Justin purchases a retirement annuity that will pay him $$2,500$ at the end of every six months for the first ten years and $$200$ at the end of every month for the next four years. The annuity earns interest at a rate of $2\mathrm{.}9\%$ compounded quarterly.

a$.$ What was the purchase price of the annuity?

$$0\mathrm{.}00$

Round to the nearest cent

b$.$ How much interest did Justin receive from the annuity?