document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=140283>Question 140283</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I really need help with this question, I can't figure it out...please.<BR>\n" );
document.write( "An artist has sold a painting for $410,000. He needs some of the money in 6 months and the rest in a year. He can get a treasury bond for 6 months at 4.65% and one for a year at 4.91%. His broker tells him the two investments will earn a total of $14,961. How much should be invested at each rate to obtain that amount of interest? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #102172 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=102172\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> An artist has sold a painting for $410,000. He needs some of the money in 6 months and the rest in a year. He can get a treasury bond for 6 months at 4.65% and one for a year at 4.91%. His broker tells him the two investments will earn a total of $14,961. How much should be invested at each rate to obtain that amount of interest?<BR>\n" );
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document.write( "Let amt. invested at 4.65% for 6 mts be \"x\": interest will be 0.02325x<BR>\n" );
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document.write( "Amt invested at 4.91 will be \"410000-x\"; interest will be 0.0491(410000-x)<BR>\n" );
document.write( "= 20131-0.0491x<BR>\n" );
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document.write( "EQUATION:<BR>\n" );
document.write( "interest + interest = 14961<BR>\n" );
document.write( "0.02325x + 20131 - 0.0491x = 14961<BR>\n" );
document.write( "Solve for x.<BR>\n" );
document.write( "==============<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " </SPAN>\n" );
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