Finite Math Examples

$x = \frac{520}{1 - {(1 + \frac{0.052}{12})}^{- 12 \cdot 15}}$

Step 1

Simplify the denominator.

Tap for more steps...

Step 1.1

Divide $0.052$ by $12$ .

$x = \frac{520}{1 - {(1 + 0.004\overline{3})}^{- 12 \cdot 15}}$

Step 1.2

Add $1$ and $0.004\overline{3}$ .

$x = \frac{520}{1 - {1.004\overline{3}}^{- 12 \cdot 15}}$

Step 1.3

Multiply $- 12$ by $15$ .

$x = \frac{520}{1 - {1.004\overline{3}}^{- 180}}$

Step 1.4

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

$x = \frac{520}{1 - \frac{1}{{1.004\overline{3}}^{180}}}$

Step 1.5

Raise $1.004\overline{3}$ to the power of $180$ .

$x = \frac{520}{1 - \frac{1}{2.17779928}}$

Step 1.6

Divide $1$ by $2.17779928$ .

$x = \frac{520}{1 - 1 \cdot 0.45917913}$

Step 1.7

Multiply $- 1$ by $0.45917913$ .

$x = \frac{520}{1 - 0.45917913}$

Step 1.8

Subtract $0.45917913$ from $1$ .

$x = \frac{520}{0.54082086}$

Step 2

Divide $520$ by $0.54082086$ .

$x = 961.5013703$