Solve the Problem $$\mathrm { a } _ { \mathrm { n } } = 11,000 \left( 1 + \frac { 0.08 } { 4 } \right) ^ { \mathrm { n } } , \mathrm { n } = 1,2,3 , \ldots$$

Multiple Choice

Solve the problem.
-A deposit of $11,000 is made in an account that earns 8% interest compounded quarterly. The balance in the account after n quarters is given by the sequence $$\mathrm { a } _ { \mathrm { n } } = 11,000 \left( 1 + \frac { 0.08 } { 4 } \right) ^ { \mathrm { n } } , \mathrm { n } = 1,2,3 , \ldots$$
Find the balance in the account after 4 years.

A) $\$ 15,100.64$
B) $\$ 5491.14$
C) $\$ 11,906.75$
D) $\$ 4257.14$