document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=775679>Question 775679</A>: <I><SPAN STYLE=\"word-break: break-all;\"> At a certain rate of simple interest, 500 Euros will accumulate to 600 Euros after a certain period of time. Find the accumulated value of  Euros at a rate of simple interest one fourth as great over twice as long a period of time. <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 #473057 by </B><A HREF=/tutors/aboutme.mpl?userid=psbhowmick><B>psbhowmick(878)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=psbhowmick><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=psbhowmick><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=473057\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let the rate of interest be R % per year and time period be T years.<BR>\n" );
document.write( "Therefore, the first scenario can be represented by the equation<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=600+=+500%281+%2B+R%2AT%29 ALIGN=MIDDLE  ALT=\"600+=+500%281+%2B+R%2AT%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=100+=+500RT ALIGN=MIDDLE  ALT=\"100+=+500RT\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=RT+=+1%2F5 ALIGN=MIDDLE  ALT=\"RT+=+1%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" > ________ (i)\r<BR>\n" );
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document.write( "If the rate of interest is one fourth more than the existing rate then it becomes <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=R+%2B+R%2F4+=+5R%2F4 ALIGN=MIDDLE  ALT=\"R+%2B+R%2F4+=+5R%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >% and double the previous time period is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2T ALIGN=MIDDLE  ALT=\"2T\"   DISABLED_style= \"max-width:90%; height:auto;\" > years.\r<BR>\n" );
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document.write( "With this new set of rate of interest and time period, the accumulated value A would be:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+=+500%281+%2B+%285%2AR%2F4%29%2A2T%29 ALIGN=MIDDLE  ALT=\"A+=+500%281+%2B+%285%2AR%2F4%29%2A2T%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+=+500%281+%2B+%285%2F2%29%2ART%29 ALIGN=MIDDLE  ALT=\"A+=+500%281+%2B+%285%2F2%29%2ART%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+=+500%281+%2B+%285%2F2%29%2A%281%2F5%29%29 ALIGN=MIDDLE  ALT=\"A+=+500%281+%2B+%285%2F2%29%2A%281%2F5%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > [substituting value of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=RT ALIGN=MIDDLE  ALT=\"RT\"   DISABLED_style= \"max-width:90%; height:auto;\" > from (i)]<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+=+500%281+%2B+1%2F2%29=500%2A%283%2F2%29=750 ALIGN=MIDDLE  ALT=\"A+=+500%281+%2B+1%2F2%29=500%2A%283%2F2%29=750\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Hence, the accumulated value would be 750 Euros </SPAN>\n" );
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