Find the amount in a continuously compounded account for the given conditions.
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OpenStudy (anonymous):
Principal: $2000
Account interest rate: 5%
Time: 2 years
So far I have
\[\huge A=2000e^{(0.05*2)}\]
OpenStudy (anonymous):
\[A=PE ^{rt}\]
OpenStudy (anonymous):
\[\huge A=2000e^{(0.1)}\]
OpenStudy (anonymous):
that is right
OpenStudy (anonymous):
Yeah I know that. I just don't know what to do next.
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OpenStudy (anonymous):
Do I just put it into a calculator?
OpenStudy (anonymous):
\[\huge e^{(0.1)} = 1.105170918076\]
OpenStudy (anonymous):
A=2210.3418361513
OpenStudy (anonymous):
^^^^ @RoseDryer
OpenStudy (anonymous):
\[\huge A=2000(1.105170918076)\]
\[\huge A=2210.3418361513\]
\[\huge A=$2,210.34\]
I have to show my work. I'm not looking for answers.
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OpenStudy (anonymous):
That's right. good job! cx
OpenStudy (anonymous):
So my next one is
Principal: $400
Account interest rate: 6.7%
Time: 3 years
Would my equation be?
\[\huge A=400e^{(0.067*3)}\]
\[\huge A=400e^{(0.201)}\]
OpenStudy (anonymous):
A=489.049908729332
OpenStudy (anonymous):
I was just asking about the equation. I'm not using mathway for straight answers.
OpenStudy (anonymous):
@ganeshie8 is my equation correct for the second one