A = Pert is formula for continuously compounded interestA = final amount = 2000P = principal = 1000e = euler's number (on calculator)r = interest rate as decimal = .075t = time in years
2000 = 1000e.075t e.075t = 2000/1000e.075t = 2take natural log of both sidesln e.075t = ln 2.075t = ln 2t = ln2/.075t = 9.24 years
