document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=203315>Question 203315</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi I need help with a word problem involving interest rates Please.<BR>\n" );
document.write( "P dollars is invested at annual<BR>\n" );
document.write( "interest rate r for 1 year. If the interest is compounded<BR>\n" );
document.write( "semiannually, then the polynomial P(1+r/2)^2<BR>\n" );
document.write( "represents the value of the investment after 1 year. Rewrite this expression<BR>\n" );
document.write( "without parentheses. Evaluate the polynomial if<BR>\n" );
document.write( "P= $200 and r= 10%.\r<BR>\n" );
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document.write( "My Try: I know I have to substitute the numbers in for the variables, but not sure how to solve after that. 200(1+10%/2)^2 = 200+220/2=110^2=220??<BR>\n" );
document.write( "Thanks </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #153388 by </B><A HREF=/tutors/aboutme.mpl?userid=MathTherapy><B>MathTherapy(10552)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathTherapy><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=MathTherapy><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=153388\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Value of investment after 1 year = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%281%2Br%2F2%29%5E2 ALIGN=MIDDLE  ALT=\"P%281%2Br%2F2%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Rewriting the expression without parentheses, we get: \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%281%2Br%2F2%29%281%2Br%2F2%29 ALIGN=MIDDLE  ALT=\"P%281%2Br%2F2%29%281%2Br%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  =   <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%2A%281%2B%28r%2F2%29%2B%28r%2F2%29%2B%28r%5E2%2F4%29%29 ALIGN=MIDDLE  ALT=\"P%2A%281%2B%28r%2F2%29%2B%28r%2F2%29%2B%28r%5E2%2F4%29%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=P%2A%281%2B%282r%2F2%29%2B%28r%5E2%2F4%29%29 ALIGN=MIDDLE  ALT=\"P%2A%281%2B%282r%2F2%29%2B%28r%5E2%2F4%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%2B%282Pr%2F2%29%2B%28Pr%5E2%2F4%29%29 ALIGN=MIDDLE  ALT=\"P%2B%282Pr%2F2%29%2B%28Pr%5E2%2F4%29%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=%284P%2B4Pr%2BPr%5E2%29%2F4 ALIGN=MIDDLE  ALT=\"%284P%2B4Pr%2BPr%5E2%29%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " Evaluating the polynomial without parentheses, we get:\r<BR>\n" );
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document.write( "Value of investment after 1 year = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284P%2B4Pr%2BPr%5E2%29%2F4 ALIGN=MIDDLE  ALT=\"%284P%2B4Pr%2BPr%5E2%29%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >, where P = $200, and r = 10%, or .1\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284P%2B4Pr%2BPr%5E2%29%2F4 ALIGN=MIDDLE  ALT=\"%284P%2B4Pr%2BPr%5E2%29%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%284%2A200%29%2B%284%2A200%2A.1%29%2B%28200%2A%28.1%5E2%29%29%29%2F4 ALIGN=MIDDLE  ALT=\"%28%284%2A200%29%2B%284%2A200%2A.1%29%2B%28200%2A%28.1%5E2%29%29%29%2F4\"   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=%28800+%2B+80+%2B+2%29%2F4 ALIGN=MIDDLE  ALT=\"%28800+%2B+80+%2B+2%29%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >   =   <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=882%2F4 ALIGN=MIDDLE  ALT=\"882%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >  =  $<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28220.50%29 ALIGN=MIDDLE  ALT=\"highlight_green%28220.50%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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