Write a system of two equations in two variables to solve each problem. Lottery

Chapter 4, Problem 4.4.40

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Write a system of two equations in two variables to solve each problem. Lottery Winnings. After winning $60,000 in the lottery, a retired teacher gave $10,000 of it to her grandchildren. She invested part of the remainder in a growth fund that earned 4.4% annually and the rest in certificates of deposit paying a 5.8% annual percentage yield. The interest that she received on these two investments totaled $2,732 at the end of the first year. Find the amount of each investment.

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