document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=782512>Question 782512</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If the value of land in an area is increasing 9 percent a year, how long will it take for property values to double? and if its 5.5 percent and 2.75 what would be the answers? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #476409 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=476409\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If the value of land in an area is increasing 9 percent a year, how long will it take for property values to double? and if its 5.5 percent and 2.75 what would be the answers?<BR>\n" );
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document.write( "Assuming the value is compounded you get:<BR>\n" );
document.write( "A(t) = Ao*(1+(r/n))^(nt)<BR>\n" );
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document.write( "Solve (1+(r/n))^(nt) = 2 for each of the rates<BR>\n" );
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document.write( "For 9%::: (1+ 0.09)^t = 2<BR>\n" );
document.write( "t = ln(2)/ln(1.09) = 8 years when rounded down.<BR>\n" );
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document.write( "For5.5%:: (1 + 0.055/1)^(1*t) = 2<BR>\n" );
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document.write( "1.055)^t = 2<BR>\n" );
document.write( "t = ln(2)/ln(1.055) = 13 years when rounded up<BR>\n" );
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document.write( "For 2.75%::(1.0275)^t = 2<BR>\n" );
document.write( "t = ln(2)/ln(1.0275) = 26 years when rounded up<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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document.write( " </SPAN>\n" );
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