Identify whether the following statements about the simple and compound interest methods are true or false.

$\backslash$table$[[$Statement$],[$The process of earning compound interest allows a depositor or investor to earn interest on any interest earned in prior periods.$],[$After the end of the second year and all other factors remaining equal, a future value based on compound interest will$],[$never exceed the future value based on simple interest.$],[$All other factors being equal, both the simple interest and the compound interest methods will accrue the same amount of$],[$earned interest by the end of the first year.$]]$

Nicholai is willing to invest $$30,000$ for six years, and is an economically rational investor. He has identified three investment alternatives $($ A $,$ B $,$ and C $)$ 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 Nicholai should invest in each of the investments.

Note: When calculating each investment's future value, assume that all interest is earned annually. The final value should be rounded to the nearest whole dollar.

$\backslash$table$[[$Investment$,$Interest Rate and Method,Expected Future Value,Make this investment?$],[$A$,8\%$ simple interest,$$,],[$B$,3\%$ compound interest,,$],[$C$,5\%$ compound interest,,$]]$