Suppose Your Family Owns a Rare Book Whose Value T $V ( t ) = 7 e ^ { \sqrt { 0.6 t } }$

Multiple Choice

Suppose your family owns a rare book whose value t years from now will be $V ( t ) = 7 e ^ { \sqrt { 0.6 t } }$ dollars. If the prevailing interest rate remains constant at 6% per year compounded continuously, when will it be most advantageous for your family to sell the book and invest the proceeds? Round your answer to two decimal places.

A) 34.72 years
B) 41.67 years
C) 111.11 years
D) 180.56 years