document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=23218>Question 23218</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The population of Canada is 30 million people and is growing at an annual rate of 1.4%.<BR>\n" );
document.write( "The population of Germany is 80 million people and is decreasing at an annual rate of 1.7%.<BR>\n" );
document.write( "In how many years will the population of Canada be equal to the population of Germany?<BR>\n" );
document.write( "(Use logarithms to solve the resulting equation and answer accurate to 2 decimal places.) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #11895 by </B><A HREF=/tutors/aboutme.mpl?userid=rapaljer><B>rapaljer(4671)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rapaljer><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=rapaljer><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=11895\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> WHAT A NEAT PROBLEM!!  NICE!!\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "For Canada <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=30+e%5E%28.014t%29+ ALIGN=MIDDLE  ALT=\"y=30+e%5E%28.014t%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > in millions<BR>\n" );
document.write( "For Germany <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+80+e%5E%28-.017t%29+ ALIGN=MIDDLE  ALT=\"y+=+80+e%5E%28-.017t%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > in millions\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "When will populations be equal?<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=30+e%5E%28.014t%29+=++80+e%5E%28-.017t%29+ ALIGN=MIDDLE  ALT=\"30+e%5E%28.014t%29+=++80+e%5E%28-.017t%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Divide both sides by  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=30+e%5E%28.014t%29 ALIGN=MIDDLE  ALT=\"30+e%5E%28.014t%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2830+e%5E%28.014t%29%29%2F%2830e%5E%28.014t%29%29++=++%2880+e%5E%28-.017t%29%29%2F%2830e%5E%28.014t%29%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1++=++%2880+e%5E%28-.017t%29%29%2F%28+30e%5E%28.014t%29%29+ ALIGN=MIDDLE  ALT=\"+1++=++%2880+e%5E%28-.017t%29%29%2F%28+30e%5E%28.014t%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "When you divide with the same base number, you subtract exponents:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1++=+%288%2F3%29++e%5E%28-.017t-+.014t%29+=+%288%2F3%29%2Ae%5E%28-.031t%29+ ALIGN=MIDDLE  ALT=\"1++=+%288%2F3%29++e%5E%28-.017t-+.014t%29+=+%288%2F3%29%2Ae%5E%28-.031t%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Multiply both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F8 ALIGN=MIDDLE  ALT=\"3%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F8+=+e%5E%28-.031t%29 ALIGN=MIDDLE  ALT=\"3%2F8+=+e%5E%28-.031t%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "Take the ln of each side:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%283%2F8%29+=+ln%28e%5E%28-.031t%29%29+ ALIGN=MIDDLE  ALT=\"ln%283%2F8%29+=+ln%28e%5E%28-.031t%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+%283%2F8%29+=+-.031t ALIGN=MIDDLE  ALT=\"ln+%283%2F8%29+=+-.031t\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t=+%28ln%283%2F8%29%29%2F+-.031 ALIGN=MIDDLE  ALT=\"+t=+%28ln%283%2F8%29%29%2F+-.031\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t=+31.639655 ALIGN=MIDDLE  ALT=\"t=+31.639655\"   DISABLED_style= \"max-width:90%; height:auto;\" > calculator accuracy\r<BR>\n" );
document.write( "\n" );
document.write( "Rounds off to 31.64 years.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "R^2 at SCC\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );