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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 - ,

    work with the principal and the interest.

    x * 0.04 + (100000-x) * 0.075 = 5050
    .04x + 7500 - .075x = 5050
    .035x = 2450
    x = 70000

    70000 * .04 + 30000 * .075 = 5050

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