Cameron is saving for his retirement $20$ years from now by setting up a savings plan. He has set up a savings plan wherein he will deposit $ $106\mathrm{.}00$ at the end of every three months for the next $15$ years. Interest is $5\%$ compounded quarterly. $($a$)$ How much money will be in his account on the date of his$$ retirement? $($b$)$ How much will Cameron $$contribute$?($c$)$ How much will be$$ interest?