document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=84045>Question 84045</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Can anyone help me with this problem? I'm in an class and running on a dealine.  I'm not very capable when it comes to this stuff so any help I can get will be appreciated.  Thanks.\r<BR>\n" );
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document.write( "The formula for calculating the amount of money returned for deposit money into a bank account or CD (Certificate of Deposit) is given by the following:<BR>\n" );
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document.write( "A is the amount of returned<BR>\n" );
document.write( "P is the principal amount deposited<BR>\n" );
document.write( "r is the annual interest rate (expressed as a decimal)<BR>\n" );
document.write( "n is the compound period<BR>\n" );
document.write( "t is the number of years\r<BR>\n" );
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document.write( "Carry all calculations to 6 decimals on all assignments then round the answer to the <BR>\n" );
document.write( "nearest cent.\r<BR>\n" );
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document.write( "Suppose you deposit $20,000 for 3 years at a rate of 8%.<BR>\n" );
document.write( "a) 	Calculate the return (A) if the bank compounds annually (n = 1).<BR>\n" );
document.write( "Answer:  <BR>\n" );
document.write( "Show work in this space. Use ^ to indicate the power.  \r<BR>\n" );
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document.write( "b) 	Calculate the return (A) if the bank compounds quarterly (n = 4). Round your answer to the hundredth's place.<BR>\n" );
document.write( "Answer:  <BR>\n" );
document.write( "Show work in this space .  \r<BR>\n" );
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document.write( "c) 	Calculate the return (A) if the bank compounds monthly (n = 12). Round your answer to the hundredth's place.<BR>\n" );
document.write( "Answer:  <BR>\n" );
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document.write( "d) 	Calculate the return (A) if the bank compounds daily (n = 365). Round your answer to the hundredth's place.<BR>\n" );
document.write( "Answer:  <BR>\n" );
document.write( "Show work in this space.  \r<BR>\n" );
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document.write( "e) 	What observation can you make about the size of increase in your return as your compounding increases more frequently? <BR>\n" );
document.write( "Answer:  \r<BR>\n" );
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document.write( "f) 	If a bank compounds continuous, then the formula becomes simpler, that is where e is a constant and equals approximately 2.7183. Calculate A with continuous compounding. Round your answer to the hundredth's place.<BR>\n" );
document.write( "Answer:  \r<BR>\n" );
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document.write( "g) 	Now suppose, instead of knowing t, we know that the bank returned to us $25,000 with the bank compounding continuously. Using logarithms, find how long we left the money in the bank (find t). Round your answer to the hundredth's place.<BR>\n" );
document.write( "Answer:  <BR>\n" );
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document.write( "h) 	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:\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #60492 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=60492\">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=p%281%2Br%2Fn%29%5E%28n%2At%29 ALIGN=MIDDLE  ALT=\"A=p%281%2Br%2Fn%29%5E%28n%2At%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given equation\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=20000%281%2B0.08%2Fn%29%5E%28n%2A3%29 ALIGN=MIDDLE  ALT=\"A=20000%281%2B0.08%2Fn%29%5E%28n%2A3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  Plug in p=20000, r=0.08\r<BR>\n" );
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document.write( "a) \r<BR>\n" );
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document.write( "Lets calculate the return if the bank compounds annually\r<BR>\n" );
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document.write( "Let n=1 and plug it into  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=20000%281%2B0.08%2Fn%29%5E%28n%2A3%29 ALIGN=MIDDLE  ALT=\"A=20000%281%2B0.08%2Fn%29%5E%28n%2A3%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=A=20000%281%2B0.08%2F1%29%5E%281%2A3%29 ALIGN=MIDDLE  ALT=\"A=20000%281%2B0.08%2F1%29%5E%281%2A3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >       Start with the given expression<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=20000%281%2B0.08%29%5E%281%2A3%29 ALIGN=MIDDLE  ALT=\"A=20000%281%2B0.08%29%5E%281%2A3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >     Divide 0.08 by 1 to get 0.08<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=20000%281%2B0.08%29%5E%283%29 ALIGN=MIDDLE  ALT=\"A=20000%281%2B0.08%29%5E%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >     Multiply the exponents 1 and 3 to get 3<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=20000%281.08%29%5E%283%29 ALIGN=MIDDLE  ALT=\"A=20000%281.08%29%5E%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >       Add 1 and 0.08 to get 1.08<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=20000%281.259712%29 ALIGN=MIDDLE  ALT=\"A=20000%281.259712%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >      Raise 1.08 to 3 to get 1.259712<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=25194.24 ALIGN=MIDDLE  ALT=\"A=25194.24\"   DISABLED_style= \"max-width:90%; height:auto;\" >       Multiply 20000 and 1.259712 to get 25194.24\r<BR>\n" );
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document.write( "So our return is $25194.24<BR>\n" );
document.write( "b) \r<BR>\n" );
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document.write( "Lets calculate the return if the bank compounds quarterly\r<BR>\n" );
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document.write( "Let n=4 and plug it into  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=20000%281%2B0.08%2Fn%29%5E%28n%2A3%29 ALIGN=MIDDLE  ALT=\"A=20000%281%2B0.08%2Fn%29%5E%28n%2A3%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=A=20000%281%2B0.08%2F4%29%5E%284%2A3%29 ALIGN=MIDDLE  ALT=\"A=20000%281%2B0.08%2F4%29%5E%284%2A3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >       Start with the given expression<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=20000%281%2B0.02%29%5E%284%2A3%29 ALIGN=MIDDLE  ALT=\"A=20000%281%2B0.02%29%5E%284%2A3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >     Divide 0.08 by 4 to get 0.02<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=20000%281%2B0.02%29%5E%2812%29 ALIGN=MIDDLE  ALT=\"A=20000%281%2B0.02%29%5E%2812%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >     Multiply the exponents 4 and 3 to get 12<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=20000%281.02%29%5E%2812%29 ALIGN=MIDDLE  ALT=\"A=20000%281.02%29%5E%2812%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >       Add 1 and 0.02 to get 1.02<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=20000%281.26824179456255%29 ALIGN=MIDDLE  ALT=\"A=20000%281.26824179456255%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >      Raise 1.02 to 12 to get 1.26824179456255<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=25364.8358912509 ALIGN=MIDDLE  ALT=\"A=25364.8358912509\"   DISABLED_style= \"max-width:90%; height:auto;\" >       Multiply 20000 and 1.26824179456255 to get 25364.8358912509\r<BR>\n" );
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document.write( "So our return is $25364.84<BR>\n" );
document.write( "c) \r<BR>\n" );
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document.write( "Lets calculate the return if the bank compounds monthly\r<BR>\n" );
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document.write( "Let n=12 and plug it into  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=20000%281%2B0.08%2Fn%29%5E%28n%2A3%29 ALIGN=MIDDLE  ALT=\"A=20000%281%2B0.08%2Fn%29%5E%28n%2A3%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=A=20000%281%2B0.08%2F12%29%5E%2812%2A3%29 ALIGN=MIDDLE  ALT=\"A=20000%281%2B0.08%2F12%29%5E%2812%2A3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >       Start with the given expression<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=20000%281%2B0.00666666666666667%29%5E%2812%2A3%29 ALIGN=MIDDLE  ALT=\"A=20000%281%2B0.00666666666666667%29%5E%2812%2A3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >     Divide 0.08 by 12 to get 0.00666666666666667<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=20000%281%2B0.00666666666666667%29%5E%2836%29 ALIGN=MIDDLE  ALT=\"A=20000%281%2B0.00666666666666667%29%5E%2836%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >     Multiply the exponents 12 and 3 to get 36<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=20000%281.00666666666667%29%5E%2836%29 ALIGN=MIDDLE  ALT=\"A=20000%281.00666666666667%29%5E%2836%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >       Add 1 and 0.00666666666666667 to get 1.00666666666667<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=20000%281.27023705162065%29 ALIGN=MIDDLE  ALT=\"A=20000%281.27023705162065%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >      Raise 1.00666666666667 to 36 to get 1.27023705162065<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=25404.741032413 ALIGN=MIDDLE  ALT=\"A=25404.741032413\"   DISABLED_style= \"max-width:90%; height:auto;\" >       Multiply 20000 and 1.27023705162065 to get 25404.741032413\r<BR>\n" );
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document.write( "So our return is $25404.74<BR>\n" );
document.write( "d) \r<BR>\n" );
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document.write( "Lets calculate the return if the bank compounds daily\r<BR>\n" );
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document.write( "Let n=365 and plug it into  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=20000%281%2B0.08%2Fn%29%5E%28n%2A3%29 ALIGN=MIDDLE  ALT=\"A=20000%281%2B0.08%2Fn%29%5E%28n%2A3%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=A=20000%281%2B0.08%2F365%29%5E%28365%2A3%29 ALIGN=MIDDLE  ALT=\"A=20000%281%2B0.08%2F365%29%5E%28365%2A3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >       Start with the given expression<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=20000%281%2B0.000219178082191781%29%5E%28365%2A3%29 ALIGN=MIDDLE  ALT=\"A=20000%281%2B0.000219178082191781%29%5E%28365%2A3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >     Divide 0.08 by 365 to get 0.000219178082191781<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=20000%281%2B0.000219178082191781%29%5E%281095%29 ALIGN=MIDDLE  ALT=\"A=20000%281%2B0.000219178082191781%29%5E%281095%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >     Multiply the exponents 365 and 3 to get 1095<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=20000%281.00021917808219%29%5E%281095%29 ALIGN=MIDDLE  ALT=\"A=20000%281.00021917808219%29%5E%281095%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >       Add 1 and 0.000219178082191781 to get 1.00021917808219<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=20000%281.27121572005174%29 ALIGN=MIDDLE  ALT=\"A=20000%281.27121572005174%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >      Raise 1.00021917808219 to 1095 to get 1.27121572005174<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=25424.3144010349 ALIGN=MIDDLE  ALT=\"A=25424.3144010349\"   DISABLED_style= \"max-width:90%; height:auto;\" >       Multiply 20000 and 1.27121572005174 to get 25424.3144010349\r<BR>\n" );
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document.write( "So our return is $25424.31\r<BR>\n" );
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document.write( "e) What observation can you make about the size of the increase in your return as your compounding increases more frequently?\r<BR>\n" );
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document.write( "As the compounding frequency increases, the return slowly approaches some finite number (which in this case appears to be about $12213.69). Think about it, banks wouldn't be too fond of shelling out an infinite amount of cash.\r<BR>\n" );
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document.write( "f)Calculate A with continuous compounding\r<BR>\n" );
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document.write( "Using the contiuous compounding formula <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;\" > where e is the constant 2.7183 and letting r=0.1, P=10,000, and t=2 we get\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=20000%282.7183%29%5E%280.08%2A3%29 ALIGN=MIDDLE  ALT=\"A=20000%282.7183%29%5E%280.08%2A3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given equation\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=20000%282.7183%29%5E%280.24%29 ALIGN=MIDDLE  ALT=\"A=20000%282.7183%29%5E%280.24%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply 0.1 and 2\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=20000%281.27125118988893%29 ALIGN=MIDDLE  ALT=\"A=20000%281.27125118988893%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Raise 2.7183 to 0.2\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=25425.0237977787 ALIGN=MIDDLE  ALT=\"A=25425.0237977787\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply\r<BR>\n" );
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document.write( "So using continuous compounding interest we get a return of $25425.02 (which is real close to what we got from a daily compounding frequency)\r<BR>\n" );
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document.write( "g)Now suppose, instead of knowing t, we know that the bank returned to us $15,000 with the bank compounding continuously. Using natural logarithms, find how long we left the money in the bank (find t)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=25000=20000e%5E%280.08t%29 ALIGN=MIDDLE  ALT=\"25000=20000e%5E%280.08t%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=25000%2F20000=e%5E%280.08t%29 ALIGN=MIDDLE  ALT=\"25000%2F20000=e%5E%280.08t%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by 20,000\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1.25=e%5E%280.08t%29 ALIGN=MIDDLE  ALT=\"1.25=e%5E%280.08t%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%281.25%29=0.08t ALIGN=MIDDLE  ALT=\"ln%281.25%29=0.08t\"   DISABLED_style= \"max-width:90%; height:auto;\" > Take the natural log of both sides. This eliminates \"e\".The natural log (pronounced \"el\" \"n\") is denoted \"ln\" on calculators.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%281.25%29%2F0.08=t ALIGN=MIDDLE  ALT=\"ln%281.25%29%2F0.08=t\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by 0.08\r<BR>\n" );
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document.write( "So we get\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t=0.2231%2F0.08=2.78875 ALIGN=MIDDLE  ALT=\"t=0.2231%2F0.08=2.78875\"   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=2.78875 ALIGN=MIDDLE  ALT=\"t=2.78875\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So it will take a little over 2 and a half years to generate $25,000\r<BR>\n" );
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document.write( "h) 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?\r<BR>\n" );
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document.write( "Since we want to double our money, let A=2*20,000. So A=40,000. Now solve for t:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=40000=20000e%5E%280.08t%29 ALIGN=MIDDLE  ALT=\"40000=20000e%5E%280.08t%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=40000%2F20000=e%5E%280.08t%29 ALIGN=MIDDLE  ALT=\"40000%2F20000=e%5E%280.08t%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by 10,000\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2=e%5E%280.08t%29 ALIGN=MIDDLE  ALT=\"2=e%5E%280.08t%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%282%29=0.08t ALIGN=MIDDLE  ALT=\"ln%282%29=0.08t\"   DISABLED_style= \"max-width:90%; height:auto;\" > Take the natural log of both sides. This eliminates \"e\".The natural log (pronounced \"el\" \"n\") is denoted \"ln\" on calculators.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%282%29%2F0.08=t ALIGN=MIDDLE  ALT=\"ln%282%29%2F0.08=t\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by 0.08\r<BR>\n" );
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document.write( "So we get\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t=0.69314%2F0.08=8.66425 ALIGN=MIDDLE  ALT=\"t=0.69314%2F0.08=8.66425\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t=8.66425 ALIGN=MIDDLE  ALT=\"t=8.66425\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "So it will take about 8 and a half years to double your money. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );