Kate is willing to invest $$45,000$ for six years, and is an economically rational investor. She has identified three investment aiternatives $(L,M,$ and $P)$ that vary in their method of calculating interest and in the annual interest rate offered.

Since she can only make one investment during the six$-$year investment period, complete the following table and indicate whether Kate should invest in each of the investments.

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

$\backslash$table$[[$Investment Interest rate and Method Expected future value Make this investment?,$],[$M$,8\%$ compound interest$],[$P simple interest,$]]$