I will invest $$500$ per quarter for my retirement at $7\mathrm{.}3\%$ compounding quarterly for $32$ years. I have a choice of making that payment of $$500$ at the beginning or the end of the quarter $($regular annuity or annuity due$).$ In which account will I have more money and by how much? Which account will earn the most interest and by how much?

Betty deposits $$2000$ annually into a Roth IRA that earns $6\mathrm{.}85\%$ compounded annually. Due to a change in employment, these deposits stop after $10$ years, but the account continues to earn interest until Betty retires $25$ years after the last deposit is made. How much is in the account when Betty retires? $($$$143,785\mathrm{.}10)$

Al Bundy says he paid $$25,000$ down on a new house and will pay $$525$ per month for $30$ years. If interest is $7\mathrm{.}8\%$ compounded monthly, what was the selling price of the house?