document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1034821>Question 1034821</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Nicole invested a certain amount of money for one year and earned $78 in interest. Jon invested $260 more at an interest rate that was 1% less than Nicole, but earned the same amount of interest. Find Nicole's principal and interest rate. \r<BR>\n" );
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document.write( "please explain. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #649583 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=649583\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Nicole invested a certain amount of money for one year and earned $78 in interest. Jon invested $260 more at an interest rate that was 1% less than Nicole, but earned the same amount of interest. Find Nicole's principal and interest rate. <BR>\n" );
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document.write( "let n = amt invested by N<BR>\n" );
document.write( "J invested $260 more, therefore<BR>\n" );
document.write( "(n+260) = amt invested by J<BR>\n" );
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document.write( "then<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=78%2Fn ALIGN=MIDDLE  ALT=\"78%2Fn\"   DISABLED_style= \"max-width:90%; height:auto;\" > = N's interest rate in decimal form<BR>\n" );
document.write( "J interest rate was 1% less, therefore<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=78%2Fn ALIGN=MIDDLE  ALT=\"78%2Fn\"   DISABLED_style= \"max-width:90%; height:auto;\" > - .01 = J's interest rate <BR>\n" );
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document.write( "j's interest rate * j's amt = 78<BR>\n" );
document.write( "(<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=78%2Fn ALIGN=MIDDLE  ALT=\"78%2Fn\"   DISABLED_style= \"max-width:90%; height:auto;\" >-.01)(n+260) = 78<BR>\n" );
document.write( "FOIL<BR>\n" );
document.write( "78 + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20280%2Fn ALIGN=MIDDLE  ALT=\"20280%2Fn\"   DISABLED_style= \"max-width:90%; height:auto;\" > - .01n - 2.6 = 78<BR>\n" );
document.write( "subtract 78 from both sides<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20280%2Fn ALIGN=MIDDLE  ALT=\"20280%2Fn\"   DISABLED_style= \"max-width:90%; height:auto;\" > - .01n - 2.6 = 0<BR>\n" );
document.write( "multiply by n, form  quadratic equation<BR>\n" );
document.write( "20280 - .01n^2 - 2.6n = 0<BR>\n" );
document.write( "Multiply by -100<BR>\n" );
document.write( "n^2 + 260n - 2028000 = 0<BR>\n" );
document.write( "you can use the quadratic formula but this will factor<BR>\n" );
document.write( "(n+1560)(n-1300) = 0<BR>\n" );
document.write( "the positive solution<BR>\n" );
document.write( "n = $1300 is N's investment<BR>\n" );
document.write( "Find the interest rate<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=78%2F1300 ALIGN=MIDDLE  ALT=\"78%2F1300\"   DISABLED_style= \"max-width:90%; height:auto;\" > = .06 or 6% int<BR>\n" );
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document.write( "Confirm this by finding J's amt and int<BR>\n" );
document.write( "1300 + 260 = $1560<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=78%2F1560 ALIGN=MIDDLE  ALT=\"78%2F1560\"   DISABLED_style= \"max-width:90%; height:auto;\" > = .05 or 5%, on 1 percent less<BR>\n" );
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