document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1204990>Question 1204990</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Convert the equation f(t) = 116(0.69)^t to the form f(t) = ae^kt\r<BR>\n" );
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document.write( "Find a = ? and k = ?\r<BR>\n" );
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document.write( "Round off to three 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 #841568 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=841568\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28t%29+=+116%280.69%29%5Et ALIGN=MIDDLE  ALT=\"f%28t%29+=+116%280.69%29%5Et\"   DISABLED_style= \"max-width:90%; height:auto;\" >  to  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28t%29+=+ae%5E%28kt%29 ALIGN=MIDDLE  ALT=\"f%28t%29+=+ae%5E%28kt%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%2A+e%5E%28k+t%29+=+116%2A+0.69%5Et ALIGN=MIDDLE  ALT=\"a%2A+e%5E%28k+t%29+=+116%2A+0.69%5Et\"   DISABLED_style= \"max-width:90%; height:auto;\" >....=><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=116 ALIGN=MIDDLE  ALT=\"a=116\"   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=116%2A+e%5E%28k+t%29+=+116%2A+0.69%5Et ALIGN=MIDDLE  ALT=\"116%2A+e%5E%28k+t%29+=+116%2A+0.69%5Et\"   DISABLED_style= \"max-width:90%; height:auto;\" >.....take log of both sides\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%28116+%2Ae%5E%28k+%2At%29%29+=+ln%28116%2A+0.69%5Et%29 ALIGN=MIDDLE  ALT=\"ln%28116+%2Ae%5E%28k+%2At%29%29+=+ln%28116%2A+0.69%5Et%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=ln%28116%29%2Bln%28+e%5E%28k+%2At%29%29+=+ln%28116%29%2Bln%28+0.69%5Et%29 ALIGN=MIDDLE  ALT=\"ln%28116%29%2Bln%28+e%5E%28k+%2At%29%29+=+ln%28116%29%2Bln%28+0.69%5Et%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=%28k%2A+t%29ln%28+e%29+=+t%2Aln%28+0.69%29 ALIGN=MIDDLE  ALT=\"%28k%2A+t%29ln%28+e%29+=+t%2Aln%28+0.69%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >......substituting <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%28e%29=1 ALIGN=MIDDLE  ALT=\"ln%28e%29=1\"   DISABLED_style= \"max-width:90%; height:auto;\" >, then dividing by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t ALIGN=MIDDLE  ALT=\"t\"   DISABLED_style= \"max-width:90%; height:auto;\" >, we have\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k+=+ln%28+0.69%29 ALIGN=MIDDLE  ALT=\"k+=+ln%28+0.69%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+=+116 ALIGN=MIDDLE  ALT=\"a+=+116\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k+=+ln%28+0.69%29=-0.371 ALIGN=MIDDLE  ALT=\"k+=+ln%28+0.69%29=-0.371\"   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=f%28t%29+=+116e%5E%28-0.371t%29 ALIGN=MIDDLE  ALT=\"f%28t%29+=+116e%5E%28-0.371t%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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