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Santiago receives $179 per year in simple interest from three investments. Part is invested at 2%, part at 3%, and part at 4%. There is

Santiago receives $179 per year in simple interest from three investments. Part is invested at 2%, part at 3%, and part at 4%. There is a $500 more invested at 3% than at 2%. The amount invested at 4% is four times the amount invested at 3%. Find the amount invested at each rate.

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