1. 4 year(s) ago, Cara invested 79,180 dollars. She has earned and will earn compound interest of 4.65 percent per year. In 3 year(s) from today, Liam can make an investment and earn simple interest of 12.38 percent per year. If Liam wants to have as much in 8 years from today as Cara will have in 8 years from today, then how much should Liam invest in 3 year(s) from today?

2. 3 year(s) ago, Goran invested 36,083 dollars. He has earned and will earn 14.36 percent per year in compound interest. If Ruby invests 105,908 dollars in 1 year(s) from today and earns simple interest, then how much simple interest per year must Ruby earn to have the same amount of money in 8 years from today as Goran will have in 8 years from today? Answer as a rate in decimal format so that 12.34% would be entered as .1234 and 0.98% would be entered as .0098.

3. Sasha owns two investments, A and B, that have a combined total value of 40,300 dollars. Investment A is expected to pay 28,000 dollars in 5 year(s) from today and has an expected return of 14.45 percent per year. Investment B is expected to pay 34,135 in 2 years from today and has an expected return of R per year. What is R, the expected annual return for investment B? Answer as a rate in decimal format so that 12.34% would be entered as .1234 and 0.98% would be entered as .0098.

4. Sasha owns two investments, A and B, that have a combined total value of 50,100 dollars. Investment A is expected to pay 27,800 dollars in 7 year(s) from today and has an expected return of 10.05 percent per year. Investment B is expected to pay 59,515 dollars in T years from today and has an expected return of 9.15 percent per year. What is T, the number of years from today that investment B is expected to pay 59,515 dollars? Round your answer to 2 decimal places (for example, 2.89, 14.70, or 6.00).