Finite Math Examples

$\frac{344 (1 - {(1 + 0.004)}^{- 36})}{0.004}$

Step 1

Simplify the numerator.

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Step 1.1

Add $1$ and $0.004$ .

$\frac{344 (1 - {1.004}^{- 36})}{0.004}$

Step 1.2

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

$\frac{344 (1 - \frac{1}{{1.004}^{36}})}{0.004}$

Step 1.3

Raise $1.004$ to the power of $36$ .

$\frac{344 (1 - \frac{1}{1.15455243})}{0.004}$

Step 1.4

Divide $1$ by $1.15455243$ .

$\frac{344 (1 - 1 \cdot 0.86613649)}{0.004}$

Step 1.5

Multiply $- 1$ by $0.86613649$ .

$\frac{344 (1 - 0.86613649)}{0.004}$

Step 1.6

Subtract $0.86613649$ from $1$ .

$\frac{344 \cdot 0.1338635}{0.004}$

Step 2

Simplify the expression.

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Step 2.1

Multiply $344$ by $0.1338635$ .

$\frac{46.04904522}{0.004}$

Step 2.2

Divide $46.04904522$ by $0.004$ .

$11512.26130613$