document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=394562>Question 394562</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A furniture store is closing out its business. Each week the owner lowers prices by 25%. After how many weeks will the sale price of a $500 item drop below $100? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #279954 by </B><A HREF=/tutors/aboutme.mpl?userid=robertb><B>robertb(5830)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=robertb><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=robertb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=279954\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let w = # weeks <BR>\n" );
document.write( "Then after w weeks , the price becomes <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=500%2A0.75%5Ew ALIGN=MIDDLE  ALT=\"500%2A0.75%5Ew\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "Then we want <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=100+%3C+500%2A%280.75%29%5Ew ALIGN=MIDDLE  ALT=\"100+%3C+500%2A%280.75%29%5Ew\"   DISABLED_style= \"max-width:90%; height:auto;\" >, or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.20+%3C+0.75%5Ew ALIGN=MIDDLE  ALT=\"0.20+%3C+0.75%5Ew\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "If w = 5, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.75%5E5+=+0.2373 ALIGN=MIDDLE  ALT=\"0.75%5E5+=+0.2373\"   DISABLED_style= \"max-width:90%; height:auto;\" > to four decimal places.<BR>\n" );
document.write( "If w = 6, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.75%5E6+=+0.187 ALIGN=MIDDLE  ALT=\"0.75%5E6+=+0.187\"   DISABLED_style= \"max-width:90%; height:auto;\" > to 3 decimal places.<BR>\n" );
document.write( "So AFTER 6 weeks, the price should be less than $100. \r<BR>\n" );
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document.write( "Though technically speaking  it will only take <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln0.2%2Fln0.75+=+5.59 ALIGN=MIDDLE  ALT=\"ln0.2%2Fln0.75+=+5.59\"   DISABLED_style= \"max-width:90%; height:auto;\" > weeks (or after 5 weeks and Thursday of the new week) for the price to be lower than $100. </SPAN>\n" );
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