document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=149823>Question 149823</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0321356918/algebrahomeworkh>College Algebra</A><BR>\n" );
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document.write( "Hello,<BR>\n" );
document.write( "Can someone please help me with this math problem it is from the textbook College Algebra.\r<BR>\n" );
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document.write( "i)Problem: The level of a prescription drug in the human body over time can be found using the formula:<BR>\n" );
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document.write( "  L =     D<BR>\n" );
document.write( "      _____________<BR>\n" );
document.write( "      1 - (1/2)^n/h\r<BR>\n" );
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document.write( "where D is the amount taken every n hours and H is the drug’s half-life in hours.\r<BR>\n" );
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document.write( "(1)   If 2.5 milligrams of Lorazepam with a half-life of 14 hours is taken every 24 hours, then to what level does the drug build up over time?\r<BR>\n" );
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document.write( "(2)   If a doctor wants the level of Lorazepam to build up to a level of 5.58 milligrams in a patient taking 2.5 milligram doses, then how often should the doses be taken?\r<BR>\n" );
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document.write( "(3)   What is the difference between taking 2.5 milligrams of Lorazepam every 12 hours and taking 5 milligrams every 24 hours?  \r<BR>\n" );
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document.write( "Thank you,<BR>\n" );
document.write( "Droxygirl1001<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 #109943 by </B><A HREF=/tutors/aboutme.mpl?userid=vleith><B>vleith(2983)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=vleith><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=109943\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L+=+D%2F%281-%280.5%29%5E%28n%2Fh%29%29 ALIGN=MIDDLE  ALT=\"L+=+D%2F%281-%280.5%29%5E%28n%2Fh%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "where D is the amount taken every n hours and H is the drug’s half-life in hours.<BR>\n" );
document.write( "(1) If 2.5 milligrams of Lorazepam with a half-life of 14 hours is taken every 24 hours, then to what level does the drug build up over time?<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L+=+D%2F%281-%280.5%29%5E%28n%2Fh%29%29 ALIGN=MIDDLE  ALT=\"L+=+D%2F%281-%280.5%29%5E%28n%2Fh%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L+=+2.5mg%2F%281-%280.5%29%5E%2824%2F14%29%29 ALIGN=MIDDLE  ALT=\"L+=+2.5mg%2F%281-%280.5%29%5E%2824%2F14%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L+=+2.5mg%2F%281-%280.5%29%5E%281.714%29%29 ALIGN=MIDDLE  ALT=\"L+=+2.5mg%2F%281-%280.5%29%5E%281.714%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L+=+2.5mg%2F%281-0.3048%29 ALIGN=MIDDLE  ALT=\"L+=+2.5mg%2F%281-0.3048%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L+=+2.5mg%2F%280.6952%29 ALIGN=MIDDLE  ALT=\"L+=+2.5mg%2F%280.6952%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L+=+3.59mg ALIGN=MIDDLE  ALT=\"L+=+3.59mg\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "(2)   If a doctor wants the level of Lorazepam to build up to a level of 5.58 milligrams in a patient taking 2.5 milligram doses, then how often should the doses be taken?<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L+=+D%2F%281-%280.5%29%5E%28n%2Fh%29%29 ALIGN=MIDDLE  ALT=\"L+=+D%2F%281-%280.5%29%5E%28n%2Fh%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5.58mg+=+2.5mg%2F%281-%280.5%29%5E%28n%2F14%29%29 ALIGN=MIDDLE  ALT=\"5.58mg+=+2.5mg%2F%281-%280.5%29%5E%28n%2F14%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281-%280.5%29%5E%28n%2F14%29%29+=+2.5%2F5.58 ALIGN=MIDDLE  ALT=\"%281-%280.5%29%5E%28n%2F14%29%29+=+2.5%2F5.58\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-%280.5%29%5E%28n%2F14%29=+-0.552 ALIGN=MIDDLE  ALT=\"-%280.5%29%5E%28n%2F14%29=+-0.552\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%28%280.5%29%5E%28n%2F14%29%29+=+log%280.552%29 ALIGN=MIDDLE  ALT=\"log%28%280.5%29%5E%28n%2F14%29%29+=+log%280.552%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28n%2F14%29+%2A+log%280.5%29+=+-0.258 ALIGN=MIDDLE  ALT=\"%28n%2F14%29+%2A+log%280.5%29+=+-0.258\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28n%2F14%29+%2A+%28-0.301%29+=+-0.258 ALIGN=MIDDLE  ALT=\"%28n%2F14%29+%2A+%28-0.301%29+=+-0.258\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n%2F14+=+0.857 ALIGN=MIDDLE  ALT=\"n%2F14+=+0.857\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n+=+0.857%2A14 ALIGN=MIDDLE  ALT=\"n+=+0.857%2A14\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n+=+12 ALIGN=MIDDLE  ALT=\"n+=+12\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "(3)   What is the difference between taking 2.5 milligrams of Lorazepam every 12 hours and taking 5 milligrams every 24 hours? <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L+=+D%2F%281-%280.5%29%5E%28n%2Fh%29%29 ALIGN=MIDDLE  ALT=\"L+=+D%2F%281-%280.5%29%5E%28n%2Fh%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L+=+2.5mg%2F%281-%280.5%29%5E%2812%2F14%29%29 ALIGN=MIDDLE  ALT=\"L+=+2.5mg%2F%281-%280.5%29%5E%2812%2F14%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L+=+5.58mg ALIGN=MIDDLE  ALT=\"L+=+5.58mg\"   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=L+=+D%2F%281-%280.5%29%5E%28n%2Fh%29%29 ALIGN=MIDDLE  ALT=\"L+=+D%2F%281-%280.5%29%5E%28n%2Fh%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L+=+5%2F%281-%280.5%29%5E%2824%2F14%29%29 ALIGN=MIDDLE  ALT=\"L+=+5%2F%281-%280.5%29%5E%2824%2F14%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L+=5mg%2F%280.6952%29 ALIGN=MIDDLE  ALT=\"L+=5mg%2F%280.6952%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L+=+7.19mg ALIGN=MIDDLE  ALT=\"L+=+7.19mg\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Big difference\r<BR>\n" );
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