Finite Math Examples

$\frac{133000 (\frac{0.09}{12})}{1 - {(1 + \frac{0.09}{12})}^{- 12 \cdot 30}}$

Step 1

Combine $133000$ and $\frac{0.09}{12}$ .

$\frac{\frac{133000 \cdot 0.09}{12}}{1 - {(1 + \frac{0.09}{12})}^{- 12 \cdot 30}}$

Step 2

Simplify the denominator.

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Step 2.1

Divide $0.09$ by $12$ .

$\frac{\frac{133000 \cdot 0.09}{12}}{1 - {(1 + 0.0075)}^{- 12 \cdot 30}}$

Step 2.2

Add $1$ and $0.0075$ .

$\frac{\frac{133000 \cdot 0.09}{12}}{1 - {1.0075}^{- 12 \cdot 30}}$

Step 2.3

Multiply $- 12$ by $30$ .

$\frac{\frac{133000 \cdot 0.09}{12}}{1 - {1.0075}^{- 360}}$

Step 2.4

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

$\frac{\frac{133000 \cdot 0.09}{12}}{1 - \frac{1}{{1.0075}^{360}}}$

Step 2.5

Raise $1.0075$ to the power of $360$ .

$\frac{\frac{133000 \cdot 0.09}{12}}{1 - \frac{1}{14.73057612}}$

Step 2.6

Divide $1$ by $14.73057612$ .

$\frac{\frac{133000 \cdot 0.09}{12}}{1 - 1 \cdot 0.067886}$

Step 2.7

Multiply $- 1$ by $0.067886$ .

$\frac{\frac{133000 \cdot 0.09}{12}}{1 - 0.067886}$

Step 2.8

Subtract $0.067886$ from $1$ .

$\frac{\frac{133000 \cdot 0.09}{12}}{0.93211399}$

Step 3

Reduce the expression by cancelling the common factors.

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Step 3.1

Multiply $133000$ by $0.09$ .

$\frac{\frac{11970}{12}}{0.93211399}$

Step 3.2

Cancel the common factor of $11970$ and $12$ .

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Step 3.2.1

Factor $6$ out of $11970$ .

$\frac{\frac{6 (1995)}{12}}{0.93211399}$

Step 3.2.2

Cancel the common factors.

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Step 3.2.2.1

Factor $6$ out of $12$ .

$\frac{\frac{6 \cdot 1995}{6 \cdot 2}}{0.93211399}$

Step 3.2.2.2

Cancel the common factor.

$\frac{\frac{6 \cdot 1995}{6 \cdot 2}}{0.93211399}$

Step 3.2.2.3

Rewrite the expression.

$\frac{\frac{1995}{2}}{0.93211399}$

Step 4

Multiply the numerator by the reciprocal of the denominator.

$\frac{1995}{2} \cdot \frac{1}{0.93211399}$

Step 5

Divide $1$ by $0.93211399$ .

$\frac{1995}{2} \cdot 1.07283015$

Step 6

Multiply $\frac{1995}{2} \cdot 1.07283015$ .

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Step 6.1

Combine $\frac{1995}{2}$ and $1.07283015$ .

$\frac{1995 \cdot 1.07283015}{2}$

Step 6.2

Multiply $1995$ by $1.07283015$ .

$\frac{2140.29616107}{2}$

Step 7

Divide $2140.29616107$ by $2$ .

$1070.14808053$