Casio FC-1000 User's Guide

FC-200VFC-100VUser's GuideECASIO Worldwide Education Websitehttp://edu.casio.comCASIO EDUCATIONAL FORUMhttp://edu.casio.com/forum/

E-8Financial Calculation ... 42kSimple Interest Mode ... 42kCompound Interes

E-98Function CalculationsThis section explains how to use the calculator’s built-infunctions.• Certain function calculations may take some time todisp

E-99Example: sin 30 = 0.5, sin–10.5 = 30z11(sin)30)E1. t2. “sin–1” (fc), then E.3. 0.5)Ek Hyperbolic and Inverse HyperbolicFunctionsExample: sinh 1 =

E-100z(15(π)/2)1G(DRG')2(r)E501G(DRG')3(g)EExample 2: cos (π radians) = –1, cos (100 grads) = 0z12(cos)15(π)1G(DRG')2(r))E12(cos)1001G(

E-101Example 1: log216 = 41. t2. “log(” (fc), then E.3. 21)(,)16)EExample 2: log16 = 1.2041199831. t2. “log(” (fc), then E.3. 16)EA base of 10 (common

E-102Example 2: (1 + 1)2+2 = 161. (1+1)t2. “^(” (fc), then E.3. 2+2)EExample 3: 23 = 81. 2t2. “3” (fc), then E.3. EExample 4: ('2 + 1) ('2 –

E-103k Rectangular-Polar CoordinateConversionRectangular Polar CoordinatesCoordinates (Rec) (Pol)Converting to Polar Coordinates (Pol)Pol(X, Y) X: Spe

E-104Example 1: (X, Y) = ('2, '2) → (r, θ)z1. t2. “ Pol(” (fc), then E.3. 15(')2)1)(,)15(')2))EExample 2: (r, θ) = (2, 30) → (X, Y

E-105A Absolute Value Calculation (Abs)When you are performing a real number calculation, thisfunction simply obtains the absolute value.Example: Abs

E-106A Permutation (nPr) and Combination (nCr)These functions make it possible to perform permutationand combination calculations.n and r must be inte

E-107(Calculation is performed internally using 15 digits.)200/7EFIX*14EFIXThe following performs the same calculation with rounding.200/7EFIX(Round t

E-9Statistical Calculation ... 108kStatistical Calculation Types ... 108kInputting Sample Da

E-108Statistical CalculationAll calculations in this section are performed in the STATMode (7).A Selecting a Statistical Calculation TypeIn the STAT M

E-109A STAT Editor ScreenThere are two STAT editor screen formats, depending onthe type of statistical calculation you selected.Single-variable Statis

E-110Example: To input the value 123.45 in cell X1(Move the cursor to cell X1.)123.45STATESTATRegistering a value causes the cursor to move down one c

E-111A Editing Sample DataReplacing the Data in a Cell1. On the STAT editor screen, move the cursor to the cellyou want to edit.2. Input the new data

E-112k Using the STAT MenuWhile the STAT editor screen or STAT calculation screenis on the display, press 17(S-MENU) to display theSTAT menu.The conte

E-113Paired-variable Menu ItemSelect thisWhen you want to do this:menu item:Display the Reg sub-menu of commandsfor regression calculations• For detai

E-114MinMax Sub-menu (17(S-MENU)6(MinMax))Select thisWhen you want to obtain this:menu item:1minX Minimum value2maxX Maximum valueSingle-variable Stat

E-11517(S-MENU)STAT3(Edit)1(Ins)ccccccccYSTATASTATExample 3: To edit the FREQ data to the following:{1, 2, 1, 2, 2, 2, 3, 4, 2, 1} (FREQ: ON)17(S-MENU

E-11617(S-MENU)4(Sum)STAT2(Σx)EExample 5: To calculate number of samples, mean, andpopulation standard deviation.17(S-MENU)5(Var)1(n)ESTAT17(S-MENU)5

E-117A Commands when Linear RegressionCalculation (A+BX) Is SelectedWith linear regression, regression is performed inaccordance with the following mo

E-10Before Using the Calculatork Removing the Hard CaseBefore using the calculator, slide its hard case downwardsto remove it, and then affix the hard

E-118Sum Sub-menu (17(S-MENU)4(Sum))Select thisWhen you want to obtain this:menu item:1Σx2Sum of squares of the X-data2Σx Sum of the X-data3Σy2Sum of

E-119Reg Sub-menu (17(S-MENU)7(Reg))Select thisWhen you want to obtain this:menu item:1A Regression coefficient constant term A2B Regression coefficie

E-120ce1ESTAT1.1E 1.2E1.3E 1.4E1.5E 1.6ESTAT1.7E 1.8E2EASTATExample 8:17(S-MENU)4(Sum)5(Σxy)ESTAT17(S-MENU)5(Var)3(xσn)ESTAT17(S-MENU)6(MinMax)4(maxY)

E-121Example 9:17(S-MENU)7(Reg)1(A)ESTAT17(S-MENU)STAT7(Reg)2(B)E17(S-MENU)STAT7(Reg)3(r)EExample 10:Estimated Value (y = –3 → m = ?)y317(S-MENU)STAT7

E-122Calculation formula used for each commandA = – B( ) – C( )nΣynΣxnΣx2B =Sxx.Sx2x2 – (Sxx2)2Sxy.Sx2x2 – Sx2y.Sxx2C =Sxx.Sx2x2 – (

E-123• Sum sub-menu (sums), Var sub-menu (number ofsamples, mean, standard deviation), and MinMax sub-menu (maximum value, minimum value) operations a

E-124Example 13:y = 3 → m1 = ?317(S-MENU)7(Reg)STAT4(m1)Ey = 3 → m2 = ?317(S-MENU)7(Reg)STAT5(m2)Ex = 2 → n = ?217(S-MENU)7(Reg)STAT6(n)EA Comments fo

E-125ab Exponential Regression (A•B^X)A = exp( )nΣlny – B.ΣxB = exp( )n.Σx2 – (Σx)2 n.Σxlny – Σx

E-126A =nΣy – B.Σx–1B =Sxx Sxy r =Sxx = Σ(x–1)2 – Syy = Σy2–Sxy = Σ(x–1)y – Sxx.Syy Sxyn(Σx–1)2nΣx–1.Σym = y – ABn = A + xBn(Σy)2Inverse

E-127Comparison of Regression Curves• The following example uses the data input in Example 7(page E-119).Example 14: To compare the correlation coeff

E-11k About the DisplayYour calculator has a 31-dot × 96-dot LCD screen.Example:k Display IndicatorsSample Display:ThisMeans this: Page:indicator:The

E-128Other Types of Regression CalculationExample 15: y = A + Blnx1. s2. “STAT” (fc), then E.3. 2(Off)7cccE(ln X)29E 50E 74ESTAT103E 118Ece1.6E23.5EST

E-129Example 16: y = AeBx1. s2. “STAT” (fc), then E.3. 2(Off)7ccccE(e^X)6.9E 12.9E19.8ESTAT26.7E35.1Ece21.4E15.7ESTAT12.1E 8.5E5.2EA17(S-MENU)STAT7(Re

E-130Example 17: y = ABx1. s2. “STAT” (fc), then E.3. 2(Off)7cccccE(A•B^X)y1E 3E 5ESTAT10Ece0.24E 4ESTAT16.2E 513EA17(S-MENU)STAT7(Reg)1(A)E17(S-MENU)

E-131Example 18: y = AxB1. s2. “STAT” (fc), then E.3. 2(Off)7ccccccE(A•X^B)28E 30E 33ESTAT35E 38Ece2410E3033E3895ESTAT4491E5717EA17(S-MENU)STAT7(Reg)1

E-132BExample 19: y = A + ––x1. s2. “STAT” (fc), then E.3. 2(Off)7cccccccE(1/X)1.1E 2.1ESTAT2.9E 4E4.9Ece18.3ESTAT9.7E 6.8E4.9E 4.1EA17(S-MENU)STAT7(R

E-133A Command Usage Tips• The commands included in the Reg sub-menu can takea long time to execute in logarithmic, e exponential, abexponential, or p

E-134Technical Informationk Calculation Priority SequenceThe calculator performs calculations according to acalculation priority sequence.• Basically,

E-135Example:–22 = –4 1. y22. t3. “2” (fc), then E.4. E(–2)2 = 4 1. (y2)2. t3. “2” (fc), then E.4. EMultiplication and division, and multiplication wh

E-136k Stack LimitationsThis calculator uses memory areas called stacks totemporarily store lower calculation priority sequencevalues, commands, and

E-137k Calculation Ranges, Number of Digits,and PrecisionThe calculation range, number of digits used for internalcalculation, and calculation precisi

E-12ThisMeans this: Page:indicator:STAT The calculator is in the STAT Mode.360 360 days in a year.SISimple interest for interest calcula-tions of odd

E-138Functions Input Rangetanh–1x 0 x 9.99999999910–1logx/lnx 0 x 9.999999999109910x–9.9999999991099 x  99.99999999ex–9.9999999991099 x 

E-139Financial Calculation RangesP/YNatural number from 1 to 9999C/YPM1 Integer from 1 to 9999PM2 PM1 < PM2January 1, 1901 through December 31, 209

E-140Depreciation ModeWhen calculating “Depreciation”One or more of “PV”, “FV”, “ i%” is negative value...

E-141Math ERRORCause• The intermediate or final result of the calculation youare performing exceeds the allowable calculation range.•Your input exceed

E-142the current expression, the cursor changes shape to Ito let you know. If the I cursor appears, terminate theexpression at a convenient point and

E-143Referencek Power Requirements and BatteryReplacementFC-200VYour calculator uses a TWO WAY POWER system thatcombines a solar cell with G13 type bu

E-1444. Wipe a new battery with a dry cloth, and then load itinto the calculator with its positive k side facingupwards (so you can see it).5. Replac

E-1451. Press 1A(OFF) to turnoff the calculator.2. On the back of the calculator,remove the screws and theback cover.3. Remove the old battery.4. Loa

E-146SpecificationsFC-200VPower Requirements:Solar Cell: Built into the front of the calculatorButton Battery: G13 Type (LR44) × 1Battery Life: Approx

SA0904-ECASIO COMPUTER CO., LTD.6-2, Hon-machi 1-chomeShibuya-ku, Tokyo 151-8543, Japan

E-13Calculation Modes andCalculator Setupk Calculation ModesWhen you want to perform Press thisPage:this type of operation: key:Simple interest calcul

E-14A Displaying the Setup ScreenThere are two different ways to display the setup screen.• Pressing the s key• Selecting the “Set:” item onthe menu s

E-151. On the menu that appears when you initially enter amode, use fc to select “Set:”, and then press E.• This displays a setup screen of settings t

E-16A Configuring Settings1 Payment: Compound Interest (CMPD) Mode,Amortization (AMRT) ModeThis setting specifies the payment date.1:Begin Beginning o

E-172. Press 1(1:CI) or 2(2:SI) to select the setting youwant.•You can also use fc to select a setting and thenpress E.4 Periods/Y: Bond (BOND) Mode (

Important!CASIO COMPUTER CO., LTD. makes no guarantees concerning accuracy of the contents of this manual or their suitability for any commercial purp

E-186 Date Input: Day Calculation (DAYS) Mode, Bond(BOND) Mode (FC-200V only)This setting specifies either month, day, year (MDY) orday, month, year (

E-191. Use fc to select“B-Even”, and then pressE.2. Press 1(1:Quantity) or 2(2:Sales) to select thesetting you want.•You can also use fc to select a

E-202. Press 1(1:Deg), 2(2:Rad), or 3(3:Gra) to selectthe setting you want.•You can also use fc to select a setting and thenpress E.! Fix: All modesTh

E-21# Norm: All modesThis setting specifies the range that determines whendisplay of values switches to exponential format.• Changing this setting aut

E-22% CONTRAST: All modesSelect this setting when you want to adjust screen contrastand make display figures lighter or darker.1. Use fc to select“CON

E-23Inputting Expressions andValuesk Inputting a Calculation ExpressionUsing Standard FormatYour calculator lets you input calculation expressions jus

E-24A Omitting the Multiplication SignYou can omit the multiplication sign (×) in any of thefollowing cases.• Before an open parentheses ( ( ): 2 × (5

E-25• Normally the input cursor appears as a straight vertical(I) or horizontal ( ) flashing line on the display screen.When there are 10 or fewer byt

E-26A Deleting a Character or FunctionExample: To correct the expression 369 × × 12 so itbecomes 369 × 12Insert Mode:369**12ddYOverwrite Mode:369**

E-27A Inserting input into a CalculationAlways use the insert mode for this operation. Use d ore to move the cursor to the location where you want toi

E-1About this Manual• This User’s Guide covers use and operation of the CASIOFC-200V and FC-100V. Operations apply to both models,except in cases indi

E-28Basic CalculationsThis section explains how to perform arithmetic and percentcalculations.All calculations in this section are performed in theCOM

E-29A Omitting a Final Closed ParenthesisYou can omit any closed parenthesis ( ) ) immediatelypreceding operation of the E key at the end of acalcul

E-30Example 5: To discount 3500 by 25%.3500-3500*251((%)EExample 6: To discount the sum of 168, 98, and 734 by20%.168+98+734E-G*201((%)EExample 7: If

E-31Example 9: To calculate the selling price and profit whenthe purchase price is $480 and the profit rateto the selling price is 25%.480*251.(A%)480

E-32Using Multi-statements inCalculationsYou can use the colon character (:) to connect two or moreexpressions and execute them in sequence from left

E-33Using Calculation HistoryMemory and ReplayCalculation history memory maintains a record of eachcalculation expression you input and execute, and i

E-34A Replay FunctionWhile a calculation result is on the display, you can pressd or e to edit the expression you used for the previouscalculation.Exa

E-35Using Calculator MemoryMemory Name DescriptionAnswer Memory Stores the last calculation resultobtained.Independent Calculation results can be adde

E-36A Using Answer Memory to Perform a Seriesof CalculationsExample: To divide the result of 3 × 4 by 303*4E(Continuing)/30EPressing / automatically i

E-37k Independent Memory (M)You can add calculation results to or subtract results fromindependent memory. The “M” appears on the display whenindepend

E-2• The following shows an example of how a key operationto select an on-screen menu item is represented in thisUser’s Guide.Example: 1(1-VAR)Indicat

E-38• The “M” indicator appears in the upper left of the displaywhen there is any value other than zero stored inindependent memory.• Independent memo

E-39• Use the following procedure when you want to check thecontents of a variable.Example: To recall the contents of variable ASn(A)• The following s

E-409. So(B)/SD(C)Ek Financial Calculation Variables (VARS)• The following are the names of the financial calculationvariables (VARS):n, I, PV, PMT, F

E-41k Clearing Memory ContentsUse the following procedure to clear the contents of AnswerMemory, independent memory, and all of the variables.This pro

E-42Financial Calculationk Simple Interest Mode• The Simple Interest (SMPL) Mode lets you calculate theinterest amount and/or simple future value (pri

E-43• Press 2 to select “365”.• Use fc to select 2“Dys”, input 120, and thenpress E.• Use fc to select 3 “I”, input 5, and then pressE.• Use fc to sel

E-44A SMPL Mode Financial Calculation Variables(VARS)•Variables Dys, I, and PV are used in the SMPL Mode.• The values of SMPL Mode variables are retai

E-45A Setting ValuesNo. Display NameValues Usedin Examples1 Set*1Payment Period (Payment) End2 n Number of Payments 483 I Interest Rate 4%4 PV Present

E-46A Basic CMPD Mode ProcedureExample 1: To calculate the future value (FV) of aninvestment vehicle that pays an annual interest rate of4%, when the

E-473. Press l to perform thecalculation.A Calculating the Number of Payments (n),Interest Rate (I%), Present Value (Principal:PV), and Payment Amount

E-3Initializing the CalculatorPerform the following procedure when you want to initializethe calculator and return the calculation mode and setupto th

E-48A Selecting Interest Calculation for a Periodwith a Partial Month•You can select compound interest or simple interest tocalculate interest for a p

E-49uuuuu I %i (effective interest rate)i (effective interest rate) is calculated using Newton'sMethod.γ × PV + α × PMT + β × FV = 0To I % from i

E-50n : Number of PaymentsI %:Interest RatePV : Present Value (Principal)PMT : Payment AmountFV : Future Value (Principal and Interest, or FinalPaymen

E-51A Entering the CASH Mode• Press C to enter the CASH Mode.Value Input ScreenA cash flow diagram like the one shown below helps tovisualize the move

E-52A Basic CASH Mode ProcedureExample 1: To calculate net present value (NPV)1. Input the annual interest (I), and then receipt andpayment values pro

E-53A Other CASH Mode CalculationsExample 2: To calculate the internal rate of return (IRR)• In step 3 of the basic procedure (Example 1), select“IRR:

E-54• Though I is a financial calculation variable, it is alsoused by arithmetic and function operations in the COMPMode.A Calculation Formulasu NPVn:

E-55k Amortization Mode• The Amortization (AMRT) Mode lets you calculate theprincipal balance, and the interest portion and principalportion of monthl

E-56d :Total principal paid from payment PM1 to paymentPM2 (ΣPRN)e :Total interest paid from payment PM1 to payment PM2(ΣINT)A Setting ValuesNo. Displ

E-57*1For information about specifying the payment period,see the “Payment” item under “Configuring Settings”on page E-16.*2Make sure the payment you

E-4Safety PrecautionsBe sure to read the following safety precautions beforeusing this calculator. Keep this manual handy for laterreference.CautionTh

E-582. Select the value you want to calculate.• For this example, usefc to select “BAL:Solve”.3. Press l to perform thecalculation.• Pressing the E

E-59A Calculation Formulasa: Interest portion of payment PM1 (INT)INTPM1 = I BALPM1–1 × i I × (PMT sign)b: Principal portion of payment PM1 (PRN)PRNPM

E-60A Entering the CNVR Mode• Press n to enter the CNVR Mode.Value Input ScreenA Setting ValuesNo. Display NameValues Usedin Examples1 nNumber of Annu

E-61A Other CNVR Mode CalculationsExample 2: To convert an effective interest rate (EFF) toa nominal interest rate (APR)• In step 2 of the basic proce

E-62A Entering the COST Mode• Press o to enter the COST Mode.Value Input ScreenA Setting ValuesNo. Display NameValues Usedin Examples1 CST Cost $402 S

E-63A Other COST Mode CalculationsExample 2: To calculate the cost based on margin andselling price1. Input the margin (MRG) and selling price (SEL)

E-64k Day Calculation Mode• The Day Calculation (DAYS) Mode lets you calculate thenumber of dates from one date to another, the date thatfalls on a sp

E-65*2•You must input two digits for the month and day. Thismeans you should include a leading zero for valuesfrom 1 through 9 (01, 02, 03... etc.).•Y

E-66A Other DAYS Mode CalculationsNote• For Example 2 and Example 3, use the setup screen tochange the “Date Mode” setting to “365”.• Calculation resu

E-67A Entering the DEPR Mode• Press d to enter the DEPR Mode.Value Input ScreenA Setting ValuesNo. Display NameValues Usedin Examples1 n Useful Life 6

E-5Handling Precautions• Be sure to press the O key before using thecalculator for the first time.• Even if the calculator is operating normally, re

E-68• Use fc to select 2 “I”, input 25, and then pressE.Note that you need to input 2 “I” only when you areusing the fixed percent (FP) or declining

E-69A DEPR Mode Financial Calculation Variables(VARS)•Variables n, I, PV, and FV are used in the DEPR Mode.• The values of DEPR Mode variables are ret

E-70u Fixed Percentage MethodFixed percentage method can be used to calculatedepreciation for a given period, or to calculate thedepreciation rate.FP

E-71u Declining Balance MethodThe declining balance method calculates depreciation fora given period.DB j : depreciation charge for the jth yearRDVj :

E-72No. Display NameValues Usedin Examples4 nNumber of Coupon3Payments Until Maturity5 RDV*4Redemption Price per $100$100of face value6 CPN*5Coupon Ra

E-73Note•You can specify a starting date (d1) in the range ofJanuary 1,1902 through December 30, 2097.•You can specify an ending date (d2) in the rang

E-74• Press 1 to select “Date”.• Use fc to select 2 “d1”,input 06012004, and thenpress E.• Use fc to select 3 “d2”, input 12152006, and thenpress E.•

E-75Example 3: To calculate a bond purchase price (PRC)based on a specific number of payments(Term)1. In step 1 of the basic procedure (Example 1), s

E-76D Issue date Redemption date (d2)Purchase date (d1) Coupon Payment datesA B A Calculation FormulasPRC: price per $100 of face valueCPN : coupon ra

E-77+×DA CPNPRC = – INT = – –RDV(1+ ) MYLD/100(1+ )MYLD/100MCPNΣ Nk=1(N–1+B/D ) (k–1+B/D )CST = PRC + INT×DAMCPNMPRC = – –RDVMCPN(1+ ) MYLD/100

E-6• Never press the keys of the calculator with a ballpointpen or other pointed object.• Use a soft, dry cloth to clean the exterior of thecalculator

E-78k Break-Even Mode (FC-200V only)• The Break-Even (BEVN) Mode has six sub-modes thatyou can use to perform various break-even pointcalculations.A E

E-79A Entering the BEV Sub-mode1. Press B to enter the Break-Even Mode.2. Use fc to select“BEV:EXE”.3. Press E.Value Input ScreenA Setting ValuesNo. D

E-80A Basic BEV Sub-mode ProcedureExample 1: To calculate the break-even point salesquantity (QBE)1. Input the values for 1, 2, 3, 4, and 5 from the

E-813. Press l to perform thecalculation.A Other BEV Sub-mode CalculationsExample 2: To calculate the break-even point salesamount (SBE)1. Select 2(

E-82A BEV Sub-mode Financial CalculationVariables (VARS)•Variables PRC, VCU, FC, PRF, r%, QBE, and SBE areused in the BEV sub-mode.• BEV sub-mode vari

E-83A Entering the MOS Sub-mode1. Press B to enter the Break-Even Mode.2. Use fc to select“MOS:EXE”.3. Press E.Value Input ScreenA Setting ValuesNo. D

E-84A Other MOS Sub-mode CalculationsExample 2: To calculate a sales amount (SAL) or break-even sales amount (SBE)• Use the basic procedure (Example 1

E-85A Setting ValuesNo. Display NameValues Usedin Examples1 SAL Sales Amount $1,200,0002 VC Variable Cost $600,0003 FC Fixed Cost $200,0004 DOLDegree

E-86A DOL Sub-mode Financial CalculationVariables (VARS)•Variables SAL, VC, FC, and DOL are used in the DOLsub-mode.• DOL sub-mode variable contents a

E-87A Basic DFL Sub-mode ProcedureExample 1: To calculate the degree of financial leverage(DFL)1. Input the required values from the Setting Values ta

E-7ContentsAbout this Manual ... 1Initializing the Calculator ... 3Safety Precau

E-88A Calculation FormulaEIT: Earnings Before Interest and Taxes (EBIT)ITR : InterestDFL : Degree of Financial Leveragek Degree of Combined Leverage S

E-89A Basic DCL Sub-mode ProcedureExample 1: To calculate the degree of combined leverage(DCL)1. Input the required values from the Setting Values tab

E-90A Calculation FormulaSAL: Sales AmountVC :Variable CostFC : Fixed CostITR : InterestDCL : Degree of Combined Leveragek Quantity Conversion Sub-mod

E-91A Setting ValuesNo. Display NameValues Usedin Examples1 SAL Sales Amount $100,0002 PRC Sales Price $200/unit3 QTY Sales Quantity 500 units4 VC Var

E-92Example 3: To calculate the sales quantity (QTY) fromvariable cost and unit variable cost1. Input the required values from among 4, 5, and 6 inth

E-93SAL = PRC × QTYVC = VCU × QTYA Calculation FormulasSAL: Sales AmountPRC : Sales PriceQTY : Sales QuantityVC :Variable CostVCU : Unit Variable

E-94Shortcutsk Custom Shortcut KeysYou can assign a mode, setup information, a value, or acalculation expression to a shortcut key for instant accessw

E-955. Use fc to select“Shortcut1”, and then pressE.6. In response to the confirmation screen that appears,press E(Yes).• If you want to cancel this o

E-963. Use fc to select “FV”, and then press l toperform the calculation.• This calculates the future value of the investment afterfive years. The r

E-97u To configure an FMEM keyExample: To assign the function “sin–1” to the FMEM1 key1. Press m to enter the COMP Mode.2. (1) t(2) “sin–1” (fc), then