document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1179585>Question 1179585</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The value,$V, of a house n years after it was built is given by the formula V = 250000e^an. When n = 3, V = 350 000. Finde the initial value of this house. Find the value of a. Estimate the number of years for this house to double in value. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #809152 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20849)</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=809152\">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=V+=+250000e%5E%28an%29 ALIGN=MIDDLE  ALT=\"V+=+250000e%5E%28an%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " When <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n+=+3 ALIGN=MIDDLE  ALT=\"n+=+3\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=V+=+350000 ALIGN=MIDDLE  ALT=\"V+=+350000\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Finde the initial value of this house. Find the value of a. \r<BR>\n" );
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document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=350000=+250000e%5E%28a%2A3%29 ALIGN=MIDDLE  ALT=\"350000=+250000e%5E%28a%2A3%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=350000%2F250000=e%5E%28a%2A3%29 ALIGN=MIDDLE  ALT=\"350000%2F250000=e%5E%28a%2A3%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=7%2F5=e%5E%28a%2A3%29 ALIGN=MIDDLE  ALT=\"7%2F5=e%5E%28a%2A3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >............take ln 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%287%2F5%29=ln%28e%5E%28a%2A3%29%29 ALIGN=MIDDLE  ALT=\"ln%287%2F5%29=ln%28e%5E%28a%2A3%29%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%287%2F5%29=%28a%2A3%29ln%28e%29 ALIGN=MIDDLE  ALT=\"ln%287%2F5%29=%28a%2A3%29ln%28e%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=3a=ln%287%2F5%29%2Fln%28e%29 ALIGN=MIDDLE  ALT=\"3a=ln%287%2F5%29%2Fln%28e%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >..............ln(e)=1\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3a=ln%287%2F5%29 ALIGN=MIDDLE  ALT=\"3a=ln%287%2F5%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=%28ln%287%29-ln%285%29%29%2F3 ALIGN=MIDDLE  ALT=\"a=%28ln%287%29-ln%285%29%29%2F3\"   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=0.1122 ALIGN=MIDDLE  ALT=\"a=0.1122\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Estimate the number of years for this house to double in value.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2A350000=+250000e%5E%280.1122%2An%29 ALIGN=MIDDLE  ALT=\"2%2A350000=+250000e%5E%280.1122%2An%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=700000%2F250000=e%5E%280.1122%2An%29 ALIGN=MIDDLE  ALT=\"700000%2F250000=e%5E%280.1122%2An%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=14%2F5=e%5E%280.1122%2An%29 ALIGN=MIDDLE  ALT=\"14%2F5=e%5E%280.1122%2An%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > ...........take ln 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%2814%2F5%29=ln%28e%5E%280.1122%2An%29%29 ALIGN=MIDDLE  ALT=\"ln%2814%2F5%29=ln%28e%5E%280.1122%2An%29%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%2814%29-ln%285%29=%280.1122%2An%29ln%28e%29 ALIGN=MIDDLE  ALT=\"ln%2814%29-ln%285%29=%280.1122%2An%29ln%28e%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%282%2A7%29-ln%285%29=%280.1122%2An%29%2A1 ALIGN=MIDDLE  ALT=\"ln%282%2A7%29-ln%285%29=%280.1122%2An%29%2A1\"   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%282%29%2Bln%287%29-ln%285%29=0.1122%2An ALIGN=MIDDLE  ALT=\"ln%282%29%2Bln%287%29-ln%285%29=0.1122%2An\"   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=1.0296194171811581=0.1122%2An ALIGN=MIDDLE  ALT=\"1.0296194171811581=0.1122%2An\"   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=n=1.0296194171811581%2F0.1122 ALIGN=MIDDLE  ALT=\"n=1.0296194171811581%2F0.1122\"   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=n=9.18 ALIGN=MIDDLE  ALT=\"n=9.18\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "this house will double in value in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9.18 ALIGN=MIDDLE  ALT=\"9.18\"   DISABLED_style= \"max-width:90%; height:auto;\" > years\r<BR>\n" );
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document.write( " </SPAN>\n" );
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