Finite Math Examples

$\frac{8500 (\frac{0.11}{12})}{{(1 + \frac{0.11}{12})}^{12 \cdot 3} - 1}$

Step 1

Combine $8500$ and $\frac{0.11}{12}$ .

$\frac{\frac{8500 \cdot 0.11}{12}}{{(1 + \frac{0.11}{12})}^{12 \cdot 3} - 1}$

Step 2

Simplify the denominator.

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Step 2.1

Divide $0.11$ by $12$ .

$\frac{\frac{8500 \cdot 0.11}{12}}{{(1 + 0.0091\overline{6})}^{12 \cdot 3} - 1}$

Step 2.2

Add $1$ and $0.0091\overline{6}$ .

$\frac{\frac{8500 \cdot 0.11}{12}}{{1.0091\overline{6}}^{12 \cdot 3} - 1}$

Step 2.3

Multiply $12$ by $3$ .

$\frac{\frac{8500 \cdot 0.11}{12}}{{1.0091\overline{6}}^{36} - 1}$

Step 2.4

Raise $1.0091\overline{6}$ to the power of $36$ .

$\frac{\frac{8500 \cdot 0.11}{12}}{1.38887862 - 1}$

Step 2.5

Subtract $1$ from $1.38887862$ .

$\frac{\frac{8500 \cdot 0.11}{12}}{0.38887862}$

Step 3

Reduce the expression by cancelling the common factors.

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Step 3.1

Multiply $8500$ by $0.11$ .

$\frac{\frac{935}{12}}{0.38887862}$

Step 3.2

Cancel the common factor of $935$ and $12$ .

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Step 3.2.1

Rewrite $935$ as $1 (935)$ .

$\frac{\frac{1 (935)}{12}}{0.38887862}$

Step 3.2.2

Cancel the common factors.

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Step 3.2.2.1

Rewrite $12$ as $1 (12)$ .

$\frac{\frac{1 \cdot 935}{1 \cdot 12}}{0.38887862}$

Step 3.2.2.2

Cancel the common factor.

$\frac{\frac{1 \cdot 935}{1 \cdot 12}}{0.38887862}$

Step 3.2.2.3

Rewrite the expression.

$\frac{\frac{935}{12}}{0.38887862}$

Step 4

Multiply the numerator by the reciprocal of the denominator.

$\frac{935}{12} \cdot \frac{1}{0.38887862}$

Step 5

Divide $1$ by $0.38887862$ .

$\frac{935}{12} \cdot 2.57149641$

Step 6

Multiply $\frac{935}{12} \cdot 2.57149641$ .

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Step 6.1

Combine $\frac{935}{12}$ and $2.57149641$ .

$\frac{935 \cdot 2.57149641}{12}$

Step 6.2

Multiply $935$ by $2.57149641$ .

$\frac{2404.34914593}{12}$

Step 7

Divide $2404.34914593$ by $12$ .

$200.36242882$