Solution:
Given the amount invested as $11,000 at a rate of 3% compounded monthly for 6 years.
Thus, the compound interest function that model the situation is;
[tex]\begin{gathered} A=11000(1+\frac{0.03}{12})^{12(6)} \\ \\ A=11000(1.0025)^{72} \end{gathered}[/tex]Thus, the balance after 6 years is;
[tex]A=13166.43[/tex]