SOLUTION: A trust fund is being set up by a single payment so that at the end of 30years there will be 50,000 dollars in the fund. If the interest is compoundedcontinuously at an annual rate

Algebra ->  Customizable Word Problem Solvers  -> Mixtures -> SOLUTION: A trust fund is being set up by a single payment so that at the end of 30years there will be 50,000 dollars in the fund. If the interest is compoundedcontinuously at an annual rate      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 1136869: A trust fund is being set up by a single payment so that at the end of 30years there will be 50,000 dollars in the fund. If the interest is compoundedcontinuously at an annual rate of 6 percent, how much money should be paidinto the fund initially?
Answer by ikleyn(52786) About Me  (Show Source):
You can put this solution on YOUR website!
.

Future value  50000 = P%2A%28e%5E0.12%29%5E30,


where P is the principal amount, which is the value under the question in this problem.


From the equation,


    P = 50000%2F%282.71828%5E0.12%29%5E30%29 = 50000%2F%281.127497%5E30%29 = 1366.19 dollars.    ANSWER