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Given that T=kx/y, find the percentage increase in T when K, x and y all increase by 20%

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shaindl | Student | eNotes Newbie

Posted September 26, 2012 at 1:12 AM via web

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Given that T=kx/y, find the percentage increase in T when K, x and y all increase by 20%

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justaguide | College Teacher | (Level 2) Distinguished Educator

Posted September 26, 2012 at 1:55 AM (Answer #1)

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The relation between T, k, x and y is `T = (k*x)/y`

If k, x and y are increased by 20%, the result is

`T' = (k*1.2*x*1.2)/(y*1.2)`

 = `((k*x)/y)*(1.2*1.2/1.2)`

= `(k*x)/y*1.2`

= `T*1.2`

The percentage increase in T is 20%.

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noizmeka | Student, Undergraduate | eNoter

Posted September 26, 2012 at 12:12 PM (Answer #2)

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T=KX/Y

k=120/100K

x=120/100X

y=120/100Y

t=1.2K*1.2X/1.2Y

t=1.2T

1.2-1

0.2*100

=20

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