Finite Math Examples

$r = (\frac{6800 (0.013)}{1 - {(1.013)}^{- 6}})$

Step 1

Remove parentheses.

$r = \frac{6800 (0.013)}{1 - {(1.013)}^{- 6}}$

Step 2

Remove parentheses.

$r = \frac{6800 (0.013)}{1 - {1.013}^{- 6}}$

Step 3

Remove parentheses.

$r = \frac{6800 (0.013)}{1 - {(1.013)}^{- 6}}$

Step 4

Simplify $\frac{6800 (0.013)}{1 - {(1.013)}^{- 6}}$ .

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Step 4.1

Multiply $6800$ by $0.013$ .

$r = \frac{88.4}{1 - {1.013}^{- 6}}$

Step 4.2

Simplify the denominator.

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Step 4.2.1

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

$r = \frac{88.4}{1 - \frac{1}{{1.013}^{6}}}$

Step 4.2.2

Raise $1.013$ to the power of $6$ .

$r = \frac{88.4}{1 - \frac{1}{1.08057937}}$

Step 4.2.3

Divide $1$ by $1.08057937$ .

$r = \frac{88.4}{1 - 1 \cdot 0.92542947}$

Step 4.2.4

Multiply $- 1$ by $0.92542947$ .

$r = \frac{88.4}{1 - 0.92542947}$

Step 4.2.5

Subtract $0.92542947$ from $1$ .

$r = \frac{88.4}{0.07457052}$

Step 4.3

Divide $88.4$ by $0.07457052$ .

$r = 1185.4549818$