Finite Math Examples

$\frac{105000 \cdot 0.075}{1 - {(1.075)}^{- 8}}$

Step 1

Multiply $105000$ by $0.075$ .

$\frac{7875}{1 - {1.075}^{- 8}}$

Step 2

Simplify the denominator.

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Step 2.1

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

$\frac{7875}{1 - \frac{1}{{1.075}^{8}}}$

Step 2.2

Raise $1.075$ to the power of $8$ .

$\frac{7875}{1 - \frac{1}{1.78347782}}$

Step 2.3

Divide $1$ by $1.78347782$ .

$\frac{7875}{1 - 1 \cdot 0.56070223}$

Step 2.4

Multiply $- 1$ by $0.56070223$ .

$\frac{7875}{1 - 0.56070223}$

Step 2.5

Subtract $0.56070223$ from $1$ .

$\frac{7875}{0.43929776}$

Step 3

Divide $7875$ by $0.43929776$ .

$17926.33743811$