document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=274054>Question 274054</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need help in performing the correct steps to get to the answer. I have the solution, just don't think I arrived at it \"by the book\".\r<BR>\n" );
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document.write( "If $10,000 and $4000 are invested such that $1250 in interest is earned in 1 year, and the rate of interest on the larger investment is 2% more than that on the smaller investment, find the rates of interest.\r<BR>\n" );
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document.write( "Thanks for the help\r<BR>\n" );
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document.write( "T </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #200076 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=200076\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> you invest 10000 and 4000 for 1 year and the interest earned is 1250.\r<BR>\n" );
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document.write( "the rate of interest on the larger investment is 2% more than that earned on the smaller investment.\r<BR>\n" );
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document.write( "2% divided by 100% = .02\r<BR>\n" );
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document.write( "let x = the interest rate earned on the smaller investment.\r<BR>\n" );
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document.write( "x + .02 = the interest rate earned on the larger investment.\r<BR>\n" );
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document.write( "your equation is:\r<BR>\n" );
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document.write( "(x+.02)*10000 + x*4000 = 1250\r<BR>\n" );
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document.write( "you solve for x to get your answer.\r<BR>\n" );
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document.write( "simplify your equation to get:<BR>\n" );
document.write( "10000*x + .02*10000 + 4000*x = 1250<BR>\n" );
document.write( "simplify further to get:<BR>\n" );
document.write( "10000*x + 200 + 4000*x = 1250<BR>\n" );
document.write( "combine like terms to get:<BR>\n" );
document.write( "14000*x + 200 = 1250<BR>\n" );
document.write( "subtract 200 from both sides of the equation to get:<BR>\n" );
document.write( "14000*x = 1250 - 200<BR>\n" );
document.write( "combine like terms to get:<BR>\n" );
document.write( "14000*x = 1050<BR>\n" );
document.write( "divide both sides of the equation by 14000 to get:<BR>\n" );
document.write( "x = 1050/14000<BR>\n" );
document.write( "simplify to get:<BR>\n" );
document.write( "x = .075<BR>\n" );
document.write( "that makes x+.02 equal to .095\r<BR>\n" );
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document.write( "10000 * .095 + 4000 * .075 = 950 + 300 = 1250 confirming these values are correct.\r<BR>\n" );
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document.write( "interest rate on the larger amount is .095 * 100% = 9.5%<BR>\n" );
document.write( "interest rate on the smaller amount is .075 * 100% = 7.5%<BR>\n" );
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