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$5900 is invested, part of it at 11% and part of it was at 6%. For a certain year, the total yield is at $509.00. How much was invested at each rate?

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if x at 11%, then the rest (5900-x) is at 6%. The interest earned is

0.11x + 0.06(5900-x) = 509.00
x = 3100

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