Question

Maricopa's Success scholarship fund receives a gift of $ 160000. The money is invested in stocks, bonds, and CDs. CDs pay 4.5 % interest, bonds pay 5.8 % interest, and stocks pay 8.4 % interest. Maricopa Success invests $ 15000 more in bonds than in CDs. If the annual income from the investments is $ 10450 , how much was invested in each account

Answer 1

Answer:

Maricopa's Success invested $40,000 in CDs, $55,000 in bonds and $65,000 in stocks.

Explanation:

Since Maricopa's Success scholarship fund receives a gift of $ 160,000, and the money is invested in stocks, bonds, and CDs, and CDs pay 4.5% interest, bonds pay 5.8% interest, and stocks pay 8.4% interest, and Maricopa Success invests $ 15000 more in bonds than in CDs, if the annual income from the investments is $ 10,450, to determine how much was invested in each account, the following calculation must be performed:  

15,000 x 0.045 + 30,000 x 0.058 + 115,000 x 0.084 = 675 + 1740 + 9660 = 12,075

30,000 x 0.045 + 45,000 x 0.058 + 85,000 x 0.084 = 1350 + 2610 + 7140 = 11,100

37,500 x 0.045 + 52,500 x 0.058 + 70,000 x 0.084 = 1687.5 + 3045 + 5880 = 10,612.5

40,000 x 0.045 + 55,000 x 0.058 + 65,000 x 0.084 = 1800 + 3190 + 5460 = 10,450

Therefore, Maricopa's Success invested $ 40,000 in CDs, $ 55,000 in bonds and $ 65,000 in stocks.