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Ron invested a total of $5,200.00, part at 5.5% simple interest and part 4.5% interest. At the end of one...

Ron invested a total of $5,200.00, part at 5.5% simple interest and part 4.5% interest. At the end of one year, the investments had earned $267.00 interest. How much was invested at each rate?
Amount invested at 5.5%:
Amount invested at 4.5%:

Answer

Let x be the amount invested at 5.5%, and y be the amount invested at 4.5%.

  1. Equation 1: x + y = 5200
  2. Equation 2: 0.055x + 0.045y = 267

Solving these equations:

  1. From Equation 1: y = 5200 - x
  2. Substitute into Equation 2: 0.055x + 0.045(5200 - x) = 267
  3. 0.055x + 234 - 0.045x = 267
  4. 0.01x = 33
  5. x = 3300
  6. y = 5200 - 3300 = 1900

Amount invested at 5.5%: $3300

Amount invested at 4.5%: $1900

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