Finite Math Examples

$\frac{140000 (\frac{0.09}{12})}{1 - {(1 + \frac{0.09}{12})}^{- 180}}$

Step 1

Combine $140000$ and $\frac{0.09}{12}$ .

$\frac{\frac{140000 \cdot 0.09}{12}}{1 - {(1 + \frac{0.09}{12})}^{- 180}}$

Step 2

Simplify the denominator.

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Step 2.1

Divide $0.09$ by $12$ .

$\frac{\frac{140000 \cdot 0.09}{12}}{1 - {(1 + 0.0075)}^{- 180}}$

Step 2.2

Add $1$ and $0.0075$ .

$\frac{\frac{140000 \cdot 0.09}{12}}{1 - {1.0075}^{- 180}}$

Step 2.3

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

$\frac{\frac{140000 \cdot 0.09}{12}}{1 - \frac{1}{{1.0075}^{180}}}$

Step 2.4

Raise $1.0075$ to the power of $180$ .

$\frac{\frac{140000 \cdot 0.09}{12}}{1 - \frac{1}{3.83804326}}$

Step 2.5

Divide $1$ by $3.83804326$ .

$\frac{\frac{140000 \cdot 0.09}{12}}{1 - 1 \cdot 0.26054943}$

Step 2.6

Multiply $- 1$ by $0.26054943$ .

$\frac{\frac{140000 \cdot 0.09}{12}}{1 - 0.26054943}$

Step 2.7

Subtract $0.26054943$ from $1$ .

$\frac{\frac{140000 \cdot 0.09}{12}}{0.73945056}$

Step 3

Simplify the expression.

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Step 3.1

Multiply $140000$ by $0.09$ .

$\frac{\frac{12600}{12}}{0.73945056}$

Step 3.2

Divide $12600$ by $12$ .

$\frac{1050}{0.73945056}$

Step 3.3

Divide $1050$ by $0.73945056$ .

$1419.97321782$