document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=757302>Question 757302</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a person plans to invest four times as much in an account at 6% interest as in an account at 9% annual interest. how much should the person invest in each account to earn a total of $825 in one year? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #460742 by </B><A HREF=/tutors/aboutme.mpl?userid=LearnWithMajor><B>LearnWithMajor(33)</B></A><img src=\"/images/stars/stars-07.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=LearnWithMajor><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=460742\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x = investment at 6% interest.  y = investment at 9% interest\r<BR>\n" );
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document.write( "simple interest equation: interest = principle*rate*time(years) <BR>\n" );
document.write( "i = p*r*t\r<BR>\n" );
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document.write( "a person plans to invest four times as much in 6% as in 9%<BR>\n" );
document.write( "x = 4y\r<BR>\n" );
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document.write( "the person wants to earn a total of $825 in interest in 1 year so when we add the interest from both accounts it should equal 825.  \r<BR>\n" );
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document.write( "0.06x + 0.09y = 825\r<BR>\n" );
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document.write( "Substituting 4y in for x we get<BR>\n" );
document.write( "0.06(4y) + 0.09y = 825<BR>\n" );
document.write( "0.24y + 0.09y = 825<BR>\n" );
document.write( "0.33y = 825<BR>\n" );
document.write( "y = 825/0.33 = 2500<BR>\n" );
document.write( "x = 4y = 4(2500) = 10000 </SPAN>\n" );
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