Ryan takes out a loan of 100,000 and agrees to repay it over 10 years using the sinking fund method. Ryan agrees to pay interest to the lender at the end of each year. The interest rate is .01(11 − t) in year t. The sinking fund will earn 5% per year. Determine the amount in the sinking fund after 10 years if the total payment made by Ryan at the end of each year is 12,000