Finite Math Examples

$\frac{5900 (\frac{12 %}{12})}{1 - {(1 + \frac{12 %}{12})}^{- 12 \cdot 1}}$

Step 1

Combine fractions.

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Step 1.1

Convert $12 %$ to a decimal.

$\frac{5900 (\frac{0.12}{12})}{1 - {(1 + \frac{12 %}{12})}^{- 12 \cdot 1}}$

Step 1.2

Convert $12 %$ to a decimal.

$\frac{5900 (\frac{0.12}{12})}{1 - {(1 + \frac{0.12}{12})}^{- 12 \cdot 1}}$

Step 1.3

Combine $5900$ and $\frac{0.12}{12}$ .

$\frac{\frac{5900 \cdot 0.12}{12}}{1 - {(1 + \frac{0.12}{12})}^{- 12 \cdot 1}}$

Step 2

Simplify the denominator.

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Step 2.1

Divide $0.12$ by $12$ .

$\frac{\frac{5900 \cdot 0.12}{12}}{1 - {(1 + 0.01)}^{- 12 \cdot 1}}$

Step 2.2

Add $1$ and $0.01$ .

$\frac{\frac{5900 \cdot 0.12}{12}}{1 - {1.01}^{- 12 \cdot 1}}$

Step 2.3

Multiply $- 12$ by $1$ .

$\frac{\frac{5900 \cdot 0.12}{12}}{1 - {1.01}^{- 12}}$

Step 2.4

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

$\frac{\frac{5900 \cdot 0.12}{12}}{1 - \frac{1}{{1.01}^{12}}}$

Step 2.5

Raise $1.01$ to the power of $12$ .

$\frac{\frac{5900 \cdot 0.12}{12}}{1 - \frac{1}{1.12682503}}$

Step 2.6

Divide $1$ by $1.12682503$ .

$\frac{\frac{5900 \cdot 0.12}{12}}{1 - 1 \cdot 0.88744922}$

Step 2.7

Multiply $- 1$ by $0.88744922$ .

$\frac{\frac{5900 \cdot 0.12}{12}}{1 - 0.88744922}$

Step 2.8

Subtract $0.88744922$ from $1$ .

$\frac{\frac{5900 \cdot 0.12}{12}}{0.11255077}$

Step 3

Simplify the expression.

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Step 3.1

Multiply $5900$ by $0.12$ .

$\frac{\frac{708}{12}}{0.11255077}$

Step 3.2

Divide $708$ by $12$ .

$\frac{59}{0.11255077}$

Step 3.3

Divide $59$ by $0.11255077$ .

$524.2078532$