SOLUTION: The amount of money in an account with continuously compounded interest is given by the formula A = Pe^rt, where P is the principal, r is the annual interest rate, and t is the tim

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: The amount of money in an account with continuously compounded interest is given by the formula A = Pe^rt, where P is the principal, r is the annual interest rate, and t is the tim      Log On


   



Question 479085: The amount of money in an account with continuously compounded interest is given by the formula A = Pe^rt, where P is the principal, r is the annual interest rate, and t is the time in years. Calculate to the nearest tenth of a year how long it takes for an amount of money to double if interest is compounded continuously at 6.2%.
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
The working equation would be
2P+=+Pe%5E%280.062t%29
==> 2+=+e%5E%280.062t%29
==> ln2+=+0.062t
==> t+=+ln2%2F0.062
==> t = 11.2 years.