Finite Math Examples

$\frac{90 ({(1 + \frac{0.06}{12})}^{12 (15)} - 1)}{\frac{0.06}{12}}$

Step 1

Multiply the numerator by the reciprocal of the denominator.

$90 ({(1 + \frac{0.06}{12})}^{12 (15)} - 1) \frac{12}{0.06}$

Step 2

Reduce the expression by cancelling the common factors.

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Step 2.1

Cancel the common factor of $0.06$ .

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Step 2.1.1

Factor $0.06$ out of $90 ({(1 + \frac{0.06}{12})}^{12 (15)} - 1)$ .

$0.06 (1500 ({(1 + \frac{0.06}{12})}^{12 (15)} - 1)) \frac{12}{0.06}$

Step 2.1.2

Cancel the common factor.

$0.06 (1500 ({(1 + \frac{0.06}{12})}^{12 (15)} - 1)) \frac{12}{0.06}$

Step 2.1.3

Rewrite the expression.

$1500 ({(1 + \frac{0.06}{12})}^{12 (15)} - 1) \cdot 12$

Step 2.2

Multiply.

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Step 2.2.1

Multiply $12$ by $15$ .

$1500 ({(1 + \frac{0.06}{12})}^{180} - 1) \cdot 12$

Step 2.2.2

Multiply $12$ by $1500$ .

$18000 ({(1 + \frac{0.06}{12})}^{180} - 1)$

Step 3

Simplify each term.

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Step 3.1

Divide $0.06$ by $12$ .

$18000 ({(1 + 0.005)}^{180} - 1)$

Step 3.2

Add $1$ and $0.005$ .

$18000 ({1.005}^{180} - 1)$

Step 3.3

Raise $1.005$ to the power of $180$ .

$18000 (2.45409356 - 1)$

Step 4

Simplify the expression.

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Step 4.1

Subtract $1$ from $2.45409356$ .

$18000 \cdot 1.45409356$

Step 4.2

Multiply $18000$ by $1.45409356$ .

$26173.68412044$