You are saving to buy a $$275,000$ house. There are two competing banks in your area, both offering certificates of deposit yielding $4\mathrm{.}8$ percent.

How long will it take your initial $$90,000$ investment to reach the desired level at First Bank, which pays simple interest?

Note: Do not round intermediate calculations and round your answer to $2$ decimal places, e$.$g$.,32\mathrm{.}16.$

How long will it take your initial $$90,000$ investment to reach the desired level at Second Bank, which compounds interest monthly?