Finite Math Examples

$500 (\frac{1 - {(1 + 0.0075)}^{- 24}}{0.0075})$

Step 1

Simplify the numerator.

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Step 1.1

Add $1$ and $0.0075$ .

$500 \frac{1 - {1.0075}^{- 24}}{0.0075}$

Step 1.2

Rewrite the expression using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$500 \frac{1 - \frac{1}{{1.0075}^{24}}}{0.0075}$

Step 1.3

Raise $1.0075$ to the power of $24$ .

$500 \frac{1 - \frac{1}{1.19641352}}{0.0075}$

Step 1.4

Divide $1$ by $1.19641352$ .

$500 \frac{1 - 1 \cdot 0.8358314}{0.0075}$

Step 1.5

Multiply $- 1$ by $0.8358314$ .

$500 \frac{1 - 0.8358314}{0.0075}$

Step 1.6

Subtract $0.8358314$ from $1$ .

$500 (\frac{0.16416859}{0.0075})$

Step 2

Simplify the expression.

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Step 2.1

Divide $0.16416859$ by $0.0075$ .

$500 \cdot 21.88914613$

Step 2.2

Multiply $500$ by $21.88914613$ .

$10944.57306871$