Bob and Carol make deposits into two different accounts:

Bob made deposits of 1000 at time n and 1000 at time 2n. The value of his account at time 3n is 6000 at an annual effective interest rate of 7.1774%.

Carol made deposits of 1000 at time n, 2000 at time 2n. The value of her account at time 3n is 12,825.60 at a constant force of interest of .

Determine .

A 10%

B 15%

C 20%

D 25%

E 30%