SOLUTION: If in the expression x^2y the values of x and y are each decreased by 20%, then the value of the expression is decreased by a factor of A 61/125 b 50% c 64/125 d 60% e none

Algebra.Com
Question 280517: If in the expression x^2y the values of x and y are each decreased by 20%, then the value of the expression is decreased by a factor of
A 61/125 b 50% c 64/125 d 60% e none of these

Answer by Theo(13342)   (Show Source): You can put this solution on YOUR website!
the expression is x^2*y.

the values of x and y are each decreased by 20%.

the expression becomes:

(x-.2x)^2*(y-.2y)

this becomes:

(.8x)^2*(.8y) which becomes:

(.8)^2*x^2*(.8)*y which becomes:

(.8)^2*(.8)*x^2*y which becomes

(.8)^3*x^2*y which becomes:

.512*x^2*y.

.512 is equivalent to 64/125 so the answer is selection c.


RELATED QUESTIONS

In the expression xy^2, the values of x and y are each decreased by 25%. To the nearest... (answered by Fombitz)
Translate the verbal expression to an algebraic expression. Then identify the terms,... (answered by showe9)
a number is increased by 20% and then decreased by 20%.the final value of number (in... (answered by fractalier)
A number is increased by 20% and then decreased by 20%. the final value of the number is... (answered by macston)
The sum of x and y decreased by their product (answered by Alan3354)
The sum of x and y decreased by their... (answered by solver91311)
Evelyn bought stock in a company two years ago that was worth x dollars. During the first (answered by ikleyn,greenestamps)
If the length of a rectangle is increased by 40% and its width is decreased by 20%, what... (answered by checkley77)
if the length of a rectangle is increased by 20% and the width is decreased by 20%then... (answered by ankor@dixie-net.com)