SOLUTION: You deposit $4000 in an account earning 8% interest compounded continuously. How much money will you have in the account in 10 years? $= ____

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Question 1153465: You deposit $4000 in an account earning 8% interest compounded continuously. How much money will you have in the account in 10 years?

$= ____

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

If the interest is compounded continuously for t years at a rate of r per year, then the compounded amount is given by:
A+=+P%2Ae%5E%28rt%29
given:
$P=4000
r=8% =0.08
t=10 years
A+=+4000%2Ae%5E%280.08%2A10%29
A+=+4000%2Ae%5E%280.8%29
A+=+4000%2A2.22554
A+=+8902.16

answer: $= 8902.16