Identify whether the following statements about the simple and compound interest methods are true or false. True False Statement Everything else held constant, an account that earns compound interest will grow more quickly than an otherwise identical account that earns simple interest. All other factors being equal, both the simple interest and the compound interest methods will not generate the same amount of earned interest by the end of the first year. After the end of the second year and all other factors remaining equal, a future value based on compound interest will exceed a future value based on simple interest. o Dimitri is willing to invest $45,000 for six years, and is an economically rational investor. He has identified three investment alternatives (X, Y, and 2) that vary in their method of calculating Interest and in the annual interest rate offered. Since he can only make one investment during the six-year investment period, complete the following table and indicate whether Dimitri should invest in each of the investments. Note: When calculating each investment's future value, assume that all interest is earned annually. Do not round your intermediate calculations. The final value should be rounded to the nearest whole dollar. Make this investment? $ Investment interest Rate and Method Expected Future Value X 8% compound interest 10% compound interest 10% simple interest Y Z