document.write( "Question 1134024: pls help me to answer: z is directly proportional to x and inversely to the square of y. what is the percent of z if x is increased by 20% and y is decreased by 40%? \n" ); document.write( "

Algebra.Com's Answer #751318 by MathLover1(20850) $\"\"$ $\"About$

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\n" ); document.write( "Given $\"z+=+%28x%2Fy%5E2%29\"$ \r
\n" ); document.write( "\n" ); document.write( "Hence $\"+z+=+%28x%2Fy%5E2%29\"$ assuming proportionality constant as $\"\"$ 1.\r
\n" ); document.write( "\n" ); document.write( " $\"x\"$ increase by $\"20\"$ % and $\"y\"$ decreases by $\"40\"$ %\r
\n" ); document.write( "\n" ); document.write( "Hence $\"z\"$ value becomes:\r
\n" ); document.write( "\n" ); document.write( " $\"z+=+1.20x%2F%28%281-0.40%29y%29%5E2+=+1.20x%2F%280.60y%29%5E2\"$ \r
\n" ); document.write( "\n" ); document.write( "Change in $\"z\"$ value \r
\n" ); document.write( "\n" ); document.write( "= $\"+1.20x%2F%280.36y%5E2%29-%28x%2Fy%5E2%29\"$ \r
\n" ); document.write( "\n" ); document.write( "= $\"%282.33333x%29%2Fy%5E2\"$ \r
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\n" ); document.write( "\n" ); document.write( "Increase in $\"z\"$ % = $\"%28%282.33333x%29%2Fy%5E2%29%2F%28x%2Fy%5E2%29%2A100\"$ \r
\n" ); document.write( "\n" ); document.write( "= $\"2.33333%2A+100+=+233.333\"$ %\r
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