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BizMathica Reference

Formulas: All, Business/Financial, Conversion, Date, Standard

Functions: All, Business/Financial, Conversion, Date, Formatter, Standard, Statistical, Trig

Global Parameters: All


All Formulas (alphabetically) [Top]

Formula Purpose
Amort() Amortization Schedule
Breakeven() Breakeven Analysis
CelsiusTo() Celsius to Fahrenheit conversion
CompoundInterest() Compound Interest
DateAdd() Add # of days to specified date
DayOfWeek() Day of week for specified date
DaysBetween() # of days between specified dates
DaysTo() Convert days to years, hours, minutes and seconds
DaysUntil() # of days until specified date
Effect() Effective annual interest rate, given nominal rate and # of compounding periods/year
FahrTo() Fahrenheit to Celsius conversion
FootMeter() Foot/Meter Conversion
HomeCurrency()

Convert other currency to home currency.

Set ExchgRateToHome global parameter to specify exchange rate to use.

HoursTo() Convert hours to years, days, minutes and seconds
InchCM() Inch/Centimeter Conversion
Inv() Inverse of x
LoanAMT() Loan amount
LoanPMT() Loan payment per month
LoanRate() Loan interest rate per year
Markup() Cost-Sell-Markup
MileKM() Mile/Kilometer Conversion
MinsTo() Convert minutes to year, days, hours and seconds
MortgageAMT() Mortgage amount
MortgagePMT() Mortgage payment per month
MortgageRate() Mortgage interest rate per year
Nominal() Nominal annual interest rate, given effective rate and # of compounding periods/year
OtherCurrency()

Convert home currency to other currency.

Set ExchgRateToOther global parameter to specify exchange rate to use.

PercentChange() Percent Change In Values
PoundKG() Pound/Kilogram Conversion
Pow() Raise base to power
ProfitMargin() Profit Margin
Root() Integer root of num
SecsTo() Convert seconds to years, days, hours and minutes
Tip()

Compute tip for good service.

Computes tip amount, total including tax and total excluding tax (useful if item you are giving a tip for is not taxable).

Set TipPercent global parameter to specify tip percentage to use.

Set TaxPercent global parameter to specify tax rate percentage to use.

Tip2()

Compute tip for good service (prompt for tip percentage to use).

Computes tip amount, total including tax and total excluding tax (useful if item you are giving a tip for is not taxable).

Set TaxPercent global parameter to specify tax rate percentage to use

Tip3()

Compute tip for good service (prompt for tax & tip percentages to use).

Computes tip amount, total including tax and total excluding tax (useful if item you are giving a tip for is not taxable).

TodayAdd() Add # of days to today's date
Tvm() Time Value of Money
UKGallonLiter() UK Gallon/Liter Conversion
USGallonLiter() US Gallon/Liter Conversion
YardMeter() Yard/Meter Conversion
YearsTo() Convert years to days, hours, minutes and seconds

Business/Financial Formulas [Top]

Business/Financial Formulas Purpose
Breakeven() Breakeven Analysis
CompoundInterest() Compound Interest
Effect() Effective annual interest rate, given nominal rate and # of compounding periods/year
HomeCurrency()

Convert other currency to home currency.

Set ExchgRateToHome global parameter to specify exchange rate to use.

LoanAMT() Loan amount
LoanPMT() Loan payment per month
LoanRate() Loan interest rate per year
Markup() Cost-Sell-Markup
MortgageAMT() Mortgage amount
MortgagePMT() Mortgage payment per month
MortgateRate() Mortgage interest rate per year
Nominal() Nominal annual interest rate, given effective rate and # of compounding periods/year
OtherCurrency()

Convert home currency to other currency.

Set ExchgRateToOther global parameter to specify exchange rate to use.

PercentChange() Percent Change In Values
ProfitMargin() Profit Margin
Tip()

Compute tip for good service.

Computes tip amount, total including tax and total excluding tax (useful if item you are giving a tip for is not taxable).

Set TipPercent global parameter to specify tip percentage to use.

Set TaxPercent global parameter to specify tax rate percentage to use.

Tip2()

Compute tip for good service (prompt for tip percentage to use).

Computes tip amount, total including tax and total excluding tax (useful if item you are giving a tip for is not taxable).

Set TaxPercent global parameter to specify tax rate percentage to use.

Tip3()

Compute tip for good service (prompt for tax & tip percentages to use)

Computes tip amount, total including tax and total excluding tax (useful if item you are giving a tip for is not taxable).

Tvm() Time Value of Money

Conversion Formulas [Top]

Conversion Formulas Purpose
CelsiusTo() Celsius to Fahrenheit conversion
FahrTo() Fahrenheit to Celsius conversion
FootMeter() Foot/Meter Conversion
HomeCurrency() Convert other currency to home currency
InchCM() Inch/Centimeter Conversion
MileKM() Mile/Kilometer Conversion
OtherCurrency() Convert home currency to other currency
PoundKG() Pound/Kilogram Conversion
UKGallonLiter() UK Gallon/Liter Conversion
USGallonLiter() US Gallon/Liter Conversion
YardMeter() Yard/Meter Conversion

Date Formulas [Top]

Date Formulas Purpose
DateAdd() Add # of days to specified date
DayOfWeek() Day of week for specified date
DaysBetween() # of days between specified dates
DaysTo() Convert days to years, hours, minutes and seconds
DaysUntil() # of days until specified date
HoursTo() Convert hours to years, days, minutes and seconds
MinsTo() Convert minutes to year, days, hours and seconds
SecsTo() Convert seconds to years, days, hours and minutes
TodayAdd() Add # of days to today's date
YearsTo() Convert years to days, hours, minutes and seconds

Standard Formulas [Top]

Standard Formulas Purpose
Inv() Inverse of x
Pow() Raise base to power
Root() Integer root of num


All Functions (alphabetically) [Top]

Function Purpose
Abs(num) Absolute value of number
Acos(num) Inverse cosine of num; result in degrees
Acosh(num) Inverse hyperbolic cosine of num; result in degrees
Acot(num) Inverse cotangent of num; result in degrees
Acoth(num) Inverse hyperbolic cotangent of num; result in degrees
Acsc(num) Inverse cosecant of num; result in degrees
Acsch(num) Inverse hyperbolic cosecant of num; result in degrees
Asec(num) Inverse secant of num; result in degrees
Asech(num) Inverse hyperbolic secant of num; result in degrees
Asin(num) Inverse sine of num; result in degrees
Asinh(num) Inverse hyperbolic sine of num; result in degrees
Atan(num) Inverse tangent of num; result in degrees
Atanh(num) Inverse hyperbolic tangent of num; result in degrees
Avg(num, …) Average of numbers
Breakeven?(fixedCost?, variableCost?, unitPrice?, profit?, quantity?) Perform breakeven analysis
C(n, r) # of ways of picking r unordered outcomes from n possibilities (no repetition)
Cos(degrees) Cosine of angle in degrees
Cosh(degrees) Hyperbolic cosine of angle in degrees
Cot(degrees) Cotangent of angle in degrees
Coth(degrees) Hyperbolic cotangent of angle in degrees
Csc(degrees) Cosecant of angle in degrees
Csch(degrees) Hyperbolic cosecant of angle in degrees
DateAdd(month, day, year, days) Add # of days to specified date (e.g. DateAdd(1, 15, 2010, 100))
DayHour?(days?, hours?) Convert between days and hours
DayMin?(days?, mins?) Convert between days and minutes
DaySec?(days?, secs?) Convert between days and seconds
DaysBetween(month1, day1, year1, month2, day2, year2) # of days between specified dates
DaysUntil(month, day, year) # of days until specified date (e.g. DaysUntil(1, 15, 2010))
Decimals(number, digitsAfterPoint) Specify # of digits to display after decimal point
Degrees(radians) Convert angle in radians to degrees
Div(div1, div2) Divide div1 by div2
E(exp) Natural antilogarithm (e to power 'exp')
FahrCelsius?(fahr?, Celsius?) Convert between Fahrenheit and Celsius degrees
FootMeter?(feet?, meters?) Convert between feet and meters
HourMin?(hours?, mins?) Convert between hours and minutes
HourSec?(hours?, secs?) Convert between hours and seconds
InchCM?(inches?, centimeters?) Convert between inches and centimeters
Interest?(nominal%?, effect%?, periods) Convert between nominal and effective annual interest rate for # of compounding periods/year
Inv(x) Inverse of x (1/x)
Ln(num) Natural logarithm of num
Log(num) Base 10 logarithm of num
Log2(num) Base 2 logarithm of num
Median(num, …) Median of numbers
MileKM?(miles?, kilometers?) Convert between miles and kilometers
MinSec?(mins?, secs?) Convert between minutes and seconds
Mod(num, modulus)

Modulus mod of num.

= num - modulus*INT(num/modulus)

where INT() = Rounds a number down to the nearest integer
e.g. INT(-8.4) = -9, INT(8.9) = 8

Mul(multiplicand, …) Multiply parameters
P(n, r) # of ways of obtaining an ordered subset of r elements from a set of n elements (no repetition)
Percent(num) Divide num by 100
PercentChange?(old?, new?, change%?, periods?) Calculate percent change, compound interest, or cost-sell-markup.

Specify '1' for 'periods?' when it is not needed.
PoundKG?(pounds?, kilograms?) Convert between pounds and kilograms
Pow(base, exp) Raise 'base' to power 'exp'
ProfitMargin?(price?, cost?, margin%?) Calculate profit margin variable
Radians(degrees) Convert angle in degrees to radians
Rnd(num) Random non-negative integer in the range 0...num-1 inclusive
Root(num, root) Integer root of num (e.g. root(10,7)=7th root of 10)
Sec(degrees) Secant of angle in degrees
Sech(degrees) Hyperbolic secant of angle in degrees
Sin(degrees) Sine of angle in degrees
Sinh(degrees) Hyperbolic sine of angle in degrees
Sqrt(num) Square root of num
StdDevP(num, …) Standard deviation based on entire population ("N method, biased)
StdDevS(num, …) Standard deviation based on sample ("N-1 method, unbiased)
Sum(summand, …) Sum parameters
Tan(degrees) Tangent of angle in degrees
Tanh(degrees) Hyperbolic cotangent of angle in degrees
TodayAdd(days) Add # of days to today's date
Tvm?(N?, IpY?, PV?, PMT?, FV?, PpY, CpY, BeginPeriodPMT) Calculate time value of money
UKGallonLiter?(gallons?, liters?) Convert between UK gallons and liters
USGallonLiter?(gallons?, liters?) Convert between US gallons and liters
VarP(num, …) Variance based on entire population ("N method, biased)
VarS(num, …) Variance based on sample ("N-1 method, unbiased)
YardMeter?(yards?, meters?) Convert between yards and meters
YearDay?(years?, days?) Convert between years and days
YearHour?(years?, hours?) Convert between years and hours
YearMin?(years?, mins?) Convert between years and minutes
YearSec?(years?, secs?) Convert between years and seconds

Business/Financial Functions [Top]

Business/Financial Functions Purpose
Breakeven?(fixedCost?, variableCost?, unitPrice?, profit?, quantity?) Perform breakeven analysis
Interest?(nominal%?, effect%?, periods) Convert between nominal and effective annual interest rate for # of compounding periods/year
PercentChange?(old?, new?, change%?, periods?)

Calculate percent change, compound interest, or cost-sell-markup.

Specify '1' for 'periods?' when it is not needed.

ProfitMargin?(price?, cost?, margin%?) Calculate profit margin variable
Tvm?(N?, IpY?, PV?, PMT?, FV?, PpY, CpY, BeginPeriodPMT) Calculate time value of money

Conversion Functions [Top]

Conversion Functions Purpose
FahrCelsius?(fahr?, celsius?) Convert between Fahrenheit and Celsius degrees
FootMeter?(feet?, meters?) Convert between feet and meters
InchCM?(inches?, centimeters?) Convert between inches and centimeters
MileKM?(miles?, kilometers?) Convert between miles and kilometers
PoundKG?(pounds?, kilograms?) Convert between pounds and kilograms
UKGallonLiter?(gallons?, liters?) Convert between UK gallons and liters
USGallonLiter?(gallons?, liters?) Convert between US gallons and liters
YardMeter?(yards?, meters?) Convert between yards and meters

Date Functions [Top]

Date Functions Purpose
DateAdd(month, day, year, days) Add # of days to specified date (e.g. DateAdd(1, 15, 2010, 100))
DayHour?(days?, hours?) Convert between days and hours
DayMin?(days?, mins?) Convert between days and minutes
DaySec?(days?, secs?) Convert between days and seconds
DaysBetween(month1, day1, year1, month2, day2, year2) # of days between specified dates
DaysUntil(month, day, year) # of days until specified date (e.g. DaysUntil(1, 15, 2010))
HourMin?(hours?, mins?) Convert between hours and minutes
HourSec?(hours?, secs?) Convert between hours and seconds
MinSec?(mins?, secs?) Convert between minutes and seconds
TodayAdd(days) Add # of days to today's date
YearDay?(years?, days?) Convert between years and days
YearHour?(years?, hours?) Convert between years and hours
YearMin?(years?, mins?) Convert between years and minutes
YearSec?(years?, secs?) Convert between years and seconds

Formatter Functions [Top]

Formatter Functions Purpose
Decimals(number, digitsAfterPoint) Specify # of digits to display after decimal point

Standard Functions [Top]

Standard Functions Purpose
Abs(num, ...) Absolute value of number
C(n, r) # of ways of picking r unordered outcomes from n possibilities (no repetition)
Div(div1, div2) Divide div1 by div2
E(exp) Natural antilogarithm (e to power 'exp')
Inv(x) Inverse of x (1/x)
Ln(num) Natural logarithm of num
Log(num) Base 10 logarithm of num
Log2(num) Base 2 logarithm of num
Mod(num, modulus)

Modulus mod of num.

= num - modulus*INT(num/modulus)

where INT() = Rounds a number down to the nearest integer
e.g. INT(-8.4) = -9, INT(8.9) = 8

Mul(multiplicand, …) Multiply parameters
P(n, r) # of ways of obtaining an ordered subset of r elements from a set of n elements (no repetition)
Percent(num) Divide num by 100
Pow(base, exp) Raise 'base' to power 'exp'
Root(num, root) Integer root of num (e.g. root(10,7)=7th root of 10)
Sqrt(num) Square root of num
Sum(summand, …) Sum parameters

Statistical Functions [Top]

Statistical Functions Purpose
Avg(num, ...) Average of numbers
Median(num, …) Median of numbers
Rnd(num) Random non-negative integer in the range 0...num-1 inclusive
StdDevP(num, ...) Standard deviation based on entire population ("N method", biased)
StdDevS(num, ...) Standard deviation based on sample ("N-1 method", unbiased)
VarP(num, ...) Variance based on entire population ("N method", biased)
VarS(num, ...) Variance based on sample ("N-1 method", unbiased)

Trigonometric Functions [Top]

Trigonometric Functions Purpose
Acos(num) Inverse cosine of num; result in degrees
Acosh(num) Inverse hyperbolic cosine of num; result in degrees
Acot(num) Inverse cotangent of num; result in degrees
Acoth(num) Inverse hyperbolic cotangent of num; result in degrees
Acsc(num) Inverse cosecant of num; result in degrees
Acsch(num) Inverse hyperbolic cosecant of num; result in degrees
Asec(num) Inverse secant of num; result in degrees
Asech(num) Inverse hyperbolic secant of num; result in degrees
Asin(num) Inverse sine of num; result in degrees
Asinh(num) Inverse hyperbolic sine of num; result in degrees
Atan(num) Inverse tangent of num; result in degrees
Atanh(num) Inverse hyperbolic tangent of num; result in degrees
Cos(degrees) Cosine of angle in degrees
Cosh(degrees) Hyperbolic cosine of angle in degrees
Cot(degrees) Cotangent of angle in degrees
Coth(degrees) Hyperbolic cotangent of angle in degrees
Csc(degrees) Cosecant of angle in degrees
Csch(degrees) Hyperbolic cosecant of angle in degrees
Degrees(radians) Convert angle in radians to degrees
Radians(degrees) Convert angle in degrees to radians
Sec(degrees) Secant of angle in degrees
Sech(degrees) Hyperbolic secant of angle in degrees
Sin(degrees) Sine of angle in degrees
Sinh(degrees) Hyperbolic sine of angle in degrees
Tan(degrees) Tangent of angle in degrees
Tanh(degrees) Hyperbolic cotangent of angle in degrees


Global Parameters [Top]

Parameter Purpose
@ Last Result
E Base of natural logarithms
ExchgRateToHome

Exchange rate to convert from other to home currency (default = 1.0000).

Used by HomeCurrency formula.

ExchgRateToOther

Exchange rate to convert from home to other currency (default = 1.0000).

Used by OtherCurrency formula.

Pi Pi
TaxPercent

Tax Rate in percent (default = 15).

Used by Tip and Tip2 formulas.

TipPercent

Percent to tip (default = 15).

Used by Tip formula.

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Last Updated: November 24, 2007
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