document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=202319>Question 202319</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How long would it take a $3000 investment to double if it is invested at 7% compounded semiannually. Rounded to the nearest tenth of a year. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #152562 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=152562\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  How long would it take a $3000 investment to double if it is invested at 7% compounded semiannually. Rounded to the nearest tenth of a year.<BR>\n" );
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document.write( "A(t) = P(1+(r/n))^(nt)<BR>\n" );
document.write( "6000 = 3000(1+(0.07/2))^(2t)<BR>\n" );
document.write( "2 = (1.035)^2t<BR>\n" );
document.write( "(2t)log(1.035) = log(2)<BR>\n" );
document.write( "2t = 20.1488<BR>\n" );
document.write( "t = 10.07 years<BR>\n" );
document.write( "======================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );