document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1058622>Question 1058622</A>: <I><SPAN STYLE=\"word-break: break-all;\"> annette invested 8,400 in bank A at a certain interest rate per year and 7000 in bank B at an interest rate 1.5% higher. If the total income from the two investments is 751.80 at what interest rate was each amount invested? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #673713 by </B><A HREF=/tutors/aboutme.mpl?userid=solve_for_x><B>solve_for_x(190)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solve_for_x><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=673713\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x represent the rate at Bank A.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "The rate at Bank B is then x + 1.5.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "The total interest earned is then:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "(8400)(x/100) + (7000)(x + 1.5)/100 = 751.80\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Multiplying through by 100 gives:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "8400x + 7000x + 10500 = 75180\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "15400x + 10500 = 75180\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "15400x = 75180 - 10500\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "15400x = 64680\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "x = 64680 / 15400\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "x = 4.2\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Solution: The rate at Bank A is 4.2%, and the rate at Bank B is 4.2% + 1.5% = 5.7%\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Check:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "8400(0.042) + 7000(0.057) = 352.80 + 399.00 = 751.80 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );