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Misha deposited $3,725 into a savings account 22 years ago. The account has an interest rate of 2.2% and the balance is curently $6,012.37. How often does the interest compound? 

 Jan 10, 2017
 #1
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If I were you, I'd guess and check to find the right answer.

 

First, try it with a yearly interest rate. If you check this and it doesn't work, try different rates like monthly, once every six months, once every two years, etc.

 

I'm sorry, but I personally don't know of an easier way to do this problem.

 Jan 10, 2017
 #3
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6012.37 = 3725 (1 + i/n)^n        To solve this you will have to either try and try again as guest has suggested.....or graph it  or go to Wolfram alpha....

I graphed it to find n = 1 time per year

 

WolframAlpha returned the same value   n= 1 times/yr

 Jan 10, 2017
edited by ElectricPavlov  Jan 10, 2017
 #4
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FV=PV[1+R]^N

6012.37=3,725[1 +0.022]^N

1.6184 = 1.022^N

N = Log(1.6184) / Log(1.022)

N =~22 Years. Therefore the interest is compounded annually.

 Jan 10, 2017

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