Glenn has made contributions of$$ $$250$ at the end of every three months into an RRSP for $10$ years. Interest for the first $10$ years was$4\%$ compounded quarterly.

$($a$)$ What is the amount in the RRSP after the first $10$ years?

$($b$)$ After the first $10$ years, Glenn stopped making contributions. The interest rate changed to$5\%$ compounded monthly. How much will Glenn have in his RRSP three years after the last$$ contribution?

$($c$)$ Suppose Glenn then decides to withdraw the money from his RRSP$.$ How much will he be able to withdraw in monthly amounts over the next $10$ years?