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Phyllis invested 32000 dollars, a portion earing a simple interest rate of 5 percent per year and the rest earning a rate of 6 percent per year. After
one year the total interest earned on these investments was 1820 dollars. How much money did she invest at each rate?

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sqdancefan

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Answer:

  • $10,000 at 5%
  • $22,000 at 6%

Step-by-step explanation:

Let x represent the amount invested at 6%. Then 32000-x is the amount invested at 5%, and the total interest earned is ...

  0.06x +0.05(32000 -x) = 1820

  0.01x +1600 = 1820 . . . . simplify

  0.01x = 220 . . . . . . . . . .  subtract 1600

  x = 22,000 . . . . . . . . . . . multiply by 100

  32000 -x = 10,000

Phyllis invested $22,000 at 6% and $10,000 at 5%.

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