document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=826467>Question 826467</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 5.	Modeling Population: The population of the world has grown rapidly during the past century. As a result, heavy demands have been made on the world's resources. Exponential functions and equations are often used to model this rapid growth, and logarithms are used to model slower growth. The formula  models the population of a US state, A, in millions, t years after 2000.<BR>\n" );
document.write( "a.	What was the population in 2000?<BR>\n" );
document.write( "b.	When will the population of the state reach 23.3 million?\r<BR>\n" );
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document.write( "The population in the year 2000 of state \"A,\" according to the equation, was: \r<BR>\n" );
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document.write( "16.6e^0.547(0), or 16.6e^0, or 16.6 million. \r<BR>\n" );
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document.write( "Answer Part a: <BR>\n" );
document.write( "16.6 million \r<BR>\n" );
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document.write( "could you please help solve for part b please </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #498086 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39623)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=498086\">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=A=16.6%2Ae%5E%280.547%2At%29 ALIGN=MIDDLE  ALT=\"A=16.6%2Ae%5E%280.547%2At%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, for t years after year 2000, A in millions is the population at time t, 16.6 is population in millions at time t=0.\r<BR>\n" );
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document.write( "Part b:  When will A=23.3 ?<BR>\n" );
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document.write( "Solve the equation for t, and then just substitute A=23.3.<BR>\n" );
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document.write( "Take natural logarithm of both sides;<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%28A%29=ln%2816.6e%5E%280.547t%29%29 ALIGN=MIDDLE  ALT=\"ln%28A%29=ln%2816.6e%5E%280.547t%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=ln%28A%29=ln%2816.6%29%2Bln%28e%5E%280.547t%29%29 ALIGN=MIDDLE  ALT=\"ln%28A%29=ln%2816.6%29%2Bln%28e%5E%280.547t%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=ln%28A%29=ln%2816.6%29%2B0.547t%2Aln%28e%29 ALIGN=MIDDLE  ALT=\"ln%28A%29=ln%2816.6%29%2B0.547t%2Aln%28e%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "DO you know what to do from here? </SPAN>\n" );
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