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Finance Formulas, Area and Volume Formulas - Study Guide | MATH 130, Study notes of Mathematics

Material Type: Notes; Class: The Nature of Math; Subject: Mathematics; University: The University of Tennessee-Martin; Term: Unknown 1989;

Typology: Study notes

Pre 2010

Uploaded on 08/18/2009

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Finance Formulas
Simple Interest: I = Prt, FV = P(1+ rt) (r = per year)
Compound Interest: FV = P(1+ i)n (i = per term)
Ordinary Annuity: FV = pymt (1 + i)n 1
i
Annuity Due: FV(due) = FV(ordinary) . (1+ i)
Legal Loan amount = Loan amount points fees
Payout Annuity
Amortized Loan P(1+ i)n = pymt (1 + i)n - 1
i
Area and Volume Formulas
Sphere: V = 4
3 πr3, A = 4πr2
Triangle (Heron): A = s(s - a)(s - b)(s - c)
where s = 1
2(a + b + c)
Statistics
Sample Variance: s2 = (x - x
_)2
n - 1 = 1
n - 1
x2 - ( x)2
n
Sample Standard Deviation: s = variance
Margin of Error: z
α/2
2 n z-score: z = x x
_
sd = x − µ
σ
c
b
a

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Finance Formulas

Simple Interest: I = Prt, FV = P (1 + rt ) ( r = per year)

Compound Interest: FV = P (1 + i ) n^ ( i = per term)

Ordinary Annuity: FV = pymt

(1 + i ) n^ − 1 i

Annuity Due: FV(due) = FV(ordinary).^ (1+ i )

Legal Loan amount = Loan amount − points − fees



 Payout Annuity  Amortized Loan P (1 + i )

n (^) = pymt (1^ +^ i )

n (^) - 1 i

Area and Volume Formulas

Sphere : V =

3 π r

(^3) , A = 4π r 2

Triangle (Heron): A = s ( s - a )( s - b )( s - c )

where s =

2 ( a^ +^ b^ +^ c )

Statistics

Sample Variance: s^2 =

∑ ( x^ -^ x

_

)^2

n - 1 =^

n - (^1) 

∑ x^2 -^

(∑ x )^2

n

Sample Standard Deviation: s = variance

Margin of Error :

z α/

2 n

z-score: z =

xx

_

sd =^

x − μ σ

c

b

a