document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=83893>Question 83893</A>: <I><SPAN STYLE=\"word-break: break-all;\"> You invested $700.00 compounded continously. After 20 years you had $2838.64. What was the interest rate? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #60358 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=60358\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You invested $700.00 compounded continously. After 20 years you had $2838.64. What was the interest rate?<BR>\n" );
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document.write( "A(t)= Pe^(rt)<BR>\n" );
document.write( "2838.64 = 700e^(20r)<BR>\n" );
document.write( "e^(20r) = 4.0552<BR>\n" );
document.write( "Take the natural log of both sides to get:<BR>\n" );
document.write( "20r = ln(4.0552)<BR>\n" );
document.write( "20r = 1.4<BR>\n" );
document.write( "r = 0.07 or 7%<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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