Finite Math Examples

$\frac{174400 (\frac{0.03}{12})}{1 - {(1 + \frac{0.03}{12})}^{- 12 \cdot 30}}$

Step 1

Combine $174400$ and $\frac{0.03}{12}$ .

$\frac{\frac{174400 \cdot 0.03}{12}}{1 - {(1 + \frac{0.03}{12})}^{- 12 \cdot 30}}$

Step 2

Simplify the denominator.

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Step 2.1

Divide $0.03$ by $12$ .

$\frac{\frac{174400 \cdot 0.03}{12}}{1 - {(1 + 0.0025)}^{- 12 \cdot 30}}$

Step 2.2

Add $1$ and $0.0025$ .

$\frac{\frac{174400 \cdot 0.03}{12}}{1 - {1.0025}^{- 12 \cdot 30}}$

Step 2.3

Multiply $- 12$ by $30$ .

$\frac{\frac{174400 \cdot 0.03}{12}}{1 - {1.0025}^{- 360}}$

Step 2.4

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

$\frac{\frac{174400 \cdot 0.03}{12}}{1 - \frac{1}{{1.0025}^{360}}}$

Step 2.5

Raise $1.0025$ to the power of $360$ .

$\frac{\frac{174400 \cdot 0.03}{12}}{1 - \frac{1}{2.45684221}}$

Step 2.6

Divide $1$ by $2.45684221$ .

$\frac{\frac{174400 \cdot 0.03}{12}}{1 - 1 \cdot 0.40702654}$

Step 2.7

Multiply $- 1$ by $0.40702654$ .

$\frac{\frac{174400 \cdot 0.03}{12}}{1 - 0.40702654}$

Step 2.8

Subtract $0.40702654$ from $1$ .

$\frac{\frac{174400 \cdot 0.03}{12}}{0.59297345}$

Step 3

Simplify the expression.

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Step 3.1

Multiply $174400$ by $0.03$ .

$\frac{\frac{5232}{12}}{0.59297345}$

Step 3.2

Divide $5232$ by $12$ .

$\frac{436}{0.59297345}$

Step 3.3

Divide $436$ by $0.59297345$ .

$735.27743482$