has paid $$$$15$ comma $000$ for a retirement annuity from which he will receive $ $1$ comma $594$ at the end of every six months. The payments are deferred for $11$ years and interest is $6\%$ compounded semi dash annually.

$($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?