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OpenStudy (anonymous):
A bank account pays an interest of 4.4% compounded continuously. How long does it take the amount of money in the account to triple?
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OpenStudy (anonymous):
lol no bank compounds continuously, but no matter
your job is to solve
\[e^{0.044t}=3\] for \(t\)
do you know how to do that?
OpenStudy (anonymous):
yes,
OpenStudy (anonymous):
k then that is all
use a calculator to get the numeric answer
OpenStudy (anonymous):
In(3)=0.44t
In(3)/0.44t
t=In(3)/0.44
t=25
answer: 25years???
Is that right?
OpenStudy (anonymous):
your decimal is in the wrong place i think
\(4.4\%=.044\)
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OpenStudy (anonymous):
oh but 25 is right!
OpenStudy (anonymous):
you must have computed it correctly, just wrote it incorrectly
you have it , 25 years
OpenStudy (anonymous):
opps! yeah i typed that wrong
OpenStudy (anonymous):
k, you are done
good job
hope it is clear why you set it equal to 3
OpenStudy (anonymous):
thank you!! :D
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OpenStudy (anonymous):
yw
OpenStudy (tkhunny):
@satellite73 I want to start a new bank, just so I can credit continuous interest. Are you in?
OpenStudy (anonymous):
only if it is \(100\%\) a year so i can finally have \(\$e\)
OpenStudy (anonymous):
45.45 years
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