This question requires us to find the future sum of an amount compounded annually at 6.6%.
The formula for the compounded sum is:
![F=P(1+i)^n](https://img.qammunity.org/2023/formulas/mathematics/high-school/woq0gyjxj76vwgtsgdjx901t3us2w8m6lx.png)
Where:
F = Future sum after compounding
P = Principal / Present sum
i = interest rate
n = time (in years)
Therefore, we have:
![F=586(1+0.066)^(11)=1183.66](https://img.qammunity.org/2023/formulas/mathematics/high-school/wz9vbdl1hki9zkp3d9soy1kmef6adtewcv.png)
$1,183.66 is the amount in the account in 11 years