(Annuity number of periods)Alex Karev has taken out a

$180,000

loan with an annual rate of

11

percent compounded monthly to pay off hospital bills from his wife Izzy's illness. If the most Alex can afford to pay is

$3,500

per month, how long will it take to pay off the loan? How long will it take for him to pay off the loan if he can pay

$4,000

per month? Use five decimal places for the monthly percentage rate in your calculations.