document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=911762>Question 911762</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Marsha and Kan both invested money on March 1, 2007. Marsha invested $9,000 at Bank A where the interest was compounded quarterly. Jan invested $6,000 at Bank B where the interest was compounded continuously. On March 1, 2012, Marsha had a balance of $11,789.68 while Jan had a balance of $7,504.50. What was the interest at each bank?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #553389 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=553389\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Marsha and Kan both invested money on March 1, 2007.<BR>\n" );
document.write( " Marsha invested $9,000 at Bank A where the interest was compounded quarterly.<BR>\n" );
document.write( " Jan invested $6,000 at Bank B where the interest was compounded continuously.<BR>\n" );
document.write( " On March 1, 2012, Marsha had a balance of $11,789.68 while Jan had a balance of $7,504.50.<BR>\n" );
document.write( " What was the interest at each bank?<BR>\n" );
document.write( ":<BR>\n" );
document.write( "From the information given, we know both had money invested for 5 yrs<BR>\n" );
document.write( ":<BR>\n" );
document.write( "M<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9000%281%2B%28r%2F4%29%29%5E%285%2A4%29 ALIGN=MIDDLE  ALT=\"9000%281%2B%28r%2F4%29%29%5E%285%2A4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 11789.68<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2B%28r%2F4%29%29%5E20 ALIGN=MIDDLE  ALT=\"%281%2B%28r%2F4%29%29%5E20\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=11789.68%2F9000 ALIGN=MIDDLE  ALT=\"11789.68%2F9000\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "use logs here<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%28%281%2B%28r%2F4%29%29%5E20%29 ALIGN=MIDDLE  ALT=\"log%28%281%2B%28r%2F4%29%29%5E20%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%2811789.68%2F9000%29 ALIGN=MIDDLE  ALT=\"log%2811789.68%2F9000%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%28%281%2B%28r%2F4%29%29%5E20%29 ALIGN=MIDDLE  ALT=\"log%28%281%2B%28r%2F4%29%29%5E20%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = .1172595<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%28%281%2B%28r%2F4%29%29%29 ALIGN=MIDDLE  ALT=\"log%28%281%2B%28r%2F4%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1172595%2F20 ALIGN=MIDDLE  ALT=\"1172595%2F20\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%281%2B%28r%2F4%29%29 ALIGN=MIDDLE  ALT=\"log%281%2B%28r%2F4%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = .005862975<BR>\n" );
document.write( "find the antilog<BR>\n" );
document.write( "1 + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%2F4 ALIGN=MIDDLE  ALT=\"r%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1.0136<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%2F4 ALIGN=MIDDLE  ALT=\"r%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1.0136 - 1<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%2F4 ALIGN=MIDDLE  ALT=\"r%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > = .0136 <BR>\n" );
document.write( "mult both sides fy 4<BR>\n" );
document.write( "r = .054366 ~ 5.44% interest<BR>\n" );
document.write( ":<BR>\n" );
document.write( "J<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6000%2Ae%5E%285r%29 ALIGN=MIDDLE  ALT=\"6000%2Ae%5E%285r%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 7504.50<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=e%5E%285r%29 ALIGN=MIDDLE  ALT=\"e%5E%285r%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7504.50%2F6000 ALIGN=MIDDLE  ALT=\"7504.50%2F6000\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "use natural logs here, ln of e = 1, so we have a simple equation<BR>\n" );
document.write( "5r =  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%287504.50%2F6000%29 ALIGN=MIDDLE  ALT=\"ln%287504.50%2F6000%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "5r = .21046<BR>\n" );
document.write( "r = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=.2237%2F5 ALIGN=MIDDLE  ALT=\".2237%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "r = .04475 ~ 4.475% interest<BR>\n" );
document.write( ":\r<BR>\n" );
document.write( "\n" );
document.write( "  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );