document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=376325>Question 376325</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If 500 milligrams of anestesia are injected into a patient prior to surgery and the amout A in milligrams in the patient after t hours is given by the equation A=500e-0.165t the -0.165t is suppose to be up like a square on 500e but didn't know how to put it up there. \r<BR>\n" );
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document.write( "a) the amount of anestesia left after 5 hours.\r<BR>\n" );
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document.write( "b) when the amount of anesthesia remaining in the patient will be 100mg.\r<BR>\n" );
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document.write( "Can you help ! I'm suppose to do it on the calulator but can't figure it out.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #267743 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=267743\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=500e%5E%28-0.165t%29 ALIGN=MIDDLE  ALT=\"A=500e%5E%28-0.165t%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given equation.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=500e%5E%28-0.165%2A5%29 ALIGN=MIDDLE  ALT=\"A=500e%5E%28-0.165%2A5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Plug in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t=5 ALIGN=MIDDLE  ALT=\"t=5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=500e%5E%28-0.825%29 ALIGN=MIDDLE  ALT=\"A=500e%5E%28-0.825%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply -0.165 and 5 to get -0.825\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=500%280.43823499246482%29 ALIGN=MIDDLE  ALT=\"A=500%280.43823499246482%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Evaluate <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=e%5E%28-0.825%29 ALIGN=MIDDLE  ALT=\"e%5E%28-0.825%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > to approximately get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.43823499246482 ALIGN=MIDDLE  ALT=\"0.43823499246482\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=219.11749623241 ALIGN=MIDDLE  ALT=\"A=219.11749623241\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply\r<BR>\n" );
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document.write( "So approximately 219.117 mg (rounded to the nearest thousandth) will be left after 5 hrs.\r<BR>\n" );
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document.write( "b)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=500e%5E%28-0.165t%29 ALIGN=MIDDLE  ALT=\"A=500e%5E%28-0.165t%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given equation.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=100=500e%5E%28-0.165t%29 ALIGN=MIDDLE  ALT=\"100=500e%5E%28-0.165t%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Plug in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=100 ALIGN=MIDDLE  ALT=\"A=100\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=100%2F500=e%5E%28-0.165t%29 ALIGN=MIDDLE  ALT=\"100%2F500=e%5E%28-0.165t%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by 500.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.2=e%5E%28-0.165t%29 ALIGN=MIDDLE  ALT=\"0.2=e%5E%28-0.165t%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%280.2%29=ln%28e%5E%28-0.165t%29%29 ALIGN=MIDDLE  ALT=\"ln%280.2%29=ln%28e%5E%28-0.165t%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Take the natural log of both sides.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%280.2%29=-0.165t%2Aln%28e%29 ALIGN=MIDDLE  ALT=\"ln%280.2%29=-0.165t%2Aln%28e%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Pull down the exponent.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%280.2%29=-0.165t%2A1 ALIGN=MIDDLE  ALT=\"ln%280.2%29=-0.165t%2A1\"   DISABLED_style= \"max-width:90%; height:auto;\" > Evaluate the natural log of 'e' to get 1.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%280.2%29=-0.165t ALIGN=MIDDLE  ALT=\"ln%280.2%29=-0.165t\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28ln%280.2%29%29%2F%28-0.165%29=t ALIGN=MIDDLE  ALT=\"%28ln%280.2%29%29%2F%28-0.165%29=t\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by -0.165 to isolate 't'.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9.75416916626728=t ALIGN=MIDDLE  ALT=\"9.75416916626728=t\"   DISABLED_style= \"max-width:90%; height:auto;\" > Evaluate the left side with a calculator.\r<BR>\n" );
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document.write( "So the solution is approximately <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t=9.754 ALIGN=MIDDLE  ALT=\"t=9.754\"   DISABLED_style= \"max-width:90%; height:auto;\" > (rounded to the nearest thousandth)\r<BR>\n" );
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document.write( "So in about 9.754 hours, there will be 100 mg left over.\r<BR>\n" );
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document.write( "If you need more help, email me at <a  rel=nofollow HREF=\"mailto:jim_thompson5910@hotmail.com?Subject=Algebra%20Help\">jim_thompson5910@hotmail.com</a>\r<BR>\n" );
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document.write( "Also, feel free to check out my <a  rel=nofollow HREF=\"http://www.freewebs.com/jimthompson5910/home.html\">tutoring website</a>\r<BR>\n" );
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document.write( "Jim </SPAN>\n" );
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