Seamus has paid $$$$19,000$ for a retirement annuity from which he will receive $$2,043$ at the end of every three months. The payments are deferred for $15$ years and interest is $7\%$ compounded quarterly.

$($a$)$ How many payments will Seamus $$receive$?$

$($b$)$ What is the size of the final$$ payment?

$($c$)$ How much will Seamus receive in$$ total?

$($d$)$ How much of what he receives will be$$ interest? pls calculate each part for me