Find the Mean 5 , 0 , 0 , 0(0.005/(1-(1+0.005)^-60))

$5$ , $0$ , $0$ , $0 (\frac{0.005}{1 - {(1 + 0.005)}^{- 60}})$

Step 1

Simplify the denominator.

Add $1$ and $0.005$ .

$5, 0, 0, 0 (\frac{0.005}{1 - {1.005}^{- 60}})$

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

$5, 0, 0, 0 (\frac{0.005}{1 - \frac{1}{{1.005}^{60}}})$

Raise $1.005$ to the power of $60$ .

$5, 0, 0, 0 (\frac{0.005}{1 - \frac{1}{1.34885015}})$

Divide $1$ by $1.34885015$ .

$5, 0, 0, 0 (\frac{0.005}{1 - 1 \cdot 0.74137219})$

Multiply $- 1$ by $0.74137219$ .

$5, 0, 0, 0 (\frac{0.005}{1 - 0.74137219})$

Subtract $0.74137219$ from $1$ .

$5, 0, 0, 0 (\frac{0.005}{0.2586278})$

Step 2

Simplify the expression.

Divide $0.005$ by $0.2586278$ .

$5, 0, 0, 0 \cdot 0.0193328$

Multiply $0$ by $0.0193328$ .

$5, 0, 0, 0$

Step 3

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

$\frac{5 + 0 + 0 + 0}{4}$

Step 4

Simplify the numerator.

Add $5 + 0 + 0$ and $0$ .

$\frac{5 + 0 + 0}{4}$

Add $5 + 0$ and $0$ .

$\frac{5 + 0}{4}$

Add $5$ and $0$ .

$\frac{5}{4}$

Step 5

Divide.

$1.25$

Step 6

The mean should be rounded to one more decimal place than the original data. If the original data were mixed, round to one decimal place more than the least precise.

$1.3$

Find the Mean 5 , 0 , 0 , 0(0.005/(1-(1+0.005)^-60))

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