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Mathematics 13 Online
OpenStudy (anonymous):

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?

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.

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

Parth (parthkohli):

... and @satellite73 too

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