Correct Answer: 14%
Explanation:
∵ 3000 = 2000(1 + r/200)6 ⇒ 3/2 = (1 + r/200)6 ⇒ 1 + r/200 = (3/2)1/6 ⇒ log(1 + r/200)= 1/6(log 3 - log 2 ) ⇒ log(1 + r/200)= 1/6(0.4771-.3010) = 0.02935 ⇒ (1 + r/200) = antilog(.02935) ⇒ 1 + r/200 = 1.070 = 1 + 7/100 ∴ r = 14%