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.

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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step-by-step explanation:

its a straight line parallel to the time axis