Two funds, A and B, start with the same amount.

Fund A grows at an annual interest rate of i > 0 for n years, and at an annual interest rate of j >0 for the next n years.

Fund B grows at an annual interest rate of k>0 for 2n years.

Fund A equals 1.5 times fund B after n years. The amount in the two funds are equal after 2n years.

Which of the following are true?

(I) j

(II) k

(III) j = k(2/3)^(1)

Note: The arithmetic-geometric average inequality states that (x + y)/2 xy

Two funds, A and B, start with the same amount. Fund A grows at an annual interest rate of i > 0 for n years, and at an annual interest rate of j > 0 for the next n years. Fund B grows at an annual interest rate of k >0 for 2n years. Fund A equals 1.5 times fund B after n years. The amount in the two funds are equal after 2n years. Which of the following are true? I. jxy. 2 A I and II only B I and III only II and III only D I, II and III E The correct answer is not given by (A), (B), (C) or (D)