Finite Math Examples

$500 (\frac{1 - {(1 + \frac{0.08}{12})}^{- 12 \cdot 6}}{\frac{0.08}{12}})$

Step 1

Simplify the numerator.

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Step 1.1

Divide $0.08$ by $12$ .

$500 \frac{1 - {(1 + 0.00\overline{6})}^{- 12 \cdot 6}}{\frac{0.08}{12}}$

Step 1.2

Add $1$ and $0.00\overline{6}$ .

$500 \frac{1 - {1.00\overline{6}}^{- 12 \cdot 6}}{\frac{0.08}{12}}$

Step 1.3

Multiply $- 12$ by $6$ .

$500 \frac{1 - {1.00\overline{6}}^{- 72}}{\frac{0.08}{12}}$

Step 1.4

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

$500 \frac{1 - \frac{1}{{1.00\overline{6}}^{72}}}{\frac{0.08}{12}}$

Step 1.5

Raise $1.00\overline{6}$ to the power of $72$ .

$500 \frac{1 - \frac{1}{1.61350216}}{\frac{0.08}{12}}$

Step 1.6

Divide $1$ by $1.61350216$ .

$500 \frac{1 - 1 \cdot 0.61976985}{\frac{0.08}{12}}$

Step 1.7

Multiply $- 1$ by $0.61976985$ .

$500 \frac{1 - 0.61976985}{\frac{0.08}{12}}$

Step 1.8

Subtract $0.61976985$ from $1$ .

$500 \frac{0.38023014}{\frac{0.08}{12}}$

Step 2

Simplify the expression.

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Step 2.1

Divide $0.08$ by $12$ .

$500 (\frac{0.38023014}{0.00\overline{6}})$

Step 2.2

Divide $0.38023014$ by $0.00\overline{6}$ .

$500 \cdot 57.03452214$

Step 2.3

Multiply $500$ by $57.03452214$ .

$28517.26107375$