document.write( "Question 304923: The profit earnings for XYZ co. are reported quarterly. The earnings as a % of the yearly earnings for 2007 are 1st quarter 25%, 2nd quarter 15%, 3rd quarter
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document.write( "38%, 4th quarter 22%. If the earnings in the 1st quarter were $54,000, what were the earnings for the third quarter? Please show step by step work and include units in the solution. \r
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Algebra.Com's Answer #218403 by Theo(13342)![]() ![]() You can put this solution on YOUR website! The quarterly profit earning for XYZ corporation are:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "First quarter equals 25% \n" ); document.write( "Second quarter equals 15% \n" ); document.write( "Third quarter equals 38% \n" ); document.write( "Fourth quarter equals 22%\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "These earning are expressed as a percent of the yearly earnings for 2007.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "If the first quarter earnings were $54,000, this means that the yearly earnings must have been $54,000 / .25 = $216,000.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "25% of $216,000 equals $54,000\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Now that you have the yearly earnings, you can determine the earnings for each quarter.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "They would be:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "First quarter equals 25% of $216,000 = $54,000 \n" ); document.write( "Second quarter equals 15% of $216,000 = $32,400 \n" ); document.write( "Third quarter equals 38% of $216,000 = $82,080 \n" ); document.write( "Fourth quarter equals 22% of $216,000 = $47,520\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Sum up the quarterly earnings to get $216,000\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The question is what were the earnings in the third quarter.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the answer is $82,080.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "You could have solved it directly without actually determining the yearly eaarnings as follows:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Let Y equal the yearly earnings.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( ".25 * Y = $54,000 which means that Y = $54,000 / .25\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The third quarter earnings are equal to .38 * Y.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Since you know that Y = $54,000 / .25, then the third quarter earnings are equal to:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( ".38 * ($54,000/.25) which becomes (.38/.25) * ($54,000) which becomes 1.52 * $54,000 which becomes $82,080.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Third quarter earnings are $82,080.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "You get the same answer either way.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |