPower Function Exponentiation Saving and Reusing Numbers Interest Rate Conversions Time Value of MoneyCash Flow Calculations Depreciation Bonds10 121 Running Total and Statistics 11 141 Time, Appointments, and Date Arithmetic 12 153 The Equation Solver 14 190 Additional Examples More About Calculations Assistance, Batteries, Memory, and Service RPN The Stack Menu Maps RPN Summary RPN Selected Examples Error Messages Index List of Examples List of ExamplesGeneral Business Calculations Currency Exchange Calculations Interest Rate Conversions How to Use the Equation Solver Time, Alarms, and Date ArithmeticBonds and Notes Running Total and Statistical Calculations Important Information Important Information Adjusting the Display Contrast Power On and Off Continuous MemoryGetting Started Getting Started What You See in the Display Setting the LanguageKeys for language Key Description 18 1 Getting Started Backspacing and Clearing Shift Key @ Keys Display Description Keys for Clearing20 1 Getting Started KeysDisplayDescription Doing Arithmetic Keying in Negative Numbers Using the Menu Keys22 1 Getting Started Menu Labels Menu Keys Main Menu 24 1 Getting Started Main Menu Menu Label Operations Done Covered This Category Choosing Menus and Reading Menu Maps 26 1 Getting Started Using the MU%C menuDisplaying the MU%C menu Calculations Using Menus Clearing Values in Menus Exiting Menus e28 1 Getting Started = Cost Solving Your Own Equations Solve 30 1 Getting Started Typing Words and Characters the ALPHAbetic Menu Keys Editing ALPHAbetic Text34 5? Characters Alphabetic Editing Operation Label or Key to Press Calculating the Answer CalcKeyboard 32 1 Getting Started Menu for carpeting Decimal Places Controlling the Display FormatInternal Precision Temporarily SHOWing ALL Exchanging Periods and Commas in Numbers Rounding a Number Modes Error Messages36 1 Getting Started Memory still free Calculator Memory @M Calculator Line ArithmeticVDoing Calculations 38 2 Arithmetic 456 75 × 18.5 VUsing Parentheses in CalculationsKeys Display 30 x Mathematical Functions VThe Percent Key40 2 Arithmetic Shifted Math Functions VThe Power Function ExponentiationKey Math Menu Labels Math MenuKeysDisplay Description 42 2 Arithmetic History Stack of Numbers Saving and Reusing Numbers VKeys Display VReusing the Last Result @L44 2 Arithmetic 475.6 560.1 + 39.15 Storing and Recalling NumbersVKeys Display Description Doing Arithmetic Inside Registers and Variables Keys New Register ContentsArithmetic in Registers Scientific Notation 48 2 Arithmetic Range of Numbers Business Percentages BUS Menus Percentage Calculations BusinessMenu Description Percentage Calculations in Business Examples Using the BUS Menus Using the BUS MenusPercent Change %CHG 50 3 Percentage Calculations in Business Percent of Total %TOTL Markup as a Percent of Price MU%P Markup as a Percent of Cost MU%C52 3 Percentage Calculations in Business Cost Price M%C Cost Price M%P Sharing Variables Between Menus Currx Menu Currency Exchange Calculations54 4 Currency Exchange Calculation Currx Menu Selecting a Set of CurrenciesCurrency Exchange Calculation Currencies Entering a Rate United States Conversion Chart in US$Currency Rate Select CAN$ as currency 58 4 Currency Exchange CalculationSelect HK$ as currency Storing and Recalling Sets of Currencies Converting Between Two CurrenciesExample Converting between Hong Kong and U.S Dollars 60 4 Currency Exchange Calculation Clearing the Currency Variables TVM Menu Time Value of MoneyTime Value of Money Second Level of TVM First Level of TVM Menu Label Description First Level TVM Menu LabelsSecond Level 64 5 Time Value of Money Cash Flow Diagrams and Signs of Numbers PMT 66 5 Time Value of Money Using the TVM Menu Loan Calculations Figures and stores number 68 5 Time Value of Money 11.5 Figures and stores 70 5 Time Value of Money 000 Savings Calculations 72 5 Time Value of Money 15X 12X 359 360 74 5 Time Value of Money Leasing Calculations @28#+ 76 5 Time Value of Money Amortization Amrt Amrt Menu Labels Displaying an Amortization ScheduleLabel 78 5 Time Value of Money Number of payments Next successive set of payments authorized 80 5 Time Value of Money Printing an Amortization Table Table 82 5 Time Value of Money 508 /,%&-$ GO8 84 6 Interest Rate Conversions Interest Rate Conversions Converting Interest Rates Icnv MenuInterest Rate Conversions 86 6 Interest Rate Conversions Compounding Periods Different from Payment Periods 88 6 Interest Rate Conversions Per year 90 6 Interest Rate Conversions Cflo menu Cash Flow CalculationsCash Flow Calculations 92 7 Cash Flow Calculations Cflo Menu Labels Cash Flows Ungrouped 94 7 Cash Flow Calculations Creating a Cash-Flow List For grouped cash flows The display now shows Entering Cash Flows 96 7 Cash Flow Calculations Prompting for #TIMES #T?. When the calculator displays EGG Viewing and Correcting the List Naming and Renaming a Cash-Flow List Copying a Number from a List to the Calculator Line98 7 Cash Flow Calculations Deleting Cash Flows from a List. Pressing ndeletes both Starting or GETting Another List Clearing a Cash-Flow List and Its NameViewing the Name of the Current List. Press o, then e 100 7 Cash Flow Calculations Cash-Flow Calculations IRR, NPV, NUS, NFV Calc Menu for Cflo Lists Menu Label 115,000 500 102 7 Cash Flow Calculations G9ECL#T8U 104 7 Cash Flow Calculations Group Number Amount G9ECL.T8U 50 50 50 106 7 Cash Flow Calculations Doing Other Calculations with Cflo Data Bond Menu Bonds108 8 Bonds Menu Description Label Bond Menu LabelsBonds 110 8 Bonds Doing Bond CalculationsTo calculate the price or yield of a bond Since there is no call on 112 8 Bonds MM.DDYYYY format Deprc Menu Depreciation114 9 Depreciation Depreciation Deprc Menu Labels DB, SOYD, and SL Methods Doing Depreciation Calculations116 9 Depreciation To calculate the depreciation for an asset Basis Salv 4,000 KeysDisplay Year Percentage Deductible Keys Display Description Acrs Method118 9 Depreciation Partial-Year Depreciation 120 9 Depreciation Calendar Year Depreciation Value Running Total and Statistics Running Total and Statistics SUM Menu Labels SUM Menu122 10 Running Total and Statistics Entering Numbers and Viewing the Total Creating a SUM List 124 10 Running Total and Statistics Amount Date DateTransaction 126 10 Running Total and Statistics Naming and Renaming a SUM List Doing Statistical Calculations Calc Clearing a SUM List and Its Name Calc Menu for SUM Lists Menu Key Calculations with One Variable128 10 Running Total and Statistics Expense Month Phone 130 10 Running Total and Statistics Calculations with Two Variables Frcst Calc Total 132 10 Running Total and Statistics Frcst Menu Labels Logarithmic Curve Fit Curve Fitting and Forecasting To do curve fitting and forecasting 134 10 Running Total and Statistics Radio Dollar Sales Advertising Values Number of Minutes Minutes 136 10 Running Total and Statistics Minutes 138 10 Running Total and Statistics Weighted Mean and Grouped Standard Deviation Summation Statistics 140 10 Running Total and Statistics Doing Other Calculations with SUM Data Viewing the Time and Date Time, Appointments, Date ArithmeticTime, Appointments, and Date Arithmetic Time Menu Labels Time MenuMenu Label Description 142 11 Time, Appointments, and Date Arithmetic SET Menu Labels Setting the Time and Date SETOr DD.MMYYYY To set the date Changing the Time and Date Formats SET Adjusting the Clock Setting Adjst144 11 Time, Appointments, and Date Arithmetic Menu Labels for Setting Appointments Description Viewing or Setting an Appointment APT1-APT10Appointments Appt 146 11 Time, Appointments, and Date Arithmetic To set an appointment or view its current settingAppointment message optional To set, change, or just view a Acknowledging an Appointment Clearing Appointments Unacknowledged Appointments148 11 Time, Appointments, and Date Arithmetic To acknowledge a past-due appointment Date Arithmetic Calc Calculating the Number of Days between Dates Determining the Day of the Week for Any DateCalc Menu Labels for Date Arithmetic 150 11 Time, Appointments, and Date Arithmetic Calculating Past or Future Dates DATE2 152 11 Time, Appointments, and Date Arithmetic Solver Example Sales Forecasts Equation SolverEquation Solver Next =OLD 154 12 The Equation Solver Menu Label Display Description 156 12 The Equation Solver Solve MenuKeys Solve Menu Labels Entering EquationsTo make an entry into the Solver list To do a calculation using a Solver menu Calculating Using Solver Menus Calc158 12 The Equation Solver Rmenu label Eqty 160 12 The Equation Solver Naming an Equation Editing an Equation Edit Shared Variables Finding an Equation in the Solver ListClearing Variables 162 12 The Equation Solver Deleting a variable is quite different from clearing it Deleting Variables and Equations Deleting One Equation or Its Variables Delet Writing EquationsDeleting All Equations or All Variables in the Solver @c 164 12 The Equation Solver × C Could be entered as 100× E 166 12 The Equation Solver What Can Appear in an Equation Using the Alpha Menu Solver Functions Using a Typing Aid168 12 The Equation Solver DDAYSd1d2cal Solver Functions for Equations Description HH.MMSS format 170 12 The Equation SolverIFcond expr 1 expr ITEMSUM-listnameitem# SIZECCFLO-listname Σcfr c 1 c 2 s exprSIZESSUM-listname #TCFLO-listnameflow# 172 12 The Equation Solver Days OperatorKeys Conditional Expressions with if≥ ³= 174 12 The Equation Solver VALUE＝FIRST＋1 ÷ FIRST. If FIRST＝0, then VALUE＝FIRST Examples of Conditional EquationsRating Percent Salary Increase 176 12 The Equation Solver Summation Function ∑HC8E9AL#GL28#I&%IGL28$I&I&#TTT Accessing Cflo and SUM Lists from the Solver 178 12 The Equation Solver Creating Menus for Multiple Equations S Function How the Solver Works 180 12 The Equation Solver Halting and Restarting the Iterative Search Entering Guesses 52EG8527H Y@/O127EF Y@/GX7EF Keys 182 12 The Equation Solver @I$&/Solves for QTY iteratively 184 13 Printing Printing Double Space Printing Printer’s Power SourcePrinting the DisplayP Printing Printing Variables, Lists, and Appointments List Printing Other Information @pPrinter Menu Labels 186 13 Printing Except IRR%. Instead, press tPto print the value for IRR% Trace Printing Trace Printing Descriptive Messages MSG188 13 Printing KeysPrint-out How to Interrupt the Printer Loans Additional ExamplesSimple Annual Interest 190 14 Additional Examples Additional Examples Yield of a Discounted or Premium Mortgage Figures and stores total 192 14 Additional Examples See appendix F for RPN keystrokes for the next two examples Annual Percentage Rate for a Loan with Fees 194 14 Additional Examples Loan with an Odd Partial First Period @c e Solver Equation for Odd-Period Calculations 196 14 Additional Examples Canadian Mortgages Solver Equation for Canadian Mortgages 198 14 Additional Examples Solver Equation for Advance Payments Advance Payments Leasing Value of a Fund with Regular Withdrawals Savings200 14 Additional Examples Displays periodic 202 14 Additional Examples Deposits Needed for a Child’s College Account Additional Examples 204 14 Additional Examples Flow of Withdrawals For FLOW1 206 14 Additional Examples Value of a Tax-Free Account # 5?@2 JH= 0EAH 208 14 Additional Examples Value of a Taxable Retirement Account Modified Internal Rate of Return Group No. of Months Cash Flow, $ Flow no 210 14 Additional Examples 100000 V8 /12 V13 /12 200000212 14 Additional Examples Solver Equation for Insurance Price Price of an Insurance Policy 214 14 Additional Examples Bonds 216 14 Additional Examples Discounted Notes Moving Average Statistics Solver Equation for Moving Averages 218 14 Additional Examples If necessary Chi-Squared χ2 Statistics If the expected values vary 220 14 Additional Examples Number Keystroke Display DescriptionUse Assistance, Batteries, Memory, and Service Assistance, Batteries Memory, and ServiceAnswers to Common Questions Obtaining Help in Operating the Calculator Assistance, Batteries, Memory, and Service Low-Power Indications Power and BatteriesDo not use rechargeable batteries Installing Batteries Assistance, Batteries, Memory, and Service Managing Calculator Memory Reset hole Resetting the Calculator For selecting English language For selecting the other languages Erasing Continuous MemoryFor English language For the other languages Clock Accuracy Determining If the Calculator Requires ServiceEnvironmental Limits If the calculator won’t turn on Confirming Calculator Operation Self-TestIf the calculator doesn’t respond to keystrokes Warranty Assistance, Batteries, Memory, and Service Europe Country Telephone numbers Asia Pacific Country Telephone numbers Regulatory informationAmerica Country Telephone numbers Japan Canada IRR% Calculations More About CalculationsPossible Outcomes of Calculating IRR% More About Calculations Storing a Guess for IRR% Halting and Restarting the IRR% Calculation Solver Calculations Direct SolutionsO F I T = P R I C E － C O S T S T = P R I C E － P R O F I T ＝ a R E a ÷ W E a ＝L x W Iterative Solutions Case 1a Case 1b Is exactly Is not exactly More About Calculations J1A =4HFFHFI Actuarial Functions Equations Used by Built-in Menus － n 100  Time Value of Money TVM Percentage Calculations in Business BUSAmortization Cash-Flow Calculations Interest Rate ConversionsNOM %  P NPV ＝ CF0 + ∑CFj x Uspv i% nj x Sppv i% Nj NUS ＝ Uspv i% N Total ＝ ∑nj × CFj Bond Calculations DB ＝ Basis × Fact % /100 Depreciation Calculations Forecasting Sum and StatisticsModel Transformation SXY = Σ Equations Used in ChapterSX 2 × SY PV = − PMT Advance Payments Odd-Period CalculationsModified Internal Rate of Return Menu Maps Menu Maps Figure C-2. Currx Menu Figure C-3. FIN Menu Figure C-3 . FIN Menu Figure C-4. SUM Menu Figure C-5. Time Menu Figure C-6. Solve Menu About RPN RPN SummaryAbout RPN on the HP 17bII+ RPN Summary To select RPN mode Press @ Setting RPN Mode Function Definition Key to Use Name Where the RPN Functions Are~ same as Same as Doing Calculations in RPN Arithmetic Topics Affected by RPN ModeSimple Arithmetic To Calculate Press Display 27 % Calculations with STO and RCL RPN Mode ALG ModeChain Calculations－No Parentheses + 5 E 6 + What the Stack Is RPN The StackRPN The Stack Exchanging the X- and Y-Registers in the Stack Reviewing the Stack Roll Down Arithmetic－How the Stack Does It ＋ 6 ： How Enter Works Clearing Numbers Last X Register Reusing NumbersRetrieving Numbers from Last Chain Calculations Exercises Solution 23 @w13 E9 *-7@t+ RPN Selected Examples RPN Selected Examples RPN Selected Examples #$ 5?@2 HA 0EAH 10 @ Stores total number Payments 1000000 E #TIMES1 for FLOW1 For E, press =, not I11 I G9ECLT8U # 5?@2 JH= # 5?@2 JH= Begin mode Error Messages Error Messages H22E2I EOH2G9EC Error Messages Error Messages EOH2G9EC Error Messages #Special Characters IndexIndex 143 2, 42 -,150 147 169 166 56 ›, 132 a, 78 Z 156 74-75 =, F 174-76 31-3285-87 145 115 ?, 32 ª, 150 «, 150 ¬149 162-64 144116 64 I 133 181-83 138-39 168-71 213-15 72-73239 132-34 132 k, 186 o, 42 3, 42 L132 , 109 +, 49, 53 6, 52, 128 ‘, 128 \, 143 N 146 Memory. See also Continuous Memory143-44 92-94 101 w, 101 x, 101 /, 157 @, 56 B, 56 J, 56 4, 42 j175 56 5, 42 , 18 @p, 186 P PMT. See also Payments in TVM, 63 rounded amortization 85-8680-81 115 56 Q, 56 l, 186 ¡ Using128 146-47 176 243-46 171 178 148132 L 109 ‹, 115 M This regulation applies only to The Netherlands