document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1172508>Question 1172508</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The population P of a certain town in time t is modulled by the equation <BR>\n" );
document.write( " p=Ax10^kt,t=greater than or equal to zero where A and K are non zero constants.When t=3,p=1900 and when t=6,p=38000.Find the value of A and K. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #797564 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=797564\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The population P of a certain town in time t is modulled by the equation<BR>\n" );
document.write( "p=Ax10^kt, t=greater than or equal to zero where A and K are non zero constants.<BR>\n" );
document.write( "When t=3,p=1900 and when t=6,p=38000.<BR>\n" );
document.write( "Find the value of A and K.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%2810%5E%286k%29%29+=+38000 ALIGN=MIDDLE  ALT=\"A%2810%5E%286k%29%29+=+38000\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "A = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=38000%2F10%5E%286k%29 ALIGN=MIDDLE  ALT=\"38000%2F10%5E%286k%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%2810%5E%283k%29%29+=+1900 ALIGN=MIDDLE  ALT=\"A%2810%5E%283k%29%29+=+1900\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "A = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1900%2F10%5E%283k%29 ALIGN=MIDDLE  ALT=\"1900%2F10%5E%283k%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "A=A therefore<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=38000%2F10%5E%286k%29 ALIGN=MIDDLE  ALT=\"38000%2F10%5E%286k%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1900%2F10%5E%283k%29 ALIGN=MIDDLE  ALT=\"1900%2F10%5E%283k%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "cross multiply<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=38000%2810%5E%283k%29%29+=+1900%2810%5E%286k%29%29 ALIGN=MIDDLE  ALT=\"38000%2810%5E%283k%29%29+=+1900%2810%5E%286k%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=%2810%5E%286k%29%29%2F%2810%5E%283k%29%29 ALIGN=MIDDLE  ALT=\"%2810%5E%286k%29%29%2F%2810%5E%283k%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=38000%2F1900 ALIGN=MIDDLE  ALT=\"38000%2F1900\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%5E%286k-3k%29 ALIGN=MIDDLE  ALT=\"10%5E%286k-3k%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 20<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%5E%283k%29 ALIGN=MIDDLE  ALT=\"10%5E%283k%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 20 <BR>\n" );
document.write( "3k = log(20), (log of 10 is 1)<BR>\n" );
document.write( "3k = 1.301<BR>\n" );
document.write( "k = 1.301/3<BR>\n" );
document.write( "k = .43367<BR>\n" );
document.write( "find A<BR>\n" );
document.write( "A(10^(1.301)) = 1900<BR>\n" );
document.write( "A = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1900%2F10%5E1.301 ALIGN=MIDDLE  ALT=\"1900%2F10%5E1.301\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "A = 95<BR>\n" );
document.write( ";<BR>\n" );
document.write( "A = 95, k = .43367<BR>\n" );
document.write( ":<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Check this<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=95%2810%5E%286%2A.43367%29%29 ALIGN=MIDDLE  ALT=\"95%2810%5E%286%2A.43367%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 37996.5 ~ 38000 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );