can someone explan these problemes?

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from 1 to 6

PROBLEM 1 A 10-year loan of $20,000 is repaid with payments at the end of each year. Each of the first ten payments equals to the 150% of the amount of interest due. Each of the last ten payments is X. The lender charges interest at an annual rate of 10%. Calculate X. PROBLEM 2 A 10-year loan of L $20, 000 can be repaid with payments made at the end of each year. There are two options offered. (1) Level annual payments at an annual effective rate of j = 9%. (2) Installments of $1, 000 each year plus interest on the unpaid balance at an annual effective rate of i. The sum of all payments under the first option equals to the sum of all payments under the second option. Determine i. PROBLEM 3 A loan is amortized over five years with monthly payments at a nominal interest rate of i(12) 9.6% compounded monthly. The first payment is $1, 000 and is to be paid one month from the date of the loan. Each succeeding monthly payment will be 2% lower than the previous payment. Calculate the outstanding loan balance immediately after the 40th payment is made. PROBLEM 4 each applied for a 5 year loan of L $15, 000. The Three friends Arnold, Bruce, and Sylvester - 10, nominal annual interest rate (convertible monthly) for each of them was t (1) Arnold has the interest accumulated over five year and pays all the interest and principal in a lump sum at the end of five years. (2) Bruce pays interest at the end of each quarter as it accrues and pays the principal at the end of five years. (3) Sylvester repays his loan with 60 level payments at the end of each month. Calculate the total amount of interest paid on all three loans. PROBLEM 5 Grace borrows X for five years at an annual effective interest rate of 8%, to be repaid with equal payments at the end of each year. The outstanding balance after four years is B4 = 600. Find the amount of principal repaid in her first payment. PROBLEM 6 Jimmy has a 30 year home loan for L = $200, 000 at a nominal annual rate of i(12) 9%, convertible monthly. (1) Find his monthly payment on the loan. (2) Find the balance on his account after 12 years. (3) Find the amount of interest (140) included into the 40th payment. Page 2 of 3