document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=28285>Question 28285</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Melanie invested $5000 for 18 months, part at a rate of 12% annual interest and the rest at a rate of 9% annual interest. The interest from the investment at 12% was $348.75 more than the interest from the investment at 9%. How much money did she invest at each rate? (Interest formula: Interest=principal x rate x time [expressed in years]) All steps in the solution must be shown and each step must be accompanied by a verbal/written explanation to justify your work and/or explain your reasoning.\r<BR>\n" );
document.write( "\n" );
document.write( "No idea where to start let alone write an explanation. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #15397 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=15397\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> After you've done enough of these interest and other types of word problems<BR>\n" );
document.write( "you get a sense of where to start. <BR>\n" );
document.write( "As soon as I saw that they're doing 2 different things with $5000 what popped<BR>\n" );
document.write( "into my head was x and 5000 - x <BR>\n" );
document.write( "This is a great way to divide 5000 in two, the sum adds up to 5000 as it should<BR>\n" );
document.write( "and your unknown is neatly tucked into each part. Very useful<BR>\n" );
document.write( "What do you do with it?<BR>\n" );
document.write( "Let x be the amount invested at 12%<BR>\n" );
document.write( "So the rest of the $5000, namely 5000 - x, is invested at 9%<BR>\n" );
document.write( "Following the problem, <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=.12+%2A+x+=+.09+%2A+%285000+-+x%29+%2B+348.75 ALIGN=MIDDLE  ALT=\".12+%2A+x+=+.09+%2A+%285000+-+x%29+%2B+348.75\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Solve for x<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=.12+%2A+x+=+450+-+.09+%2A+x++%2B+348.75 ALIGN=MIDDLE  ALT=\".12+%2A+x+=+450+-+.09+%2A+x++%2B+348.75\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=.21+%2A+x+=+450+%2B+348.75 ALIGN=MIDDLE  ALT=\".21+%2A+x+=+450+%2B+348.75\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=.21+%2A+x+=+798.75 ALIGN=MIDDLE  ALT=\".21+%2A+x+=+798.75\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "I get<BR>\n" );
document.write( "x = 3803.60<BR>\n" );
document.write( "and<BR>\n" );
document.write( "5000 - x = 1196.40<BR>\n" );
document.write( "Those would be the amounts invested at 12% and 9%<BR>\n" );
document.write( "checking<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=.12+%2A+3803.60+=+.09+%2A+1196.40++%2B+348.75 ALIGN=MIDDLE  ALT=\".12+%2A+3803.60+=+.09+%2A+1196.40++%2B+348.75\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=456.43+=+107.68+%2B+348.75 ALIGN=MIDDLE  ALT=\"456.43+=+107.68+%2B+348.75\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=456.43+=+456.43 ALIGN=MIDDLE  ALT=\"456.43+=+456.43\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Unless I goofed that's it </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );