Question 1057999
Use the equation for continuous compounding:


{{{A = Pe^(rt)}}}


with A = 4000, P = 2000, and r = 0.0375.


Substituting the value for A, P, and r into the equation and
solving for t gives:


{{{4000 = 2000*e^(0.0375t)}}}


{{{2 = e^(0.0375t)}}}


ln(2) = 0.0375t


t = ln(2) / 0.0375


t = 18.48 years