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  • 15-01-2017
  • Mathematics
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If $6,000 is placed in an account with an annual interest rate of 3.5%, how long will it take the amount to quadruple if the interest is compounded annually? Round your answer to two decimal places.

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bcalle
bcalle bcalle
  • 15-01-2017
The formula to use is
A=p(1+(r/n))^(nt)
P= principle
R= rate
N= number of times it's compounded per year
T= time in years
Quadruple means 4 times
24000=6000(1+.035)^t
Divide by 6000
4= (1.035)^t
To bring the variable out of the power you take the log of both sides.
Log4= t Log1.035
Divide both sides by log1.035
(Log4)/(log1.035)=t
40.30=t
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