Finite Math Examples

$\frac{3000 ({(1 + \frac{0.035}{12})}^{12 \cdot 3} - 1)}{\frac{0.055}{12}}$

Step 1

Multiply the numerator by the reciprocal of the denominator.

$3000 ({(1 + \frac{0.035}{12})}^{12 \cdot 3} - 1) \frac{12}{0.055}$

Step 2

Simplify each term.

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Step 2.1

Divide $0.035$ by $12$ .

$3000 ({(1 + 0.00291\overline{6})}^{12 \cdot 3} - 1) \frac{12}{0.055}$

Step 2.2

Add $1$ and $0.00291\overline{6}$ .

$3000 ({1.00291\overline{6}}^{12 \cdot 3} - 1) \frac{12}{0.055}$

Step 2.3

Multiply $12$ by $3$ .

$3000 ({1.00291\overline{6}}^{36} - 1) \frac{12}{0.055}$

Step 2.4

Raise $1.00291\overline{6}$ to the power of $36$ .

$3000 (1.11054087 - 1) \frac{12}{0.055}$

Step 3

Simplify the expression.

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Step 3.1

Subtract $1$ from $1.11054087$ .

$3000 \cdot 0.11054087 \frac{12}{0.055}$

Step 3.2

Multiply $3000$ by $0.11054087$ .

$331.62262724 (\frac{12}{0.055})$

Step 3.3

Divide $12$ by $0.055$ .

$331.62262724 \cdot 218.\overline{18}$

Step 3.4

Multiply $331.62262724$ by $218.\overline{18}$ .

$72354.02776268$