Finite Math Examples

$\frac{4500 ({(1 + \frac{0.06}{12})}^{12 \cdot 3})}{\frac{0.06}{12}}$

Step 1

Multiply the numerator by the reciprocal of the denominator.

$4500 {(1 + \frac{0.06}{12})}^{12 \cdot 3} \frac{12}{0.06}$

Step 2

Cancel the common factor of $0.06$ .

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Step 2.1

Factor $0.06$ out of $4500 {(1 + \frac{0.06}{12})}^{12 \cdot 3}$ .

$0.06 (75000 {(1 + \frac{0.06}{12})}^{12 \cdot 3}) \frac{12}{0.06}$

Step 2.2

Cancel the common factor.

$0.06 (75000 {(1 + \frac{0.06}{12})}^{12 \cdot 3}) \frac{12}{0.06}$

Step 2.3

Rewrite the expression.

$75000 {(1 + \frac{0.06}{12})}^{12 \cdot 3} \cdot 12$

Step 3

Simplify the expression.

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Step 3.1

Multiply $12$ by $3$ .

$75000 {(1 + \frac{0.06}{12})}^{36} \cdot 12$

Step 3.2

Multiply $12$ by $75000$ .

$900000 {(1 + \frac{0.06}{12})}^{36}$

Step 3.3

Divide $0.06$ by $12$ .

$900000 {(1 + 0.005)}^{36}$

Step 3.4

Add $1$ and $0.005$ .

$900000 \cdot {1.005}^{36}$

Step 3.5

Raise $1.005$ to the power of $36$ .

$900000 \cdot 1.19668052$

Step 3.6

Multiply $900000$ by $1.19668052$ .

$1077012.47234106$