Finite Math Examples

$R = (\frac{135000 (0.08)}{1 - {(1.08)}^{- 10}})$

Step 1

Remove parentheses.

$R = \frac{135000 (0.08)}{1 - {(1.08)}^{- 10}}$

Step 2

Remove parentheses.

$R = \frac{135000 (0.08)}{1 - {1.08}^{- 10}}$

Step 3

Remove parentheses.

$R = \frac{135000 (0.08)}{1 - {(1.08)}^{- 10}}$

Step 4

Simplify $\frac{135000 (0.08)}{1 - {(1.08)}^{- 10}}$ .

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Step 4.1

Multiply $135000$ by $0.08$ .

$R = \frac{10800}{1 - {1.08}^{- 10}}$

Step 4.2

Simplify the denominator.

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Step 4.2.1

Rewrite the expression using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$R = \frac{10800}{1 - \frac{1}{{1.08}^{10}}}$

Step 4.2.2

Raise $1.08$ to the power of $10$ .

$R = \frac{10800}{1 - \frac{1}{2.15892499}}$

Step 4.2.3

Divide $1$ by $2.15892499$ .

$R = \frac{10800}{1 - 1 \cdot 0.46319348}$

Step 4.2.4

Multiply $- 1$ by $0.46319348$ .

$R = \frac{10800}{1 - 0.46319348}$

Step 4.2.5

Subtract $0.46319348$ from $1$ .

$R = \frac{10800}{0.53680651}$

Step 4.3

Divide $10800$ by $0.53680651$ .

$R = 20118.9809741$