Lee Chiew is borrowing \($170\),000 from Asia Bank USA to open Asian Health Foods in Virginia. She agrees to repay the loan at 10 percent compounded annually. Since she expects it to take a few years to be consistently making more than her expenses, she has arranged for minimal ‘‘good faith’’ payments of \($10\),000 at the end of each of the first 4 years. Beginning with the fifth year’s payment, she will increase the amount from \($10\),000 to \($10\),000 + X, then pay \($10\),000 + 2X at year 6, continuing to increase by X each year until the loan is paid in full at the end of year 9.

a. How much is $X?

b. What is the dollar amount of the last payment?

c. Each payment consists of principal plus interest. The total principal paid will be \($170\),000. How much total interest is included in the payments Lee Chiew will make?