Finite Math Examples

$166754 \cdot \frac{0.15 (0.096)}{\frac{12}{1 {(1 + \frac{0.096}{12})}^{360}}}$

Step 1

Multiply ${(1 + \frac{0.096}{12})}^{360}$ by $1$ .

$166754 \cdot \frac{0.15 (0.096)}{\frac{12}{{(1 + \frac{0.096}{12})}^{360}}}$

Step 2

Simplify the denominator.

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Step 2.1

Write $1$ as a fraction with a common denominator.

$166754 \cdot \frac{0.15 (0.096)}{\frac{12}{{(\frac{12}{12} + \frac{0.096}{12})}^{360}}}$

Step 2.2

Combine the numerators over the common denominator.

$166754 \cdot \frac{0.15 (0.096)}{\frac{12}{{(\frac{12 + 0.096}{12})}^{360}}}$

Step 2.3

Rewrite $\frac{12 + 0.096}{12}$ in a factored form.

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Step 2.3.1

Add $12$ and $0.096$ .

$166754 \cdot \frac{0.15 (0.096)}{\frac{12}{{(\frac{12.096}{12})}^{360}}}$

Step 2.3.2

Divide $12.096$ by $12$ .

$166754 \cdot \frac{0.15 (0.096)}{\frac{12}{{1.008}^{360}}}$

Step 2.4

Raise $1.008$ to the power of $360$ .

$166754 \cdot \frac{0.15 (0.096)}{\frac{12}{17.61130585}}$

Step 3

Simplify the expression.

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Step 3.1

Multiply $0.15$ by $0.096$ .

$166754 \cdot \frac{0.0144}{\frac{12}{17.61130585}}$

Step 3.2

Divide $12$ by $17.61130585$ .

$166754 \cdot \frac{0.0144}{0.68138047}$

Step 3.3

Divide $0.0144$ by $0.68138047$ .

$166754 \cdot 0.02113356$

Step 3.4

Multiply $166754$ by $0.02113356$ .

$3524.10683504$