Please answer all parts and show all work, and do not use excel. Thanks!

1. Bruce deposits $100 into a bank account. His account is credited interest at a force of interest of 5% in the first 2 years, and then at a nominal annual interest rate of 6% compounded quarterly. At the same time, Peter deposits $150 into a separate account. Peter's account is credited interest at a simple interest rate of i in the first 3 years, and then at a nominal annual discount rate of 6% compounded monthly. There are no further deposits or withdrawals. After 7.5 years, Peter's account value is 1.5 times of Bruce's account value. Calculate i. 1. Bruce deposits $100 into a bank account. His account is credited interest at a force of interest of 5% in the first 2 years, and then at a nominal annual interest rate of 6% compounded quarterly. At the same time, Peter deposits $150 into a separate account. Peter's account is credited interest at a simple interest rate of i in the first 3 years, and then at a nominal annual discount rate of 6% compounded monthly. There are no further deposits or withdrawals. After 7.5 years, Peter's account value is 1.5 times of Bruce's account value. Calculate