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How long will it take to earn $135 interest on $1500 with an interest rate of 3%?

 Mar 21, 2016
 #1
avatar+2592 
+5

Plug and chug buddy

1635 = 1500(1.03)^t

1635/1500 = 1.09

1.09 = 1.03^t

Log each side

log(1.09) = log(1.03)^t

Pull T out to front

log(1.09)=t*log(1.03)

Isolate T

t=log(1.09/1.03)

log(1.09)/log(1.03) = 2.9154664501233074

So about 2.92 units. Probably years in this instance.

 Mar 21, 2016
 #2
avatar+2498 
0

 \(1500\times(1.03)^t=1635\\ t = 2.91547\)

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 Mar 21, 2016
edited by Solveit  Mar 21, 2016
edited by Solveit  Mar 21, 2016

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