Solve for S5 S_5=(5500(1-1.20^5))/(1-1.20)

$S_{5} = \frac{5500 (1 - {1.2}^{5})}{1 - 1.2}$

Step 1

Simplify the numerator.

Raise $1.2$ to the power of $5$ .

$S_{5} = \frac{5500 (1 - 1 \cdot 2.48832)}{1 - 1.2}$

Multiply $- 1$ by $2.48832$ .

$S_{5} = \frac{5500 (1 - 2.48832)}{1 - 1.2}$

Subtract $2.48832$ from $1$ .

$S_{5} = \frac{5500 \cdot - 1.48832}{1 - 1.2}$

Step 2

Simplify the expression.

Subtract $1.2$ from $1$ .

$S_{5} = \frac{5500 \cdot - 1.48832}{- 0.2}$

Multiply $5500$ by $- 1.48832$ .

$S_{5} = \frac{- 8185.76}{- 0.2}$

Divide $- 8185.76$ by $- 0.2$ .

$S_{5} = 40928.8$