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Mathematics 21 Online
OpenStudy (anonymous):

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.

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

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

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

OpenStudy (anonymous):

ok hold on

OpenStudy (kropot72):

t = 12.67 years

OpenStudy (anonymous):

so c 12.6? thats my option

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