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Mathematics 18 Online
OpenStudy (anonymous):

are there 20 quarters in 5 years?

OpenStudy (mertsj):

what are quarters of years? What does that mean?

OpenStudy (anonymous):

yea. im trying to work on my word problem and im having trouble.

OpenStudy (anonymous):

let me repost it and you can see what im talking about. ive gotten so far but im stuck

OpenStudy (anonymous):

a company will need 55,000 in 5 years for a new addition. to meet this goal the company deposits money in an account that pays 5% annual interest compound quarterly. find the amount that should be invested to total 55,000 in five years.

OpenStudy (mertsj):

yes there are 20 quarters in 5 years. Just like there are 20 quarters in 5 of anything.

OpenStudy (anonymous):

i know i use a=p(1+r)^n

OpenStudy (mertsj):

\[A=A _{o}(1+\frac{r}{n})^{nt}\]

OpenStudy (anonymous):

ok i dont know that lol

OpenStudy (anonymous):

to find the total rate per period dont i divide

OpenStudy (mertsj):

\[55000=A _{0}(1+\frac{.05}{4})^{4(5)}\]

OpenStudy (anonymous):

ok thats were im lost. i divide 4 into 5?

OpenStudy (anonymous):

0.0125?

OpenStudy (mertsj):

Got your calculator?

OpenStudy (mertsj):

\[55000=A _{0}(1+.0125)^{20}\]

OpenStudy (mertsj):

\[55000=A _{0}(1.0125)^{20}\]

OpenStudy (mertsj):

\[55000=A _{0}(1.28204)\]

OpenStudy (mertsj):

\[A _{0}=$42,900.47\]

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