Finite Math Examples

$500 \cdot (\frac{{(1 + \frac{0.084}{12})}^{12 \cdot 35} - 1}{\frac{0.084}{12}})$

Step 1

Simplify the numerator.

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Step 1.1

Divide $0.084$ by $12$ .

$500 \cdot \frac{{(1 + 0.007)}^{12 \cdot 35} - 1}{\frac{0.084}{12}}$

Step 1.2

Add $1$ and $0.007$ .

$500 \cdot \frac{{1.007}^{12 \cdot 35} - 1}{\frac{0.084}{12}}$

Step 1.3

Multiply $12$ by $35$ .

$500 \cdot \frac{{1.007}^{420} - 1}{\frac{0.084}{12}}$

Step 1.4

Raise $1.007$ to the power of $420$ .

$500 \cdot \frac{18.72309463 - 1}{\frac{0.084}{12}}$

Step 1.5

Subtract $1$ from $18.72309463$ .

$500 \cdot \frac{17.72309463}{\frac{0.084}{12}}$

Step 2

Simplify the expression.

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Step 2.1

Divide $0.084$ by $12$ .

$500 \cdot \frac{17.72309463}{0.007}$

Step 2.2

Divide $17.72309463$ by $0.007$ .

$500 \cdot 2531.87066271$

Step 2.3

Multiply $500$ by $2531.87066271$ .

$1265935.3313561$