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You invested $14,000 in two accounts paying 5% and 9% annual interest, respectively. If the total interest earned for the year was $820, how much was invested at each rate?

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  1. If you have x at 5%, then you have (14000-x) at 9%. Now just calculate the interest on each and add it up:

    .05x + .09(14000-x) = 820
    x = 11000

    so, you have $11,000 at 5% and $3000 at 9%.

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