SOLUTION: Mrs. Brown put $10,000 into a savings account that pays 5% interest, compounded continuously. How much will Mrs. Brown have in the account after 6 years

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Question 1159027: Mrs. Brown put $10,000 into a savings account that pays 5% interest, compounded continuously. How much will Mrs. Brown have in the account after 6 years
Answer by ikleyn(52794) About Me  (Show Source):
You can put this solution on YOUR website!
.

For continuously compounded account, the Future Value


    FV = A%2Ae%5E%28k%2At%29,


where A is initial deposit, k is the interest, expressed as decimal, and t is the time in years.


In your case


    FV = 10000%2Ae%5E%280.05%2A6%29 = 10000%2A%282.71828%5E0.3%29 = 13498.59 dollars.       ANSWER

Solved.

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For continuously compounded accounts, see the lesson
    - Compound interest percentage problems
in this site.