acqueline deposited $$24,500$ into a fund at the beginning of every quarter for $11$ years. She then stopped making deposits into the fund and allowed the investment to grow for $3$ more years. The fund was growing at $5\mathrm{.}24\%$ compounded monthly.

a$.$ What was the accumulated value of the fund at the end of year $11?$

Round to the nearest cent

b$.$ What was the accumulated value of the fund at the end of year $14?$

Round to the nearest cent

c$.$ What is the total amount of interest earned over the $14-$year period?

Round to the nearest cent