Finite Math Examples

$p = \frac{600 (1 - {(1.01)}^{- 25})}{0.01}$

Step 1

Remove parentheses.

$p = \frac{600 (1 - {1.01}^{- 25})}{0.01}$

Step 2

Simplify $\frac{600 (1 - {1.01}^{- 25})}{0.01}$ .

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Step 2.1

Simplify the numerator.

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Step 2.1.1

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

$p = \frac{600 (1 - \frac{1}{{1.01}^{25}})}{0.01}$

Step 2.1.2

Raise $1.01$ to the power of $25$ .

$p = \frac{600 (1 - \frac{1}{1.28243199})}{0.01}$

Step 2.1.3

Divide $1$ by $1.28243199$ .

$p = \frac{600 (1 - 1 \cdot 0.77976844)}{0.01}$

Step 2.1.4

Multiply $- 1$ by $0.77976844$ .

$p = \frac{600 (1 - 0.77976844)}{0.01}$

Step 2.1.5

Subtract $0.77976844$ from $1$ .

$p = \frac{600 \cdot 0.22023155}{0.01}$

Step 2.2

Simplify the expression.

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Step 2.2.1

Multiply $600$ by $0.22023155$ .

$p = \frac{132.1389342}{0.01}$

Step 2.2.2

Divide $132.1389342$ by $0.01$ .

$p = 13213.89342037$