document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=87176>Question 87176</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How much should be invested at 8% compounded semiannually in order to have $5000 at the end of 8 years\r<BR>\n" );
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document.write( "A. $4215.27<BR>\n" );
document.write( "B. $9364.91<BR>\n" );
document.write( "C. $2669.54<BR>\n" );
document.write( "D. $3048.78 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #63119 by </B><A HREF=/tutors/aboutme.mpl?userid=Edwin+McCravy><B>Edwin McCravy(20060)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Edwin+McCravy><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=Edwin+McCravy><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=63119\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> How much should be invested at 8% compounded <BR>\n" );
document.write( "semiannually in order to have $5000 at the end <BR>\n" );
document.write( "of 8 years \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+=+P%281%2Br%2Fn%29%5E%28nt%29 ALIGN=MIDDLE  ALT=\"A+=+P%281%2Br%2Fn%29%5E%28nt%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Where A = final amount = 5000<BR>\n" );
document.write( "P = beginning amount = ? (that's what we are to find)<BR>\n" );
document.write( "r = rate expressed as a decimal = 0.08<BR>\n" );
document.write( "n = number of compoundings per year = 2<BR>\n" );
document.write( "t = number of years = 8\r<BR>\n" );
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document.write( "Substituting for everything but <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P ALIGN=MIDDLE  ALT=\"P\"   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=5000+=+P%281%2B0.08%2F2%29%5E%282%2A8%29 ALIGN=MIDDLE  ALT=\"5000+=+P%281%2B0.08%2F2%29%5E%282%2A8%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=5000+=+P%281%2B.04%29%5E16 ALIGN=MIDDLE  ALT=\"5000+=+P%281%2B.04%29%5E16\"   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=5000+=+P%281.04%29%5E16 ALIGN=MIDDLE  ALT=\"5000+=+P%281.04%29%5E16\"   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=5000+=+P%281.872981246%29 ALIGN=MIDDLE  ALT=\"5000+=+P%281.872981246%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=5000%2F1.872981246+=+P ALIGN=MIDDLE  ALT=\"5000%2F1.872981246+=+P\"   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=2669.540878 ALIGN=MIDDLE  ALT=\"2669.540878\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Rounding to the next higher penny:\r<BR>\n" );
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document.write( "$2669.55\r<BR>\n" );
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document.write( "Edwin</pre> </SPAN>\n" );
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