how long, to nearest tenth of a year, will it take $50,000 to triple in value at 7.5% annual interest compounded continuously

Question

Use continuous compounding to solve.

Answer 1

A = Pe^rt

150,000 = 50,000e^.075t

3 = e^.075t

ln3 = .075t

1.0986 = .075t

14.7 years = t