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26 October, 04:37

Maricopa's Success scholarship fund receives a gift of $ 190000. The money is invested in stocks, bonds, and CDs. CDs pay 3.5 % interest, bonds pay 4 % interest, and stocks pay 7 % interest. Maricopa Success invests $ 10000 more in bonds than in CDs. If the annual income from the investments is $ 9425, how much was invested in each account

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  1. 26 October, 06:32
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    CDs = $55,000

    Bonds = $65,000

    Stock = $70,000

    Explanation:

    Given:

    Interest rate on CDs = 3.5%

    Interest rate on Bonds = 4%

    Interest rate on Stocks = 7%

    Total Interest from the investments = $9,425

    Computation:

    CDs + Bonds + Stocks = $190,000 ... eq1

    Total Interest from the investments = $9,425

    0.035 CDs + 0.04 Bonds + 0.07 Stocks = $9,425 ... eq2

    Given:

    Bonds = $10,000 + CDs (Putting bonds value in eq1)

    CDs + $10,000 + CDs + Stocks = $190,000

    2 CDs + Stock = $180,000 ... eq3

    (Putting bonds value in eq2)

    0.035 CDs + 0.04 ($10,000 + CDs) + 0.07 Stocks = $9,425

    0.035 CDs + $400 + 0.04CDs + 0.07 Stocks = $9,425

    0.035 CDs + $400 + 0.04CDs + 0.07 Stocks = $9,425

    0.075 CDs + 0.07 Stocks = $9,025 ... eq4

    From eq 3 and eq 4

    CDs = $55,000

    Bonds = $10,000 + CDs = $55,000 + $10,000 = $65,000

    Stock = $190000 - $55,000 - $65,000 = $70,000
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