Sarah is willing to invest $$30,000$ for three years, and is an economically rational investor. She has identified three investment alternatives $($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 three$-$year investment period, complete the following table and indicate whether Sarah 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.

Investment

Interest Rate and Method

Expected Future Value

Make this investment?

L $7\%$ compound interest

$

M $6\%$ simple interest

$

P $11\%$ compound interest

$