document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=192945>Question 192945</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I am having problems with this particular word problem, I know I use the formula  : A = P (1+(r/n)^nt  but I am not sure how to use it in correlation to the problem, could someone help? \r<BR>\n" );
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document.write( "Problem :\r<BR>\n" );
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document.write( "If 40600 dollars is invested at an interest rate of 10 percent per year, find the value of the investment at the end of 5 years for the following compounding methods.\r<BR>\n" );
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document.write( "Annually :  ?\r<BR>\n" );
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document.write( "Semi-annually : ?\r<BR>\n" );
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document.write( "Monthly : ?\r<BR>\n" );
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document.write( "Daily : ?\r<BR>\n" );
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document.write( "Continously : ?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #144826 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=144826\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Garamond\" size=\"+2\">\r<BR>\n" );
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document.write( "Step 1 is to write your formula correctly.  You left out a very important parenthesis mark.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ A = P\left(1 + \left(\frac{r}{n}\right)\right)^{nt}\">\r<BR>\n" );
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document.write( "<i>A</i> is the answer you want.\r<BR>\n" );
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document.write( "<i>P</i> is the amount invested, or $40,600\r<BR>\n" );
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document.write( "<i>r</i> is the annual interest rate, expressed as a decimal, so 0.10\r<BR>\n" );
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document.write( "<i>t</i> is the number of years, or 5 for this problem\r<BR>\n" );
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document.write( "and <i>n</i> is the number of compounding periods per year, so\r<BR>\n" );
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document.write( "For Annually:  <b><i>n</i> = 1</b>\r<BR>\n" );
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document.write( "For Semi-annually:  <b><i>n</i> = 2</b>\r<BR>\n" );
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document.write( "For Monthly:  <b><i>n</i> = 12</b>\r<BR>\n" );
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document.write( "For Daily: <b><i>n</i> = 365</b>\r<BR>\n" );
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document.write( "Just substitute the values for the variables in the formula and get to punching buttons on your calculator.\r<BR>\n" );
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document.write( "For example, for the Monthly problem:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ A = 40600\left(1 + \left(\frac{0.10}{12}\right)\right)^{(12\cdot5)} = 66799.54\">\r<BR>\n" );
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document.write( "However, for Continuous, you have to use a different formula.  That's because <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\large n = \infty\"> for continuous compounding.  As it turns out,\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \  \lim_{n\rightarrow\infty}\left(1 + \left(\frac{r}{n}\right)\right)^{nt} = e^{rt}\">\r<BR>\n" );
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document.write( "So, for continuous compounding:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ A = Pe^{rt}\">\r<BR>\n" );
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document.write( "Where <i>e</i> is the base of the natural logarithms.  Again, substitute and punch calculator buttons.\r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi} + 1 = 0\"><BR>\n" );
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