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Mathematics 10 Online
OpenStudy (anonymous):

You invest $4,400 in an account that pays an interest rate of 7.25%, compounded continuously. Calculate the balance of your account after 15 years. Round your answer to the nearest hundredth.

OpenStudy (radar):

Use the continuious compounding interest formula.\[A=Pe ^{rt}\] where A=amount in the account P=Principal r=interest rate t=years

OpenStudy (radar):

\[A=4400e ^{.0725*15}\] e is the base of the natural logs and is approx2.71828

OpenStudy (radar):

\[A=4400e ^{1.0875}\]

OpenStudy (radar):

A=$13,054.12

OpenStudy (radar):

Did you get the same thing?

OpenStudy (anonymous):

yes

OpenStudy (anonymous):

now how would i do 7 = log x

OpenStudy (radar):

Great, didn't know if I used the calculator correctly.

OpenStudy (radar):

I assume we are using common logs. which uses base of 10. Then x =10^7 or 10,000,000

OpenStudy (radar):

Good luck, gotta run

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