document.write( "Question 206227: x= (kyz)/p^2 what % change occurs in x, if y increases by 20%, z decreases by 20% and p is doubled \n" ); document.write( "
Algebra.Com's Answer #155788 by ptaylor(2198)\"\" \"About 
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\n" ); document.write( "\n" ); document.write( "x= (kyz)/p^2\r
\n" ); document.write( "\n" ); document.write( "y increases by 20%=y+0.2y
\n" ); document.write( "z decreases by 20%=z-0.2z
\n" ); document.write( "p doubles=2p
\n" ); document.write( "x1={k(y+0.2y)(z-0.2z)}/(2p)^2 expand (y+0.2y)(z-0.2z) using FOIL
\n" ); document.write( "x1=k(yz-0.2yz+0.2yz-0.04yz)/(2p)^2 simplify\r
\n" ); document.write( "\n" ); document.write( "x1=(kyz-0.04kyz)/4p^2;
\n" ); document.write( "x1=0.96kyz/4p2;
\n" ); document.write( "x1=(0.96/4)(kyz/p^2)=(0.96/4)(x)
\n" ); document.write( "x1=0.24x
\n" ); document.write( "So x decreases by x-0.24x=76%\r
\n" ); document.write( "\n" ); document.write( "Hope this helps---ptaylor\r
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