Finite Math Examples

$v = 509 (\frac{{(1.0025)}^{3 \cdot 12} - 1}{\frac{0.03}{12}})$

Step 1

Remove parentheses.

$v = 509 (\frac{{1.0025}^{3 \cdot 12} - 1}{\frac{0.03}{12}})$

Step 2

Simplify $509 (\frac{{1.0025}^{3 \cdot 12} - 1}{\frac{0.03}{12}})$ .

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Step 2.1

Simplify the numerator.

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Step 2.1.1

Multiply $3$ by $12$ .

$v = 509 \frac{{1.0025}^{36} - 1}{\frac{0.03}{12}}$

Step 2.1.2

Raise $1.0025$ to the power of $36$ .

$v = 509 \frac{1.0940514 - 1}{\frac{0.03}{12}}$

Step 2.1.3

Subtract $1$ from $1.0940514$ .

$v = 509 \frac{0.0940514}{\frac{0.03}{12}}$

Step 2.2

Reduce the expression by cancelling the common factors.

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Step 2.2.1

Divide $0.03$ by $12$ .

$v = 509 (\frac{0.0940514}{0.0025})$

Step 2.2.2

Cancel the common factor of $0.0025$ .

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Step 2.2.2.1

Factor $0.0025$ out of $509$ .

$v = 0.0025 (203600) \frac{0.0940514}{0.0025}$

Step 2.2.2.2

Cancel the common factor.

$v = 0.0025 \cdot 203600 \frac{0.0940514}{0.0025}$

Step 2.2.2.3

Rewrite the expression.

$v = 203600 \cdot 0.0940514$

Step 2.2.3

Multiply $203600$ by $0.0940514$ .

$v = 19148.86519735$