Finite Math Examples

$\frac{30 ({(1 + \frac{0.055}{12})}^{12 \cdot 37} - 1)}{\frac{0.055}{12}}$

Step 1

Multiply the numerator by the reciprocal of the denominator.

$30 ({(1 + \frac{0.055}{12})}^{12 \cdot 37} - 1) \frac{12}{0.055}$

Step 2

Simplify each term.

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Step 2.1

Divide $0.055$ by $12$ .

$30 ({(1 + 0.00458\overline{3})}^{12 \cdot 37} - 1) \frac{12}{0.055}$

Step 2.2

Add $1$ and $0.00458\overline{3}$ .

$30 ({1.00458\overline{3}}^{12 \cdot 37} - 1) \frac{12}{0.055}$

Step 2.3

Multiply $12$ by $37$ .

$30 ({1.00458\overline{3}}^{444} - 1) \frac{12}{0.055}$

Step 2.4

Raise $1.00458\overline{3}$ to the power of $444$ .

$30 (7.61675677 - 1) \frac{12}{0.055}$

Step 3

Simplify the expression.

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Step 3.1

Subtract $1$ from $7.61675677$ .

$30 \cdot 6.61675677 \frac{12}{0.055}$

Step 3.2

Multiply $30$ by $6.61675677$ .

$198.5027033 (\frac{12}{0.055})$

Step 3.3

Divide $12$ by $0.055$ .

$198.5027033 \cdot 218.\overline{18}$

Step 3.4

Multiply $198.5027033$ by $218.\overline{18}$ .

$43309.68072014$