Finite Math Examples

$x = \frac{100 (1 - {(1 + \frac{0.09}{12})}^{- 144})}{\frac{0.09}{12}}$

Step 1

Multiply the numerator by the reciprocal of the denominator.

$x = 100 (1 - {(1 + \frac{0.09}{12})}^{- 144}) \frac{12}{0.09}$

Step 2

Simplify each term.

Tap for more steps...

Step 2.1

Divide $0.09$ by $12$ .

$x = 100 (1 - {(1 + 0.0075)}^{- 144}) \frac{12}{0.09}$

Step 2.2

Add $1$ and $0.0075$ .

$x = 100 (1 - {1.0075}^{- 144}) \frac{12}{0.09}$

Step 2.3

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

$x = 100 (1 - \frac{1}{{1.0075}^{144}}) \frac{12}{0.09}$

Step 2.4

Raise $1.0075$ to the power of $144$ .

$x = 100 (1 - \frac{1}{2.93283677}) \frac{12}{0.09}$

Step 2.5

Divide $1$ by $2.93283677$ .

$x = 100 (1 - 1 \cdot 0.34096681) \frac{12}{0.09}$

Step 2.6

Multiply $- 1$ by $0.34096681$ .

$x = 100 (1 - 0.34096681) \frac{12}{0.09}$

Step 3

Simplify the expression.

Tap for more steps...

Step 3.1

Subtract $0.34096681$ from $1$ .

$x = 100 \cdot 0.65903318 \frac{12}{0.09}$

Step 3.2

Multiply $100$ by $0.65903318$ .

$x = 65.90331896 (\frac{12}{0.09})$

Step 3.3

Divide $12$ by $0.09$ .

$x = 65.90331896 \cdot 133.\overline{3}$

Step 3.4

Multiply $65.90331896$ by $133.\overline{3}$ .

$x = 8787.10919526$