Finite Math Examples

$s = 11000 (\frac{{(1 + 0.025)}^{12} - 1}{0.025})$

Step 1

Multiply $11000$ by $\frac{{(1 + 0.025)}^{12} - 1}{0.025}$ .

$s = 11000 (\frac{{(1 + 0.025)}^{12} - 1}{0.025})$

Step 2

Simplify $11000 (\frac{{(1 + 0.025)}^{12} - 1}{0.025})$ .

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Step 2.1

Simplify the numerator.

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Step 2.1.1

Add $1$ and $0.025$ .

$s = 11000 \frac{{1.025}^{12} - 1}{0.025}$

Step 2.1.2

Raise $1.025$ to the power of $12$ .

$s = 11000 \frac{1.34488882 - 1}{0.025}$

Step 2.1.3

Subtract $1$ from $1.34488882$ .

$s = 11000 (\frac{0.34488882}{0.025})$

Step 2.2

Reduce the expression by cancelling the common factors.

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Step 2.2.1

Cancel the common factor of $0.025$ .

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Step 2.2.1.1

Factor $0.025$ out of $11000$ .

$s = 0.025 (440000) \frac{0.34488882}{0.025}$

Step 2.2.1.2

Cancel the common factor.

$s = 0.025 \cdot 440000 \frac{0.34488882}{0.025}$

Step 2.2.1.3

Rewrite the expression.

$s = 440000 \cdot 0.34488882$

Step 2.2.2

Multiply $440000$ by $0.34488882$ .

$s = 151751.08266837$