You have decided that you want to retire in $24$ years when you are $54$ years old You expect that you will live until age $90.$

You want to have $$4,200,000$ in the bank when you retire.

You currently have $$350,000$ in the bank.

Interest rates are $,7\mathrm{.}00\%$ compounding annually

a$)$ How much money do you need to deposit in the bank each year in order to ensure you have $$4,200,000$ when you retire?

b$)$ Assuming that you die at age $90$ as expected, how much money can you spend each year after you retire.