The sum of $12,000 is invested in three mutual funds that pay 4%, 6.5% and 8% annual interest rates. The amount of money invested in the fund paying 8% equals four times the amount of money invested in the 4% fund, and the total annual interest from all three funds is $832.50. a. Write a system of equations whose solution gives the amount invested in each mutual fund. Be sure to define the variables. b. Solve the system of equations.

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