document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=73872>Question 73872</A>: <I><SPAN STYLE=\"word-break: break-all;\"> ) 	For a fixed rate, a fixed principal amount, and a fixed compounding cycle, the return is an exponential function of time. Using the formula, A=P(1+r/n)^nt  , let r = 10%, P = 1, and n = 1 and give the coordinates (t, A) for the points where t = 0, 1, 2, 3, 4. Round your answer to the hundredth's place.\r<BR>\n" );
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document.write( "a)	Show coordinates in this space\r<BR>\n" );
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document.write( "Show work in this space\r<BR>\n" );
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document.write( "b) 	Show graph here	<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 #52858 by </B><A HREF=/tutors/aboutme.mpl?userid=bucky><B>bucky(2189)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=bucky><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=52858\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> When you make the substitutions of values given in the problem, the equation becomes:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+=+1%2A%281%2B%280.1%2F1%29%29%5E%281%2At%29 ALIGN=MIDDLE  ALT=\"A+=+1%2A%281%2B%280.1%2F1%29%29%5E%281%2At%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "When you do the math this further reduces to:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+=+%281.1%29%5Et ALIGN=MIDDLE  ALT=\"A+=+%281.1%29%5Et\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Now all you have to do is to substitute (one at a time) for t the following values:<BR>\n" );
document.write( "0, 1, 2, 3, 4.<BR>\n" );
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document.write( "The first substitution is easy because any number raised to the 0 power is 1. So<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+=+%281.1%29%5E0+=+1 ALIGN=MIDDLE  ALT=\"A+=+%281.1%29%5E0+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "And the next substitution is just as easy because any number raised to the 1 power is<BR>\n" );
document.write( "just itself.<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+=+%281.1%29%5E1+=+1.1 ALIGN=MIDDLE  ALT=\"A+=+%281.1%29%5E1+=+1.1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "The next one is not too bad because <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281.1%29%5E2+=+1.21 ALIGN=MIDDLE  ALT=\"%281.1%29%5E2+=+1.21\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "The rest is quick work on a calculator to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281.1%29%5E3+=+1.33 ALIGN=MIDDLE  ALT=\"%281.1%29%5E3+=+1.33\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281.1%29%5E4+=+1.46 ALIGN=MIDDLE  ALT=\"%281.1%29%5E4+=+1.46\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "So the points to plot are:<BR>\n" );
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document.write( "(0,1) (1,1.1) (2,1.21) (3,1.33) and (4,1.46)<BR>\n" );
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document.write( "When you plot these points the graph should look like:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28300%2C300%2C0%2C4%2C0%2C2%2C%281.1%29%5E%28x%29%29 ALIGN=MIDDLE  ALT=\"graph%28300%2C300%2C0%2C4%2C0%2C2%2C%281.1%29%5E%28x%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Note that the graph is NOT a straight line.  It is the beginning of an exponential<BR>\n" );
document.write( "curve whose rise gets much steeper as t gets larger and larger.<BR>\n" );
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document.write( "You now have the points, the work, and a view of the graph.  That should help you with the <BR>\n" );
document.write( "problem and understanding it better. </SPAN>\n" );
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