Jessica deposits $300 into a savings
account that pays an annual interest rate
of 2%, compounded twice a year. How
much money will Jessica have in her
account at the end of one year?
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Parth (parthkohli):
This is related to a formula known by the name of "continuous compounding".\[300(1 + 0.02)^{2} \]Do you understand how I got that?
OpenStudy (anonymous):
no
Parth (parthkohli):
Since you are adding stuff to 300, you have 1 + ....
0.02 is equal to 2%
And finally, you are compounding it twice a year in a year, so it'd be compounded two times.
OpenStudy (anonymous):
hmmmm
Parth (parthkohli):
300(1 +...) = 300 + 300(....) right? So you are adding to 300.
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OpenStudy (anonymous):
ANNUAL interest rate of 2% means in half a year you get half of 2% namely 1%
Parth (parthkohli):
Ooooh, nice catch.
OpenStudy (anonymous):
so it should be \(300(1.01)^2\)
OpenStudy (anonymous):
thanks
Parth (parthkohli):
I'd embrace Wolfram and financial advisors for this problem
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