a. Annuity interest rate You've been offered a loan of 25000, which you will have to repay in 5 equal annual payments of 8000 with the first payment due one year from now. What interest rate would you pay on that loan?

b. Alex Karev has taken out a $180000 loan with an annual rate of 9% compounded monthly to pay off hospital bills from his wife Izzys illness. If the most alex can afford to pay is $3500 per month, how long will take to pay off the loan? how long will it take for him to pay off the loan if he can pay $4000 per month? Use five decimal places for the monthly percentage rate in your calculations.

c. Mr. Bill S. Preston, Esq, purchased a new house for 90,000. He paid $25,000 upfront and agreed to pay the rest over the next 15 years in 15 equal annual payments that include principal payments plus 12% compound interest on the unpaid balance. What will these equal payments be ?

d. You plan to retire in 9 years and buy a house in Oviedo, Florida. The house you are looking at currently costs $90,000 and is expected to increase in value each year at a rate of 6%. Assuming you can earn 12% annually on your investments, how much must you invest at the end of each of the next 9 years to be able to buy your dream home when you retire?

e. Alex Karev has taken out a $180,000 loan with an annual rate of 9% compounded monthly to pay off hospital bills from his wife Izzy's illness. If the most Alex can afford to pay is $3500 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 $4000 per month? Use five decimal places for the monthly percentage rate in your calculations.