Finite Math Examples

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

Step 1

Simplify.

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Step 1.1

Move ${(1 + 0.04)}^{- 30}$ to the denominator using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

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

Step 1.2

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

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

Step 1.3

Divide $1$ by $0.1297359$ .

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

Step 1.4

Multiply $- 1$ by $7.70796669$ .

$A n = 1300 (1 - 7.70796669)$

Step 1.5

Subtract $7.70796669$ from $1$ .

$A n = 1300 \cdot - 6.70796669$

Step 1.6

Multiply $1300$ by $- 6.70796669$ .

$A n = - 8720.35670913$

Step 2

Divide each term in $A n = - 8720.35670913$ by $n$ and simplify.

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Step 2.1

Divide each term in $A n = - 8720.35670913$ by $n$ .

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

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $n$ .

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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.

$A =$