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You are trying to decide how much to save for retirement. Assume you plan to save $$6,500$ per year with the first investment

made one year from now. You think you can earn $10\%$ per year on your investments and you plan to retire in $34$ years,

immediately after making your last $$6,500$ investment.

ANSWER D AND E ONLY

d$.$ If$,$ instead, you decide to withdraw $$200,000$ per year in retirement $($again with the first withdrawal one year after retiring$),$

how many years will it take until you exhaust your savings?

You will exhaust your savings in

years. $($Round to two decimal places.$)$

e$.$ Assuming the most you can afford to save is $$$$1$ comma $300$ per$$ year, but you want to retire with $$$$1$ comma $000$ comma $000\mathrm{.}00$ in your investment$$ account, how high of a return do you need to earn on your$$ investments?