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, $r =$ the annual interest rate, and $\mathrm { S } =$ the value of the retirement iccount after t years. If the interest rate is $6 \%$ , how much will the account be worth after 10 years if $\$ 1600$ is added each year? Round to the nearest whole number.

A) $\$ 23,955$
B) $\$ 31,519$
C) $\$ 3021$
D) $\$ 17,600$