You invest an initial $1,000 in an account that has an annual interest rate of 2%, compounded quarterly. How much money will you have in the account after 5 years? Round your answer to the nearest whole number.
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OpenStudy (anonymous):
help me please!
OpenStudy (kropot72):
\[\large A=P(1+\frac{r}{n})^{nt}\]
where A is the amount of the principal P after t years, r is the annual interest rate as a decimal fraction and n is the number of compounding periods per year.
Do you follow so far?
OpenStudy (anonymous):
yes, i'm following you.
OpenStudy (kropot72):
Good. Can you now plug the given values into the equation and post the result?
OpenStudy (anonymous):
i'm having some trouble doing this...
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OpenStudy (kropot72):
What part are you having trouble with?
OpenStudy (anonymous):
plugging the numbers and such in...
OpenStudy (kropot72):
Well I'll plug them in for you, and hopefully you'll see that its not very difficult.
\[\large A=1000(1+\frac{0.02}{4})^{(4\times5)}\]
OpenStudy (anonymous):
thank you!
OpenStudy (kropot72):
You're welcome :)
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