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Margaret currently has a balance of $7,726.99 in an account earning simple interest. Sixteen years ago she opened the account with an initial deposit of $5,278. What is the interest rate on this account?

 Jan 7, 2017
 #1
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For SIMPLE interest (no compounding)

FV = PV(1 + nr)        FV = Future value (7726.99)  PV= 5278    n = number of periods(16 years)  r= decimal interest(?)

7726.99 = 5278(1+16r)

 

7726.99/5278  - 1  = 16r

.463999 = 16 r

r=.028999 ~ ..029   = 2.9% interest rate

 Jan 7, 2017
 #2
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Thanks :)

 Jan 7, 2017
 #3
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7,726.99 - 5,278 =$2,448.99 simple interest earned over 16 years.

$2,448.99 / 16 =$153.06 simple interest earned per year.

$153.06 / $5,278 =0.029 x 100 =2.9% simple annual interest rate.

 Jan 7, 2017

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