document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=928040>Question 928040</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hey guys, I was wondering if you guys could help me or guide me thru these questions, thanks for your time. \r<BR>\n" );
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document.write( "The half-life of radioactive plutonium-238 is 87.7 years. If ten grams are present now:\r<BR>\n" );
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document.write( "a) Build an exponential function that models the amount of plutonium-238 after t years.<BR>\n" );
document.write( "b) Use your function to determine the amount of plutonium-238 remaining after 200 years. Solve this algebraically. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #563415 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=563415\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> given:\r<BR>\n" );
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document.write( "the half-life of radioactive plutonium-238 is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=87.7 ALIGN=MIDDLE  ALT=\"87.7\"   DISABLED_style= \"max-width:90%; height:auto;\" > years\r<BR>\n" );
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document.write( "and starting amount <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10gr ALIGN=MIDDLE  ALT=\"10gr\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "a) Build an exponential function that models the amount of plutonium-238 after <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t ALIGN=MIDDLE  ALT=\"t\"   DISABLED_style= \"max-width:90%; height:auto;\" > years.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=A%5Bo%5D%280.5%29%5E%28t%2F87.7+%29 ALIGN=MIDDLE  ALT=\"A=A%5Bo%5D%280.5%29%5E%28t%2F87.7+%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > ...where <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A ALIGN=MIDDLE  ALT=\"A\"   DISABLED_style= \"max-width:90%; height:auto;\" > - amount after <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t ALIGN=MIDDLE  ALT=\"t\"   DISABLED_style= \"max-width:90%; height:auto;\" > years , <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%5Bo%5D ALIGN=MIDDLE  ALT=\"A%5Bo%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > -amount started with\r<BR>\n" );
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document.write( "b) Use your function to determine the amount of plutonium-238 remaining after <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=200 ALIGN=MIDDLE  ALT=\"200\"   DISABLED_style= \"max-width:90%; height:auto;\" > years. Solve this algebraically.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%5Bo%5D=10gr ALIGN=MIDDLE  ALT=\"A%5Bo%5D=10gr\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t=200 ALIGN=MIDDLE  ALT=\"t=200\"   DISABLED_style= \"max-width:90%; height:auto;\" > years\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=10%280.5%29%5E%28%28200cross%28years%29%29%2F%2887.7cross%28years%29%29+%29 ALIGN=MIDDLE  ALT=\"A=10%280.5%29%5E%28%28200cross%28years%29%29%2F%2887.7cross%28years%29%29+%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >...since exponent is not visible here, it is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28200cross%28years%29%29%2F%2887.7cross%28years%29%29=2.280501710376283+ ALIGN=MIDDLE  ALT=\"%28200cross%28years%29%29%2F%2887.7cross%28years%29%29=2.280501710376283+\"   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=10gr%280.5%29%5E%282.280501710376283+%29+ ALIGN=MIDDLE  ALT=\"A=10gr%280.5%29%5E%282.280501710376283+%29+\"   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=10gr%280.205826%29 ALIGN=MIDDLE  ALT=\"A=10gr%280.205826%29\"   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=2.05826gr ALIGN=MIDDLE  ALT=\"A=2.05826gr\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
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