document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1198964>Question 1198964</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Kyle Invests in an account earning 4.75% interest compounded continuously. How long will it take to double his investment? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #833132 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=833132\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \r<BR>\n" );
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document.write( " The continuous compounding interest formula from Financial Mathematics is given as follows:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=Pe%5E%28rt%29 ALIGN=MIDDLE  ALT=\"A=Pe%5E%28rt%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r=4.75 ALIGN=MIDDLE  ALT=\"r=4.75\"   DISABLED_style= \"max-width:90%; height:auto;\" >% =<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.0475 ALIGN=MIDDLE  ALT=\"0.0475\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "to double his investment: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=2P ALIGN=MIDDLE  ALT=\"A=2P\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2P=Pe%5E%280.0475t%29 ALIGN=MIDDLE  ALT=\"2P=Pe%5E%280.0475t%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.........simplify\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2=e%5E%280.0475t%29 ALIGN=MIDDLE  ALT=\"2=e%5E%280.0475t%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >........take natural logarithm of both sides\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%282%29=ln%28e%5E%280.0475t%29%29 ALIGN=MIDDLE  ALT=\"ln%282%29=ln%28e%5E%280.0475t%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%282%29=%280.0475t%29ln%28e%29 ALIGN=MIDDLE  ALT=\"ln%282%29=%280.0475t%29ln%28e%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.0475t=ln%282%29%2Fln%28e%29 ALIGN=MIDDLE  ALT=\"0.0475t=ln%282%29%2Fln%28e%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >..........<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%28e%29=1 ALIGN=MIDDLE  ALT=\"ln%28e%29=1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.0475t=ln%282%29 ALIGN=MIDDLE  ALT=\"0.0475t=ln%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t=ln%282%29%2F0.0475 ALIGN=MIDDLE  ALT=\"t=ln%282%29%2F0.0475\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t=14.6 ALIGN=MIDDLE  ALT=\"t=14.6\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Answer: Kyle will double his investment in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=14.6 ALIGN=MIDDLE  ALT=\"14.6\"   DISABLED_style= \"max-width:90%; height:auto;\" > years.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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