document.write( "Question 266270: Michelle receives a 10 percent raise every year. Her salary after four such raises
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document.write( "has gone up by what percent?\r
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document.write( "(A) between 30 and 35 percent (B) between 35 and 40 percent
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document.write( "(C) between 40 and 45 percent (D) between 45 and 50 percent
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document.write( "(E) none of these\r
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Algebra.Com's Answer #195654 by stanbon(75887) ![]() You can put this solution on YOUR website! Michelle receives a 10 percent raise every year. \n" ); document.write( "Her salary after four such raises has gone up by what percent? \n" ); document.write( "---- \n" ); document.write( "If she starts at salary = x \n" ); document.write( "1st raise she has x + 0.1x = (1.1)x \n" ); document.write( "2nd raise she has (1.1)x + 0.1(1.1x) = (1.1)x(1.1) = (1.1)^2 x \n" ); document.write( "3rd raise she has (1.1)^3 x \n" ); document.write( "4th raise she has (1.1)^4x \n" ); document.write( "---- \n" ); document.write( "1.1^4 = 1.4641 \n" ); document.write( "1.4641x = x + 0.4641x \n" ); document.write( "% increase = 46.41% \n" ); document.write( "=========================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H.\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( "(A) between 30 and 35 percent (B) between 35 and 40 percent \n" ); document.write( "(C) between 40 and 45 percent (D) between 45 and 50 percent \n" ); document.write( "(E) none of these \n" ); document.write( " \n" ); document.write( " |