document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1051869>Question 1051869</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A renowned mathematician received a &#8203;$40000 bonus to accept a tenured  professorship at a university. She invested part of the bonus in fixed income securities yielding 9&#8203;% annually. The rest of the bonus money was invested in a high tech startup expecting to yield 33&#8203;% annually to its investors. How much was invested in tech business if she expected to earn &#8203;$10320 annually from her&#8203; investments?\r<BR>\n" );
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document.write( " ivy has two investments totaling &#8203;$14,000. Plan A has an APR of 4&#8203;% and plan B has an APR of 9&#8203;%. After one&#8203; year, the interest earned from plan B is &#8203;$350 more than the interest from plan A. How much did she invest in each&#8203; plan?\r<BR>\n" );
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document.write( "tyler invests money in two plans. He invests three-fifths of the money in an account at a return rate of 8%. He invests the remainder of the money in an account with a return rate of 2%. If the total interest earned in one year from the investments is &#8203;$67.20&#8203;, how much was invested in each&#8203; plan?\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #667360 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=667360\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Times New Roman\" size=\"+2\">\r<BR>\n" );
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document.write( "A person has <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large P\"> currency units invested in 2 accounts.\r<BR>\n" );
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document.write( "One account earns <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large r_1\"> percent interest, and the other account earns <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large r_2\"> percent interest.\r<BR>\n" );
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document.write( "The two accounts earn a total of <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large I\"> interest in one year.\r<BR>\n" );
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document.write( "How much is invested in each account?\r<BR>\n" );
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document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large x\"> be the amount invested at <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large r_1\"> percent.  Then the amount invested at <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large r_2\"> percent is <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large P\ -\ x\">, and:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ \frac{r_1}{100}x\ +\ \frac{r_2}{100}\left(P\ -\ x\right)\ =\ I\">\r<BR>\n" );
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document.write( "Solve for <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large x\">, then calculate <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large P\ -\ x\">\r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi}\ +\ 1\ =\ 0\"><BR>\n" );
document.write( "My calculator said it, I believe it, that settles it </SPAN>\n" );
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