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7 June, 20:22

A banker has $1000 to invest. She deposits part of it in a stock paying 4%, and the rest in bonds that offer 5% return. If the total interest earned in one year was $440, how much was invested at each rate?

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Answers (2)
  1. 7 June, 20:27
    0
    Step-by-step explanation:

    Let x represent the amount invested at 4% and y the amount at 5%. Then x + y = 1000.

    Then:

    0.04 (1000 - x) + 0.05x) = 440 (total interest)

    Then:

    40 - 0.04x + 0.05x = 440, or

    0.01x = 400, or

    x = 40000 (not possible, because the principal is only $1000.

    Something's wrong here. Double check to ensure that you've copied the problem down correctly.
  2. 7 June, 20:45
    0
    Step-by-step explanation:

    Given that:

    4x + 5x = $440

    9x = $440

    x = $49 (Approx.)

    So, she received:

    from the stock = 4 x 49 = $196

    from the bond = 5 x 49 = $245

    SO, now, how much did she invest?
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