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15 January, 13:34

The annual interest on an $20,000 investment exceeds the interest earned on a $4000 investment by $1320. The $20,000 is invested at a 0.6% higher rate of interest than the $4000. What is the interest rate of each investment?$20,000 is invested at what %$4,000 is invested at what %

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  1. 15 January, 13:48
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    "8.8%"

    Step-by-step explanation:

    Let x be the interest rate for the 20,000 and y for the 4,000

    The problem says:

    x20,000 = y4,000+1320 (1)

    and

    x = y+0.006 Substitute this value for x on equation (1)

    (y+0.006) 20,000 = y4,000+1320

    20,000y+120 = y4,000+1320

    16,000y = 1320

    y = 0.0825 So the 4,000 are invested at 8.25%

    And since x = y+0.006:

    x =.0825+0.006 = 0.0885 or 8.8%. The 20,000 are invested at 8.8%
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