document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=255240>Question 255240</A>: <I><SPAN STYLE=\"word-break: break-all;\"> i need help with setting up this problem because im not sure how:                a home owner is selling her house. she must pay 7% of the selling price to her real estate agent after the house is sold define a variable and write and solve an inequality to find what the selling price of her house must be to make at least 140,000$ round to nearest dollar.   -thank you<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #187523 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=187523\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let x = selling price of house.\r<BR>\n" );
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document.write( "she must pay .07*x to the real estate agent.\r<BR>\n" );
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document.write( "she wants to make $140,000 after she had paid the real estate agent.\r<BR>\n" );
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document.write( "equation is:\r<BR>\n" );
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document.write( "x - .07*x = 140000\r<BR>\n" );
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document.write( "this becomes x * (1-.07) = 140000\r<BR>\n" );
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document.write( "this becomes x * .93 = 140000\r<BR>\n" );
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document.write( "divide both sides of this equation by .93 to get:\r<BR>\n" );
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document.write( "x = 140000 / .93 = 150537.6344\r<BR>\n" );
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document.write( "if she sells the house for that price, then the broker gets:\r<BR>\n" );
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document.write( ".07*150537.6344 = 10537.63441\r<BR>\n" );
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document.write( "selling price is 150537.6344<BR>\n" );
document.write( "broker's commission is 10537.63441\r<BR>\n" );
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document.write( "150537.6344 - 10537.63441 = 140000.\r<BR>\n" );
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document.write( "your answer is:\r<BR>\n" );
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document.write( "she must sell the house for $150,537 in order to make $140,000, assuming the real estate agent gets 7% of the selling price.\r<BR>\n" );
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