document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=173083>Question 173083</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0321227573/algebrahomeworkh>College Algebra</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Cookbook Royalties   Latasha Williams earned $48,000 from royalties on her cookbook.  SHe paid a 28% income tax on these royalties.  The balance was invested in two ways, some of it at 3.25% interest and some at 1.75%.  The investments produced $904.80 interest per year.  Find the amount invested at each rate. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #127939 by </B><A HREF=/tutors/aboutme.mpl?userid=checkley77><B>checkley77(12844)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=checkley77><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=127939\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 48,000(1-.28)=48,000*.72=$34,560 is her balance after taxes.<BR>\n" );
document.write( ".0325x+.0175(34,560-x)=904.80<BR>\n" );
document.write( ".0325x+604.80-.0175x=904.80<BR>\n" );
document.write( ".015x=904.8-604.8<BR>\n" );
document.write( ".015x=300<BR>\n" );
document.write( "x=300/.015<BR>\n" );
document.write( "x=$20,000 is the amount invested @ 3.25%<BR>\n" );
document.write( "34,560-20,000=$14,560 is the amount invested @ 1.75%<BR>\n" );
document.write( "Proof:<BR>\n" );
document.write( ".0325*20,000+.0175*14,560=904.80<BR>\n" );
document.write( "650+254.80=904.80<BR>\n" );
document.write( "904.8=904.8 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );