Finite Math Examples

$263$ , $\frac{0 (\frac{0.045}{12})}{1 - {(\frac{0.045}{12})}^{- 12 \cdot 30}}$

Step 1

Multiply $0$ by $\frac{0.045}{12}$ .

$263, \frac{0}{1 - {(\frac{0.045}{12})}^{- 12 \cdot 30}}$

Step 2

Simplify the denominator.

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Step 2.1

Divide $0.045$ by $12$ .

$263, \frac{0}{1 - {0.00375}^{- 12 \cdot 30}}$

Step 2.2

Multiply $- 12$ by $30$ .

$263, \frac{0}{1 - {0.00375}^{- 360}}$

Step 2.3

Rewrite the expression using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$263, \frac{0}{1 - \frac{1}{{0.00375}^{360}}}$

Step 2.4

Write $1$ as a fraction with a common denominator.

$263, \frac{0}{\frac{{0.00375}^{360}}{{0.00375}^{360}} - \frac{1}{{0.00375}^{360}}}$

Step 2.5

Combine the numerators over the common denominator.

$263, \frac{0}{\frac{{0.00375}^{360} - 1}{{0.00375}^{360}}}$

Step 3

Multiply the numerator by the reciprocal of the denominator.

$263, 0 (\frac{{0.00375}^{360}}{{0.00375}^{360} - 1})$

Step 4

Multiply $0$ by $\frac{{0.00375}^{360}}{{0.00375}^{360} - 1}$ .

$263, 0$

Step 5

The mean of a set of numbers is the sum divided by the number of terms.

$\frac{263 + 0}{2}$

Step 6

Add $263$ and $0$ .

$\frac{263}{2}$

Step 7

Divide.

$131.5$