Joe deposits $630 in a savings account which pays 5.5% per year. If the account compounds monthly, find how long it takes to double his investment.
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OpenStudy (broskishelleh):
Well he gets 34.65 from it, so it would take 19 months
OpenStudy (anonymous):
how did you figure
OpenStudy (anonymous):
11.5 years
10.7 years
12.6 years
14.3 years
OpenStudy (anonymous):
those are my choices
OpenStudy (anonymous):
though
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OpenStudy (kropot72):
You can use this equation to solve:
\[1260=630(1+\frac{0.055}{12})^{12t}\]
where t is the number of years.
Do you know how to solve for t?
OpenStudy (anonymous):
you times 12 into 0.055 and 12?
OpenStudy (anonymous):
or divide?
OpenStudy (anonymous):
12.63?
OpenStudy (anonymous):
so its 12.6 years
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OpenStudy (kropot72):
First divide both sides by 630 and simplify the terms inside the brackets to give:
\[2=1.00457^{12t}\]
Then take logs of both sides:
\[\log_{} 2=12t \log_{} 1.00457\]
Now divide both sides by 12 * lo1.00457 to get:
\[t=\frac{\log\ 2}{12\ \log\ 1.00457}=you\ can\ calculate\]
OpenStudy (anonymous):
I dont undersand this
OpenStudy (anonymous):
I thought the answer was 12.6
OpenStudy (kropot72):
Did you do the calculation?
OpenStudy (anonymous):
idk
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