document.write( "Question 507746: What single discount is equivalent to two successive discounts of 11% and 8%? \n" ); document.write( "

Algebra.Com's Answer #340708 by oberobic(2304) $\"\"$ $\"About$

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p = price
\n" ); document.write( "11% discount means the price is 89% of the original
\n" ); document.write( "8% discount means the price is 92% of the original
\n" ); document.write( ".
\n" ); document.write( "(.89 * p)*.92 = .8188
\n" ); document.write( "1 - .8188 = 1812.
\n" ); document.write( "18.12% discount is equivalent to an initial 11% discount followed by an 8% discount.
\n" ); document.write( ".
\n" ); document.write( "To check, pick a value.
\n" ); document.write( "Say $10.
\n" ); document.write( ".
\n" ); document.write( ".89* $10 = 8.90
\n" ); document.write( ".92* $8.90 = 8.188
\n" ); document.write( "Correct.
\n" ); document.write( ".
\n" ); document.write( "Answer: A single discount of 18.12% is equivalent to an 11% discount followed by an 8% discount.
\n" ); document.write( ".
\n" ); document.write( "Done. \n" ); document.write( "

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