document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=676116>Question 676116</A>: <I><SPAN STYLE=\"word-break: break-all;\"> how much % a person shall lend his money to gain a compound of 3 times of its principal amount if interest is calculated halfyearly componded in 1 and half year? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #420181 by </B><A HREF=/tutors/aboutme.mpl?userid=Sarpi><B>Sarpi(32)</B></A><img src=\"/images/stars/stars-07.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Sarpi><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=Sarpi><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=420181\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Compounding Interest<BR>\n" );
document.write( "Formula: Amount = Principal (1+ Interest rate)^time<BR>\n" );
document.write( "=> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=P%281%2Br%29%5En ALIGN=MIDDLE  ALT=\"A=P%281%2Br%29%5En\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "If P = 1 then A = 3*P = 3*1 = 3.<BR>\n" );
document.write( "n = 1.5*2 = 3 (compounded semi-annually for 1 and half (1.5) years)<BR>\n" );
document.write( "We solve for r;<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=P%281%2Br%29%5En ALIGN=MIDDLE  ALT=\"A=P%281%2Br%29%5En\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3=1%281%2Br%29%5E3 ALIGN=MIDDLE  ALT=\"3=1%281%2Br%29%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F1=%281%2Br%29%5E3 ALIGN=MIDDLE  ALT=\"3%2F1=%281%2Br%29%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3=%281%2Br%29%5E3 ALIGN=MIDDLE  ALT=\"3=%281%2Br%29%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > raise to the power 3 on both sides to make (1+r)^3 a whole number.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%5E%281%2F3%29=%28%281%2Br%29%5E3%29%5E%281%2F3%29 ALIGN=MIDDLE  ALT=\"3%5E%281%2F3%29=%28%281%2Br%29%5E3%29%5E%281%2F3%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=3%5E%281%2F3%29=+1%2Br ALIGN=MIDDLE  ALT=\"3%5E%281%2F3%29=+1%2Br\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%5E%281%2F3%29-1+=+r ALIGN=MIDDLE  ALT=\"3%5E%281%2F3%29-1+=+r\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.44224957+=+r ALIGN=MIDDLE  ALT=\"0.44224957+=+r\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Hence, the interest rate is 44.22%<BR>\n" );
document.write( " </SPAN>\n" );
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