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25 January, 17:32

John lent 20,000 to Emily. She would reimburse John in 2 installments, first a payment of 15,000 in 2 years and 6 months, and 12,000 in 4 years. What annual interest rate does John get? Multiply the number (in percentages) by 100 and round it to the nearest natural number.

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Answers (2)
  1. 25 January, 19:51
    0
    3000

    Step-by-step explanation:

    15,000+12,000 = 27,000

    which means that 27,000 divided by 2 is 13,500 and 13,500 take away 10,000 = 3,500 is the interest a year and 3000 a natural number
  2. 25 January, 20:59
    0
    10%

    Step-by-step explanation:

    If it's yearly interest rate you can combine 2 numbers:

    x - 1st effective rate paid

    y - 2nd effective rate paid

    k - interest rate

    You can create 3 equations:

    1) 15000 = x * k ^ (5/2)

    2) 12000 = y * k ^ 4

    3) x + y = 20000

    solving that equation you get:

    x = 11812

    y = 8188

    k = 1,10

    Annual interest rate is 0,1 * 100% = 10%
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