Finite Math Examples

$\frac{201 (1 - {(1 + 0.44)}^{- 30})}{0.044}$

Step 1

Simplify the numerator.

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Step 1.1

Add $1$ and $0.44$ .

$\frac{201 (1 - {1.44}^{- 30})}{0.044}$

Step 1.2

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

$\frac{201 (1 - \frac{1}{{1.44}^{30}})}{0.044}$

Step 1.3

Raise $1.44$ to the power of $30$ .

$\frac{201 (1 - \frac{1}{56347.51435316})}{0.044}$

Step 1.4

Divide $1$ by $56347.51435316$ .

$\frac{201 (1 - 1 \cdot 0.00001774)}{0.044}$

Step 1.5

Multiply $- 1$ by $0.00001774$ .

$\frac{201 (1 - 0.00001774)}{0.044}$

Step 1.6

Subtract $0.00001774$ from $1$ .

$\frac{201 \cdot 0.99998225}{0.044}$

Step 2

Simplify the expression.

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Step 2.1

Multiply $201$ by $0.99998225$ .

$\frac{200.99643285}{0.044}$

Step 2.2

Divide $200.99643285$ by $0.044$ .

$4568.1007466$