document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1034598>Question 1034598</A>: <I><SPAN STYLE=\"word-break: break-all;\"> you have $75 and invest it into an account that gives 2.5% annual interest and compounds continuously. How much longer would you invest if you wanted to quadruple your money instead of doubling it?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #649244 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=649244\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> you have $75 and invest it into an account that gives 2.5% annual interest and compounds continuously. How much longer would you invest if you wanted to quadruple your money instead of doubling it? <BR>\n" );
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document.write( "A(t) = P*e^(r*t)<BR>\n" );
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document.write( "4*75 = 75*e^(0.025t)<BR>\n" );
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document.write( "e^(0.025t) = 4<BR>\n" );
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document.write( "0.025t = ln(4)<BR>\n" );
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document.write( "t = ln(4)/0.025 = 55.45 years<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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