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19 January, 04:47

Jack invests $500 at a certain annual Interest rate, and he invests another $2000 at an annual rate that is one-half percent higher. If he receives a total of $210 Interest in 1 year, at what

rate is the $500 Invested?

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Answers (1)
  1. 19 January, 05:10
    0
    8%

    Step-by-step explanation:

    So we have two investments. The first is 500 with an interest rate of x while 2000 has an interest rate of x+.005 (.005 is. 5 %),

    annual interest means it gets interest once a year, it then says in total, after one year, so one time getting interest he gets 210 total, so in total the money is 500 + 2000 + 210. So let's set up an equation with all this

    500x + 2000 (x+.005) = 2710

    500x + 2000x + 10 = 2710

    2500x = 2700

    x = 1.08

    So that means we multiply 500 by 1.08, which represents 8% and 2000 by 1.085. But the question is just asking for the interest rate for 500 so the answer is 8%

    If you don't understand how I did anything let me know.
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