a. You are planning for retirement, and would like to have $1,000,000 in the bank when you turn 65. (Assume that you just barely turned 25). How much should you deposit each month into an account...

a. You are planning for retirement, and would like to have $1,000,000 in the bank when you turn 65. (Assume that you just barely turned 25). How much should you deposit each month into an account earning 6% nominal interest per year, compounded monthly, to reach your goal?   b. How much would you have to deposit each month, if the account earned 12% nominal interest per year, compounded monthly?