Question

Maricopa's Success scholarship fund receives a gift of $ 165000. The money is invested in stocks, bonds, and CDs. CDs pay 5.75 % interest, bonds pay 5 % interest, and stocks pay 6.8 % interest. Maricopa Success invests $ 40000 more in bonds than in CDs. If the annual income from the investments is $ 9645 , how much was invested in each account

Answer 1

Answer:

$ 65,000 were invested in stocks, $ 70,000 were invested in bonds, and $ 30,000 were invested in CDs.

Explanation:

Since Maricopa's Success scholarship fund receives a gift of $ 165000, and the money is invested in stocks, bonds, and CDs, and CDs pay 5.75% interest, bonds pay 5% interest, and stocks pay 6.8% interest, and Maricopa Success invests $ 40000 more in bonds than in CDs, if the annual income from the investments is $ 9645, to determine how much was invested in each account, the following calculation must be performed:

95,000 x 0.068 + 55,000 x 0.05 + 15,000 x 0.0575 = 10,072.5

75,000 x 0.068 + 65,000 x 0.05 + 25,000 x 0.0575 = 9,787.5

70,000 x 0.068 + 67,500 x 0.05 + 27,500 x 0.0575 = 9,716.25

65,000 x 0.068 + 70,000 x 0.05 + 30,000 x 0.0575 = 9,645

Therefore, $ 65,000 were invested in stocks, $ 70,000 were invested in bonds, and $ 30,000 were invested in CDs.