Solve the Problem $S = A \left( \frac { ( 1 + r ) ^ { t } + 1 - 1 } { r } \right)$

Multiple Choice

Solve the problem.
-The formula $S = A \left( \frac { ( 1 + r ) ^ { t } + 1 - 1 } { r } \right)$ models the value of a retirement account, where $A =$ the number of dollars added to the retirement account each year, $\mathrm { r } =$ the annual interest rate, and $\mathrm { S } =$ the value of the retirement account after t years. If the interest rate is $7 \%$ , how much will the account be worth after 15 years if $\$ 800$ is added each year? Round to the nearest whole number.

A) $\$ 22,310$
B) $\$ 2347$
C) $\$ 12,800$
D) $\$ 35,316$