document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=334509>Question 334509</A>: <I><SPAN STYLE=\"word-break: break-all;\">  determine the unknown quantities and represent these with appropriate variables.<BR>\n" );
document.write( " determine the equations of the linear system that models the problem and solve.\r<BR>\n" );
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document.write( "Monique is starting her own on-line business selling jewellery that she makes. It cost her $3000 to buy a new computer, and monthly expenses for Internet service and materials average about $175 per month. If her revenue for each month averages about $420, how long will it be before she starts to turn a profit?\r<BR>\n" );
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document.write( "thankyou </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #239696 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=239696\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Garamond\" size=\"+2\">\r<BR>\n" );
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document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large x\"> represent the number of months that she has been in business.\r<BR>\n" );
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document.write( "Since it costs her $175 per month, but she has $420 revenue per month, her net income is $245.  So her profit, after <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large x\"> months is <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large 245x\"> from which you need to subtract the initial $3000 expense.  We want this to be greater than or equal to zero, so:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ 245x\ -\ 3000\ \geq\ 0\">\r<BR>\n" );
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document.write( "Just solve for <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large x\"> and then select the next higher integer, presuming that she accounts for a given month at the end of that month.\r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi} + 1 = 0\"><BR>\n" );
document.write( "My calculator said it, I believe it, that settles it<BR>\n" );
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