Finite Math Examples

$\frac{250000 (\frac{0.095}{12})}{1 - {(1 + \frac{0.095}{12})}^{- 12 \cdot 30}}$

Step 1

Combine $250000$ and $\frac{0.095}{12}$ .

$\frac{\frac{250000 \cdot 0.095}{12}}{1 - {(1 + \frac{0.095}{12})}^{- 12 \cdot 30}}$

Step 2

Simplify the denominator.

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Step 2.1

Divide $0.095$ by $12$ .

$\frac{\frac{250000 \cdot 0.095}{12}}{1 - {(1 + 0.00791\overline{6})}^{- 12 \cdot 30}}$

Step 2.2

Add $1$ and $0.00791\overline{6}$ .

$\frac{\frac{250000 \cdot 0.095}{12}}{1 - {1.00791\overline{6}}^{- 12 \cdot 30}}$

Step 2.3

Multiply $- 12$ by $30$ .

$\frac{\frac{250000 \cdot 0.095}{12}}{1 - {1.00791\overline{6}}^{- 360}}$

Step 2.4

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

$\frac{\frac{250000 \cdot 0.095}{12}}{1 - \frac{1}{{1.00791\overline{6}}^{360}}}$

Step 2.5

Raise $1.00791\overline{6}$ to the power of $360$ .

$\frac{\frac{250000 \cdot 0.095}{12}}{1 - \frac{1}{17.09486179}}$

Step 2.6

Divide $1$ by $17.09486179$ .

$\frac{\frac{250000 \cdot 0.095}{12}}{1 - 1 \cdot 0.0584971}$

Step 2.7

Multiply $- 1$ by $0.0584971$ .

$\frac{\frac{250000 \cdot 0.095}{12}}{1 - 0.0584971}$

Step 2.8

Subtract $0.0584971$ from $1$ .

$\frac{\frac{250000 \cdot 0.095}{12}}{0.94150289}$

Step 3

Reduce the expression by cancelling the common factors.

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Step 3.1

Multiply $250000$ by $0.095$ .

$\frac{\frac{23750}{12}}{0.94150289}$

Step 3.2

Cancel the common factor of $23750$ and $12$ .

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Step 3.2.1

Factor $2$ out of $23750$ .

$\frac{\frac{2 (11875)}{12}}{0.94150289}$

Step 3.2.2

Cancel the common factors.

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Step 3.2.2.1

Factor $2$ out of $12$ .

$\frac{\frac{2 \cdot 11875}{2 \cdot 6}}{0.94150289}$

Step 3.2.2.2

Cancel the common factor.

$\frac{\frac{2 \cdot 11875}{2 \cdot 6}}{0.94150289}$

Step 3.2.2.3

Rewrite the expression.

$\frac{\frac{11875}{6}}{0.94150289}$

Step 4

Multiply the numerator by the reciprocal of the denominator.

$\frac{11875}{6} \cdot \frac{1}{0.94150289}$

Step 5

Divide $1$ by $0.94150289$ .

$\frac{11875}{6} \cdot 1.06213163$

Step 6

Multiply $\frac{11875}{6} \cdot 1.06213163$ .

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Step 6.1

Combine $\frac{11875}{6}$ and $1.06213163$ .

$\frac{11875 \cdot 1.06213163}{6}$

Step 6.2

Multiply $11875$ by $1.06213163$ .

$\frac{12612.81310768}{6}$

Step 7

Divide $12612.81310768$ by $6$ .

$2102.13551794$