SOLUTION: A man makes a deposit of $50,000 into an account that pays an annual interest of 5%. How much money will be in the account after 10 years if:
I. The interest is compounded continu
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-> SOLUTION: A man makes a deposit of $50,000 into an account that pays an annual interest of 5%. How much money will be in the account after 10 years if:
I. The interest is compounded continu
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Question 1209277: A man makes a deposit of $50,000 into an account that pays an annual interest of 5%. How much money will be in the account after 10 years if:
I. The interest is compounded continuously
II. How long will it take for the money to triple itself if interest is compounded continuously? Answer by math_tutor2020(3838) (Show Source):
The man deposits P dollars and wants it to triple to 3P dollars.
You could use P = 50,000 from earlier, but this also works for any positive real number.
The r value is the same as before.
The goal is to solve for variable t.
A = P*e^(r*t)
3P = P*e^(0.05*t)
3 = e^(0.05*t)
Ln(3) = Ln( e^(0.05*t) )
Ln(3) = 0.05*t*Ln( e )
Ln(3) = 0.05*t*1
Ln(3) = 0.05*t
t = Ln(3)/0.05
t = 21.972246
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