pre-calculus

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$100,000 is divided into two investments with annual returns of 4% and 7.5%. find the amount invested at the lower rate if the total income at the end of the year is $5050?

  • pre-calculus -

    amount invested at 4% --- x
    amount invested at 7.5% -- 100000-x

    solve for x:
    .04x + .075(100000-x) = 5050

  • pre-calculus -

    solve for x and express the solution in a+bi form : ix^2-3x+4i=0

  • pre-calculus -

    You sure this is right?

    ix^2 - 3x - 4i = (ix+1)(x-4i)
    but that's not what we have.

    So, using the good old quadratic formula,

    x = (3 ± √5)]/2i

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