document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1021071>Question 1021071</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A $100,000 house appreciates at a rate of $3500 a year.   <BR>\n" );
document.write( "a.Find the equation that models the value of the house in y dollars after x years. <BR>\n" );
document.write( "b.Find the value of the house in 12 years. <BR>\n" );
document.write( "c.How many years from now will the value of the house be $124,500? \r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #636917 by </B><A HREF=/tutors/aboutme.mpl?userid=Cromlix><B>Cromlix(4381)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Cromlix><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=Cromlix><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=636917\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Hi there,<BR>\n" );
document.write( "3500/100,000 x 100 = 3.5%<BR>\n" );
document.write( "3.5% appreciation = 100 + 3.5<BR>\n" );
document.write( "= 103.5% = 1.035/100 = 1.035<BR>\n" );
document.write( "a) y x 1.035^x<BR>\n" );
document.write( "b) $100,000 x 1.035^12<BR>\n" );
document.write( "   $151,106.87.<BR>\n" );
document.write( "c) $124,500 = 100,000 x 1.035^x<BR>\n" );
document.write( "124,500/100,000 = 1.035^x<BR>\n" );
document.write( "1.245 = 1.035^x<BR>\n" );
document.write( "log 1.245 = x log1.035<BR>\n" );
document.write( "x = log 1.245/log 1.035<BR>\n" );
document.write( "x = 6.37 years<BR>\n" );
document.write( "Hope this helps :-) </SPAN>\n" );
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