Finite Math Examples

$\frac{1115.625}{1 - {(1 + \frac{7.5 %}{12})}^{- 12 \cdot 15}}$

Step 1

Convert $7.5 %$ to a decimal.

$\frac{1115.625}{1 - {(1 + \frac{0.075}{12})}^{- 12 \cdot 15}}$

Step 2

Simplify the denominator.

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Step 2.1

Divide $0.075$ by $12$ .

$\frac{1115.625}{1 - {(1 + 0.00625)}^{- 12 \cdot 15}}$

Step 2.2

Add $1$ and $0.00625$ .

$\frac{1115.625}{1 - {1.00625}^{- 12 \cdot 15}}$

Step 2.3

Multiply $- 12$ by $15$ .

$\frac{1115.625}{1 - {1.00625}^{- 180}}$

Step 2.4

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

$\frac{1115.625}{1 - \frac{1}{{1.00625}^{180}}}$

Step 2.5

Raise $1.00625$ to the power of $180$ .

$\frac{1115.625}{1 - \frac{1}{3.06945172}}$

Step 2.6

Divide $1$ by $3.06945172$ .

$\frac{1115.625}{1 - 1 \cdot 0.32579108}$

Step 2.7

Multiply $- 1$ by $0.32579108$ .

$\frac{1115.625}{1 - 0.32579108}$

Step 2.8

Subtract $0.32579108$ from $1$ .

$\frac{1115.625}{0.67420891}$

Step 3

Divide $1115.625$ by $0.67420891$ .

$1654.7170626$