document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=42303>Question 42303</A>: <I><SPAN STYLE=\"word-break: break-all;\"> At 9:00am on the super sale day at Clothing city, Amy saw the coat she wants priced at $65.00. Amy only has $65.00. Every hour the price on the coats will be reduced 10% from the previous hour's price. \r<BR>\n" );
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document.write( "1. At what time will Amy be able to buy the coat for $46.00 or less, provided the coat is still avaliable?\r<BR>\n" );
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document.write( "2. Explain in detail how you found your anwser. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #27510 by </B><A HREF=/tutors/aboutme.mpl?userid=psbhowmick><B>psbhowmick(878)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=psbhowmick><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=psbhowmick><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=27510\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> At 9 am the price is $65.00.\r<BR>\n" );
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document.write( "Each hour the price decreases by 10% of its value in the previous hour.\r<BR>\n" );
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document.write( "After <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=red%281%29 ALIGN=MIDDLE  ALT=\"red%281%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > hr the price will be $(65.00 - 0.1x65.00) = $(<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.9%5E%28red%281%29%29 ALIGN=MIDDLE  ALT=\"0.9%5E%28red%281%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >x65.00).\r<BR>\n" );
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document.write( "So after 2 hours the price will be 10% less than the price after 1 hour.<BR>\n" );
document.write( "After <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=red%282%29 ALIGN=MIDDLE  ALT=\"red%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > hrs the price will be $(0.9x65.00 - 0.1x0.9x65.00) = $(<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.9%5E%28red%282%29%29 ALIGN=MIDDLE  ALT=\"0.9%5E%28red%282%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >x65.00).\r<BR>\n" );
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document.write( "Thus, after <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=red%283%29 ALIGN=MIDDLE  ALT=\"red%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > hrs the price will be $(<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.9%5E2 ALIGN=MIDDLE  ALT=\"0.9%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >x65.00 - 0.1x<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.9x0%5E2 ALIGN=MIDDLE  ALT=\"0.9x0%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >.1x65.00) = $(<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.9%5E%28red%283%29%29 ALIGN=MIDDLE  ALT=\"0.9%5E%28red%283%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >x65.00).\r<BR>\n" );
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document.write( "Similarly, after <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=red%28n%29 ALIGN=MIDDLE  ALT=\"red%28n%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > hrs the price will be $(<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.9%5E%28red%28n%29%29 ALIGN=MIDDLE  ALT=\"0.9%5E%28red%28n%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >x65.00).\r<BR>\n" );
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document.write( "[Note the similarity between the numbers marked in red ink]\r<BR>\n" );
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document.write( "Let us assume that the price becomes $46 or less after 'n' hours from 9 am.\r<BR>\n" );
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document.write( "Then, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.9%5En ALIGN=MIDDLE  ALT=\"0.9%5En\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x65+%3C+46 ALIGN=MIDDLE  ALT=\"x65+%3C+46\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.9%5En+%3C+46%2F65 ALIGN=MIDDLE  ALT=\"0.9%5En+%3C+46%2F65\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.9%5En+%3C+0.708 ALIGN=MIDDLE  ALT=\"0.9%5En+%3C+0.708\"   DISABLED_style= \"max-width:90%; height:auto;\" > ______(1)\r<BR>\n" );
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document.write( "By trial, <BR>\n" );
document.write( "when n = 2, LHS = 0.81 > RHS<BR>\n" );
document.write( "when n = 3, LHS = 0.729 > RHS<BR>\n" );
document.write( "when n = 4, LHS = 0.6561 < RHS\r<BR>\n" );
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document.write( "These value of 'n' satisfies the inequation (1) and so Amy will be able to purchase the dress at price below $46 after 4 hrs from 9 am.<BR>\n" );
document.write( "Then the price of the dress will be $(<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.9%5E4 ALIGN=MIDDLE  ALT=\"0.9%5E4\"   DISABLED_style= \"max-width:90%; height:auto;\" >x65.00) = $42.65 (approx). </SPAN>\n" );
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