6. [10 points] A person made two investments totaling $12,600. In one year, those investments yielded $408 in simple interest. Part of the money was invested at 2%, and the rest was invested at 5%. How much was invested at each rate? SHOW ALL YOUR WORK FOR THE STEPS BELOW IN ORDER TO RECEIVE CREDIT. a. Define TWO variables to represent the unknown quantities in this problem. You must define each variable in words, clearly describing the unknown numerical quantity your variable stands for. This generally requires several words. b. Translate the problem into a system of equations. c. Solve the system. d. Check the answer-check BOTH equations. e. State the answer to the problem clearly. Write a complete sentence with a unit of measure (pounds, feet, dollars, etc.).