document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=573760>Question 573760</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please Help.  I am stuck on how to write out this problem.\r<BR>\n" );
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document.write( "If $ 2500 is invested in an account that pays interest compounded continuously, how long will it take to grow to $ 5000 at 4%? Round to the nearest tenth </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #368905 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=368905\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If $ 2500 is invested in an account that pays interest compounded continuously, how long will it take to grow to $ 5000 at 4%?<BR>\n" );
document.write( " Round to the nearest tenth<BR>\n" );
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document.write( "The continuous compound interest formula: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+=+P%2Ae%5E%28rt%29 ALIGN=MIDDLE  ALT=\"A+=+P%2Ae%5E%28rt%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, where<BR>\n" );
document.write( "A = amt after t time ($5000)<BR>\n" );
document.write( "P = initial principal ($2500)<BR>\n" );
document.write( "r = interest rate in decimal form (.04)<BR>\n" );
document.write( "t = time in yrs<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2500%2Ae%5E%28.04t%29+=+5000 ALIGN=MIDDLE  ALT=\"2500%2Ae%5E%28.04t%29+=+5000\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "divide both sides by 2500<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=e%5E%28.04t%29+=+5000%2F2500 ALIGN=MIDDLE  ALT=\"e%5E%28.04t%29+=+5000%2F2500\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=e%5E%28.04t%29 ALIGN=MIDDLE  ALT=\"e%5E%28.04t%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 2<BR>\n" );
document.write( "use natural logs here<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%28e%5E%28.04t%29%29 ALIGN=MIDDLE  ALT=\"ln%28e%5E%28.04t%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = ln(2)<BR>\n" );
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document.write( "The log equiv of exponents<BR>\n" );
document.write( ".04t*ln(e)= ln(2)<BR>\n" );
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document.write( "the ln of e = 1, find ln of 2; therefore we have<BR>\n" );
document.write( ".04t = .693<BR>\n" );
document.write( "t = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=.693%2F.04 ALIGN=MIDDLE  ALT=\".693%2F.04\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "t = 17.325 ~ 17.3 yrs<BR>\n" );
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document.write( "Check this on your calc, enter: 2500*e^(.04*17.325); results: 4999.3 ~ 5000<BR>\n" );
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