Finite Math Examples

$s = 500 (\frac{{(1 + 0.0125)}^{24} - 1}{0.0125})$

Step 1

Multiply $500$ by $\frac{{(1 + 0.0125)}^{24} - 1}{0.0125}$ .

$s = 500 (\frac{{(1 + 0.0125)}^{24} - 1}{0.0125})$

Step 2

Simplify $500 (\frac{{(1 + 0.0125)}^{24} - 1}{0.0125})$ .

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Step 2.1

Simplify the numerator.

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Step 2.1.1

Add $1$ and $0.0125$ .

$s = 500 \frac{{1.0125}^{24} - 1}{0.0125}$

Step 2.1.2

Raise $1.0125$ to the power of $24$ .

$s = 500 \frac{1.34735105 - 1}{0.0125}$

Step 2.1.3

Subtract $1$ from $1.34735105$ .

$s = 500 (\frac{0.34735105}{0.0125})$

Step 2.2

Reduce the expression by cancelling the common factors.

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Step 2.2.1

Cancel the common factor of $0.0125$ .

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Step 2.2.1.1

Factor $0.0125$ out of $500$ .

$s = 0.0125 (40000) \frac{0.34735105}{0.0125}$

Step 2.2.1.2

Cancel the common factor.

$s = 0.0125 \cdot 40000 \frac{0.34735105}{0.0125}$

Step 2.2.1.3

Rewrite the expression.

$s = 40000 \cdot 0.34735105$

Step 2.2.2

Multiply $40000$ by $0.34735105$ .

$s = 13894.04201657$