thehumantorch10
  • thehumantorch10
WILL GIVE MEDAL for EXPLANATION AND ANSWER!!!!!! One thousand five hundred dollars is invested in two different accounts paying 4% and 5% interest. A total of $67 interest is earned after one year. How much money was invested at 4%? a. $700 b. $800 c. $900
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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thehumantorch10
  • thehumantorch10
@LynFran
anonymous
  • anonymous
Is the 4% and 5% interest anually ?
anonymous
  • anonymous
Or monthly/daily/hourly and so forth ?

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thehumantorch10
  • thehumantorch10
annually i think. it doeesnt specify
anonymous
  • anonymous
Alright. The idea here is pretty simple. Consider this:suppose the first sum was X and the second sum was Y. |dw:1437351988132:dw|
thehumantorch10
  • thehumantorch10
k
anonymous
  • anonymous
The total sum deposited being 1500$ simply means that X+Y=1500.
anonymous
  • anonymous
The interest earned for each sum is simply: |dw:1437352107232:dw|
anonymous
  • anonymous
Mathematically we can write that as: 4X/100 + 5Y/100 = 67 (which is the total interest earned that year)
anonymous
  • anonymous
And now we simply have to solve two equations with two unknown variables. X+Y=1500 4X/100 + 5Y/100 = 67 We multiply the second equation with 100: X+Y=1500 4X+5Y=6700 We multiply the first equation with 5: 5X+5Y=7500 4X+5Y=6700 We subtract the second equation from the first equation: X=800 Which is the answe you are looking for.
thehumantorch10
  • thehumantorch10
thank you for the help!!!

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