Anika deposited $$28,000$ into a fund at the beginning of every quarter for $12$ years. He then stopped making deposits into the fund and allowed the investment to grow for $4$ more years. The fund was growing at $5\mathrm{.}52\%$ compounded monthly.

a$.$ What was the accumulated value of the fund at the end of year $12?$

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Round to the nearest cent

b$.$ What was the accumulated value of the fund at the end of year $16?$

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Round to the nearest cent

c$.$ What is the total amount of interest earned over the $16-$year period?

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Round to the nearest cent