Finite Math Examples

$\frac{4800 (\frac{0.16}{12})}{1 - {(1 + \frac{0.16}{12})}^{- 12 \cdot 3}}$

Step 1

Combine $4800$ and $\frac{0.16}{12}$ .

$\frac{\frac{4800 \cdot 0.16}{12}}{1 - {(1 + \frac{0.16}{12})}^{- 12 \cdot 3}}$

Step 2

Simplify the denominator.

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Step 2.1

Divide $0.16$ by $12$ .

$\frac{\frac{4800 \cdot 0.16}{12}}{1 - {(1 + 0.01\overline{3})}^{- 12 \cdot 3}}$

Step 2.2

Add $1$ and $0.01\overline{3}$ .

$\frac{\frac{4800 \cdot 0.16}{12}}{1 - {1.01\overline{3}}^{- 12 \cdot 3}}$

Step 2.3

Multiply $- 12$ by $3$ .

$\frac{\frac{4800 \cdot 0.16}{12}}{1 - {1.01\overline{3}}^{- 36}}$

Step 2.4

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

$\frac{\frac{4800 \cdot 0.16}{12}}{1 - \frac{1}{{1.01\overline{3}}^{36}}}$

Step 2.5

Raise $1.01\overline{3}$ to the power of $36$ .

$\frac{\frac{4800 \cdot 0.16}{12}}{1 - \frac{1}{1.61095659}}$

Step 2.6

Divide $1$ by $1.61095659$ .

$\frac{\frac{4800 \cdot 0.16}{12}}{1 - 1 \cdot 0.62074918}$

Step 2.7

Multiply $- 1$ by $0.62074918$ .

$\frac{\frac{4800 \cdot 0.16}{12}}{1 - 0.62074918}$

Step 2.8

Subtract $0.62074918$ from $1$ .

$\frac{\frac{4800 \cdot 0.16}{12}}{0.37925081}$

Step 3

Simplify the expression.

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Step 3.1

Multiply $4800$ by $0.16$ .

$\frac{\frac{768}{12}}{0.37925081}$

Step 3.2

Divide $768$ by $12$ .

$\frac{64}{0.37925081}$

Step 3.3

Divide $64$ by $0.37925081$ .

$168.75375857$