document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1188016>Question 1188016</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Assuming that Switzerland's population is growing exponentially at a continuous rate of 0.19 percent a year and that the 1988 population was 6.7 million, write an expression for the population as a function of time in years. (Let t=0 in 1988.)\r<BR>\n" );
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document.write( "P= <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 #819066 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=819066\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "Continuous exponential growth is represented by a function of the form<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=ae%5E%28rt%29 ALIGN=MIDDLE  ALT=\"y=ae%5E%28rt%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "where<BR>\n" );
document.write( "a is the starting value (at t=0)<BR>\n" );
document.write( "r is the growth rate as a decimal<BR>\n" );
document.write( "t is the number of years<br><BR>\n" );
document.write( "Plug in the given numbers:<BR>\n" );
document.write( "a=6.7  (in millions)<BR>\n" );
document.write( "r=0.19% = 0.0019<br><BR>\n" );
document.write( "ANSWER: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=6.7e%5E%280.0019t%29 ALIGN=MIDDLE  ALT=\"y=6.7e%5E%280.0019t%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
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