Finite Math Examples

$800 (\frac{1 - {(1 + 0.09)}^{- 17}}{0.09})$

Step 1

Simplify the numerator.

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Step 1.1

Add $1$ and $0.09$ .

$800 \frac{1 - {1.09}^{- 17}}{0.09}$

Step 1.2

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

$800 \frac{1 - \frac{1}{{1.09}^{17}}}{0.09}$

Step 1.3

Raise $1.09$ to the power of $17$ .

$800 \frac{1 - \frac{1}{4.32763341}}{0.09}$

Step 1.4

Divide $1$ by $4.32763341$ .

$800 \frac{1 - 1 \cdot 0.23107317}{0.09}$

Step 1.5

Multiply $- 1$ by $0.23107317$ .

$800 \frac{1 - 0.23107317}{0.09}$

Step 1.6

Subtract $0.23107317$ from $1$ .

$800 (\frac{0.76892682}{0.09})$

Step 2

Simplify the expression.

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Step 2.1

Divide $0.76892682$ by $0.09$ .

$800 \cdot 8.54363136$

Step 2.2

Multiply $800$ by $8.54363136$ .

$6834.90509543$