Finite Math Examples

$\frac{5800 (\frac{0.18}{12})}{1 - {(1 + \frac{0.18}{12})}^{- 12 \cdot 5}}$

Step 1

Combine $5800$ and $\frac{0.18}{12}$ .

$\frac{\frac{5800 \cdot 0.18}{12}}{1 - {(1 + \frac{0.18}{12})}^{- 12 \cdot 5}}$

Step 2

Simplify the denominator.

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Step 2.1

Divide $0.18$ by $12$ .

$\frac{\frac{5800 \cdot 0.18}{12}}{1 - {(1 + 0.015)}^{- 12 \cdot 5}}$

Step 2.2

Add $1$ and $0.015$ .

$\frac{\frac{5800 \cdot 0.18}{12}}{1 - {1.015}^{- 12 \cdot 5}}$

Step 2.3

Multiply $- 12$ by $5$ .

$\frac{\frac{5800 \cdot 0.18}{12}}{1 - {1.015}^{- 60}}$

Step 2.4

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

$\frac{\frac{5800 \cdot 0.18}{12}}{1 - \frac{1}{{1.015}^{60}}}$

Step 2.5

Raise $1.015$ to the power of $60$ .

$\frac{\frac{5800 \cdot 0.18}{12}}{1 - \frac{1}{2.44321977}}$

Step 2.6

Divide $1$ by $2.44321977$ .

$\frac{\frac{5800 \cdot 0.18}{12}}{1 - 1 \cdot 0.40929596}$

Step 2.7

Multiply $- 1$ by $0.40929596$ .

$\frac{\frac{5800 \cdot 0.18}{12}}{1 - 0.40929596}$

Step 2.8

Subtract $0.40929596$ from $1$ .

$\frac{\frac{5800 \cdot 0.18}{12}}{0.59070403}$

Step 3

Simplify the expression.

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Step 3.1

Multiply $5800$ by $0.18$ .

$\frac{\frac{1044}{12}}{0.59070403}$

Step 3.2

Divide $1044$ by $12$ .

$\frac{87}{0.59070403}$

Step 3.3

Divide $87$ by $0.59070403$ .

$147.28187907$