Finite Math Examples

$\frac{0.05}{1 - {(1 + 0.05)}^{- 2}} \cdot (20000)$

Step 1

Simplify the denominator.

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Step 1.1

Add $1$ and $0.05$ .

$\frac{0.05}{1 - {1.05}^{- 2}} \cdot 20000$

Step 1.2

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

$\frac{0.05}{1 - \frac{1}{{1.05}^{2}}} \cdot 20000$

Step 1.3

Raise $1.05$ to the power of $2$ .

$\frac{0.05}{1 - \frac{1}{1.1025}} \cdot 20000$

Step 1.4

Divide $1$ by $1.1025$ .

$\frac{0.05}{1 - 1 \cdot 0.90702947} \cdot 20000$

Step 1.5

Multiply $- 1$ by $0.90702947$ .

$\frac{0.05}{1 - 0.90702947} \cdot 20000$

Step 1.6

Subtract $0.90702947$ from $1$ .

$\frac{0.05}{0.09297052} \cdot 20000$

Step 2

Simplify terms.

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Step 2.1

Cancel the common factor of $0.05$ .

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Step 2.1.1

Cancel the common factor.

$\frac{0.05}{0.09297052} \cdot 20000$

Step 2.1.2

Rewrite the expression.

$\frac{1}{0.09297052} \cdot \frac{20000}{20}$

Step 2.2

Multiply $\frac{1}{0.09297052}$ by $\frac{20000}{20}$ .

$\frac{20000}{0.09297052 \cdot 20}$

Step 2.3

Simplify the expression.

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Step 2.3.1

Multiply $0.09297052$ by $20$ .

$\frac{20000}{1.85941043}$

Step 2.3.2

Divide $20000$ by $1.85941043$ .

$10756.\overline{09756}$