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

Add $5$ and $1$ .

$12000 \frac{{1.08}^{6} - 1}{0.08} - 12000$

Step 1.1.3

Raise $1.08$ to the power of $6$ .

$12000 \frac{1.58687432 - 1}{0.08} - 12000$

Step 1.1.4

Subtract $1$ from $1.58687432$ .

$12000 (\frac{0.58687432}{0.08}) - 12000$

Step 1.2

Cancel the common factor of $0.08$ .

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Step 1.2.1

Factor $0.08$ out of $12000$ .

$0.08 (150000) \frac{0.58687432}{0.08} - 12000$

Step 1.2.2

Cancel the common factor.

$0.08 \cdot 150000 \frac{0.58687432}{0.08} - 12000$

Step 1.2.3

Rewrite the expression.

$150000 \cdot 0.58687432 - 12000$

Step 1.3

Multiply $150000$ by $0.58687432$ .

$88031.1484416 - 12000$

Step 2

Subtract $12000$ from $88031.1484416$ .

$76031.1484416$