Finite Math Examples

$s = 50 (\frac{{(1 + \frac{0.011}{4})}^{4 (9)} - 1}{\frac{0.011}{4}})$

Step 1

Multiply $50$ by $\frac{{(1 + \frac{0.011}{4})}^{4 (9)} - 1}{\frac{0.011}{4}}$ .

$s = 50 (\frac{{(1 + \frac{0.011}{4})}^{4 (9)} - 1}{\frac{0.011}{4}})$

Step 2

Simplify $50 (\frac{{(1 + \frac{0.011}{4})}^{4 (9)} - 1}{\frac{0.011}{4}})$ .

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Step 2.1

Simplify the numerator.

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Step 2.1.1

Divide $0.011$ by $4$ .

$s = 50 \frac{{(1 + 0.00275)}^{4 (9)} - 1}{\frac{0.011}{4}}$

Step 2.1.2

Add $1$ and $0.00275$ .

$s = 50 \frac{{1.00275}^{4 (9)} - 1}{\frac{0.011}{4}}$

Step 2.1.3

Multiply $4$ by $9$ .

$s = 50 \frac{{1.00275}^{36} - 1}{\frac{0.011}{4}}$

Step 2.1.4

Raise $1.00275$ to the power of $36$ .

$s = 50 \frac{1.10391629 - 1}{\frac{0.011}{4}}$

Step 2.1.5

Subtract $1$ from $1.10391629$ .

$s = 50 \frac{0.10391629}{\frac{0.011}{4}}$

Step 2.2

Simplify the expression.

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Step 2.2.1

Divide $0.011$ by $4$ .

$s = 50 (\frac{0.10391629}{0.00275})$

Step 2.2.2

Divide $0.10391629$ by $0.00275$ .

$s = 50 \cdot 37.78774316$

Step 2.2.3

Multiply $50$ by $37.78774316$ .

$s = 1889.38715803$