document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=125175>Question 125175</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0321356896/algebrahomeworkh>A Graphical Approach to College Algebra</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> I am having trouble with word problems, Please help!!\r<BR>\n" );
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document.write( "Nancy B. Kindy won $200,000 in a state lottery. She first paid income tax of 30% on the winnings. Of the rest, she invested some at 1.5% and some at 4%, earning $4350 interest per year. How much did she invest at each rate. \r<BR>\n" );
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document.write( "THANK YOU! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #91761 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=91761\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Nancy B. Kindy won $200,000 in a state lottery. She first paid income tax of 30% on the winnings. Of the rest, she invested some at 1.5% and some at 4%, earning $4350 interest per year. How much did she invest at each rate. \r<BR>\n" );
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document.write( "Nancy had 0.70*200,000= $140,000 to invest.<BR>\n" );
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document.write( "Let amt. invested at 1.5% be \"x\" ; interest on this is 0.015x dollars<BR>\n" );
document.write( "Amt invested at 4% is \"140000-x\" ; interest is 0.04(140000-x)= 5600-0.04x<BR>\n" );
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document.write( "EQUATION:<BR>\n" );
document.write( "interest + interest = 4350<BR>\n" );
document.write( "0.015x + 5600-0.04x = 4350<BR>\n" );
document.write( "-0.025x = -1250<BR>\n" );
document.write( "x = $50,000 (amt. invested at 1.5%)<BR>\n" );
document.write( "140,000-x =$90,000 (amt invested at 4%)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.  </SPAN>\n" );
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