Finite Math Examples

$12000 (\frac{{(1 + 0.08)}^{5 - 1} - 1}{0.08}) - 12000$

Step 1

Simplify each term.

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Step 1.1

Simplify the numerator.

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Step 1.1.1

Add $1$ and $0.08$ .

$12000 \frac{{1.08}^{5 - 1} - 1}{0.08} - 12000$

Step 1.1.2

Subtract $1$ from $5$ .

$12000 \frac{{1.08}^{4} - 1}{0.08} - 12000$

Step 1.1.3

Raise $1.08$ to the power of $4$ .

$12000 \frac{1.36048896 - 1}{0.08} - 12000$

Step 1.1.4

Subtract $1$ from $1.36048896$ .

$12000 (\frac{0.36048896}{0.08}) - 12000$

Step 1.2

Cancel the common factor of $0.08$ .

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Step 1.2.1

Factor $0.08$ out of $12000$ .

$0.08 (150000) \frac{0.36048896}{0.08} - 12000$

Step 1.2.2

Cancel the common factor.

$0.08 \cdot 150000 \frac{0.36048896}{0.08} - 12000$

Step 1.2.3

Rewrite the expression.

$150000 \cdot 0.36048896 - 12000$

Step 1.3

Multiply $150000$ by $0.36048896$ .

$54073.344 - 12000$

Step 2

Subtract $12000$ from $54073.344$ .

$42073.344$