A painting is purchased as an investment for $ 150 . If its value increases continuously so that it doubles every 4 years, then its value is given by the function V ( t ) = 150 ⋅ 2 t / 4 for t ≥ 0 where t is the number of years since the painting was purchased, and V ( t ) is its value (in dollars) at time t . Find V ( 12 ) and V ( 20 ) .
