201k views
4 votes
Jeff deposit 3500 in an account that pays 4% annual interest. how long does it take to double the initial deposit if the interest is compounded continuously?

User Ankit Pise
by
8.0k points

1 Answer

3 votes
We need this formula:
Years = [natural log (total / principal)] / rate
Years = [natural log (7,000 / 3,500)] / .04
Years = [natural log (2)] / .04
Years = 0.69314718056 / .04
Years = 17.328679514


Jeff deposit 3500 in an account that pays 4% annual interest. how long does it take-example-1
User Goodm
by
7.0k points