Finite Math Examples

An,

A n = 1300 (1 - \frac{{(1 + 0.04)}^{- 30}}{0.04})

$A n = 1300 (1 - \frac{{(1 + 0.04)}^{- 30}}{0.04})$

Step 1

Simplify.

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Step 1.1

Move

{(1 + 0.04)}^{- 30}

${(1 + 0.04)}^{- 30}$ to the denominator using the negative exponent rule

b^{- n} = \frac{1}{b^{n}}

$b^{- n} = \frac{1}{b^{n}}$ .

A n = 1300 (1 - \frac{1}{0.04 {(1 + 0.04)}^{30}})

$A n = 1300 (1 - \frac{1}{0.04 {(1 + 0.04)}^{30}})$

Step 1.2

Multiply

0.04

$0.04$ by

{(1 + 0.04)}^{30}

${(1 + 0.04)}^{30}$ .

A n = 1300 (1 - \frac{1}{0.1297359})

$A n = 1300 (1 - \frac{1}{0.1297359})$

Step 1.3

Divide

1

$1$ by

0.1297359

$0.1297359$ .

A n = 1300 (1 - 1 \cdot 7.70796669)

$A n = 1300 (1 - 1 \cdot 7.70796669)$

Step 1.4

Multiply

- 1

$- 1$ by

7.70796669

$7.70796669$ .

A n = 1300 (1 - 7.70796669)

$A n = 1300 (1 - 7.70796669)$

Step 1.5

Subtract

7.70796669

$7.70796669$ from

1

$1$ .

A n = 1300 \cdot - 6.70796669

$A n = 1300 \cdot - 6.70796669$

Step 1.6

Multiply

1300

$1300$ by

- 6.70796669

$- 6.70796669$ .

A n = - 8720.35670913

$A n = - 8720.35670913$

A n = - 8720.35670913

$A n = - 8720.35670913$

Step 2

Divide each term in

A n = - 8720.35670913

$A n = - 8720.35670913$ by

n

$n$ and simplify.

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Step 2.1

Divide each term in

A n = - 8720.35670913

$A n = - 8720.35670913$ by

n

$n$ .

\frac{A n}{n} = \frac{- 8720.35670913}{n}

$\frac{A n}{n} = \frac{- 8720.35670913}{n}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of

n

$n$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{A n}{n} = \frac{- 8720.35670913}{n}$

Step 2.2.1.2

Divide

$A$ by

$1$ .

$A = \frac{- 8720.35670913}{n}$

Step 2.3

Simplify the right side.

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Step 2.3.1

Move the negative in front of the fraction.

$A = - \frac{8720.35670913}{n}$

Step 3

Take the base solution.

$A =$