document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=126672>Question 126672</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Can someone please try and solve this by 11:59pm TONIGHT!!!  Or I will not receive credit at all even for trying and still getting the wrong answer!!!I can't figure this out, my friend and both got 6.88 years for part B. But my instructor says its incorrect. THANKS SO MUCH!!<BR>\n" );
document.write( "A) If a bank compounds continuously, then the formula used is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=Pe%5Ert ALIGN=MIDDLE  ALT=\"A=Pe%5Ert\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "where e is a constant and equals approximately 2.7183.<BR>\n" );
document.write( "Calculate A with continuous compounding. Round your answer to the hundredth's place. <BR>\n" );
document.write( "Answer: <BR>\n" );
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document.write( "B) A commonly asked question is, “How long will it take to double my money?” At 8% interest rate and continuous compounding, what is the answer? Round your answer to the hundredth's place. <BR>\n" );
document.write( "Answer: <BR>\n" );
document.write( "Show work in this space: <BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #92799 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=92799\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <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( "We want to double the amount represented by P, so A needs to equal 2P\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2P=Pe%5E%28rt%29 ALIGN=MIDDLE  ALT=\"2P=Pe%5E%28rt%29\"   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%28rt%29=2 ALIGN=MIDDLE  ALT=\"e%5E%28rt%29=2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now, take the natural log of both sides:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%28e%2Ce%5E%28rt%29%29=log%28e%2C2%29 ALIGN=MIDDLE  ALT=\"log%28e%2Ce%5E%28rt%29%29=log%28e%2C2%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=rt%2Alog%28e%2Ce%29=log%28e%2C2%29 ALIGN=MIDDLE  ALT=\"rt%2Alog%28e%2Ce%29=log%28e%2C2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, but <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%28e%2Ce%29=1 ALIGN=MIDDLE  ALT=\"log%28e%2Ce%29=1\"   DISABLED_style= \"max-width:90%; height:auto;\" > so,\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=rt=log%28e%2C2%29 ALIGN=MIDDLE  ALT=\"rt=log%28e%2C2%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=log%28e%2C2%29%2Fr ALIGN=MIDDLE  ALT=\"t=log%28e%2C2%29%2Fr\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "For a rate of 8% (0.08), the calculator says:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t=8.66 ALIGN=MIDDLE  ALT=\"t=8.66\"   DISABLED_style= \"max-width:90%; height:auto;\" > years.\r<BR>\n" );
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document.write( "Sanity check:  Use the rule of 72.  Divide 72 by the interest rate in whole numbers to get the approximate number of years for your money to double.  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=72%2F8=9 ALIGN=MIDDLE  ALT=\"72%2F8=9\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  8.66 and 9 are pretty close, so that gives me high confidence in the answer.\r<BR>\n" );
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