Finite Math Examples

$\frac{18100}{\frac{1 - {(1 + \frac{0.12}{2})}^{- 12}}{\frac{0.12}{2}}}$

Step 1

Multiply the numerator by the reciprocal of the denominator.

$18100 \frac{\frac{0.12}{2}}{1 - {(1 + \frac{0.12}{2})}^{- 12}}$

Step 2

Multiply the numerator by the reciprocal of the denominator.

$18100 (\frac{0.12}{2} \cdot \frac{1}{1 - {(1 + \frac{0.12}{2})}^{- 12}})$

Step 3

Divide $0.12$ by $2$ .

$18100 (0.06 \frac{1}{1 - {(1 + \frac{0.12}{2})}^{- 12}})$

Step 4

Simplify the denominator.

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Step 4.1

Divide $0.12$ by $2$ .

$18100 (0.06 \frac{1}{1 - {(1 + 0.06)}^{- 12}})$

Step 4.2

Add $1$ and $0.06$ .

$18100 (0.06 \frac{1}{1 - {1.06}^{- 12}})$

Step 4.3

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

$18100 (0.06 \frac{1}{1 - \frac{1}{{1.06}^{12}}})$

Step 4.4

Raise $1.06$ to the power of $12$ .

$18100 (0.06 \frac{1}{1 - \frac{1}{2.01219647}})$

Step 4.5

Divide $1$ by $2.01219647$ .

$18100 (0.06 \frac{1}{1 - 1 \cdot 0.49696936})$

Step 4.6

Multiply $- 1$ by $0.49696936$ .

$18100 (0.06 \frac{1}{1 - 0.49696936})$

Step 4.7

Subtract $0.49696936$ from $1$ .

$18100 (0.06 (\frac{1}{0.50303063}))$

Step 5

Divide $1$ by $0.50303063$ .

$18100 (0.06 \cdot 1.98795048)$

Step 6

Multiply $18100 (0.06 \cdot 1.98795048)$ .

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Step 6.1

Multiply $0.06$ by $1.98795048$ .

$18100 \cdot 0.11927702$

Step 6.2

Multiply $18100$ by $0.11927702$ .

$2158.91423179$