document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=275383>Question 275383</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the number of years it will take for $31,000 to grow to 33,405.06 at 3% interest compounded quarterly. I am going wrong somwhere toward the end of the problem. We have to use the graphing calculator. We don't have to graph it, but just use the calculator to find the answer. I get all the way down to the end. Where it will ask to solve for t. It comes down to\r<BR>\n" );
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document.write( "log(1.08)/4log(1.0075)=t \r<BR>\n" );
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document.write( "I entered it in the calculator exactly like this log(1.08)/4log(1.0075) My answer comes out to 2.711547965E-5. It says round to the nearest tenth and when I put down 2.7 I got it wrong. It came out to 2.5. Where could I be going wrong? Thanks....\r<BR>\n" );
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document.write( "PS: Also how do I thank a tutor for their help? I can't find how to leave feedback. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #200864 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=200864\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the number of years it will take for $31,000 to grow to 33,405.06 at 3% interest compounded quarterly.<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Let's see what I get:<BR>\n" );
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document.write( "The compound interest formula: A = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%281+%2B+%28r%2Fn%29%29%5E%28nt%29%29 ALIGN=MIDDLE  ALT=\"P%281+%2B+%28r%2Fn%29%29%5E%28nt%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Where<BR>\n" );
document.write( "A = resulting amt<BR>\n" );
document.write( "P = principal<BR>\n" );
document.write( "r = interest rate in decimal form<BR>\n" );
document.write( "n = no. times compounded per year<BR>\n" );
document.write( "t = no. of years<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=31000%281+%2B+%28.03%2F4%29%29%5E%284t%29%29 ALIGN=MIDDLE  ALT=\"31000%281+%2B+%28.03%2F4%29%29%5E%284t%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 33405.06<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=31000%281.0075%29%5E%284t%29%29 ALIGN=MIDDLE  ALT=\"31000%281.0075%29%5E%284t%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 33405.06<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281.0075%29%5E%284t%29%29 ALIGN=MIDDLE  ALT=\"%281.0075%29%5E%284t%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=33405.06%2F31000 ALIGN=MIDDLE  ALT=\"33405.06%2F31000\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281.0075%29%5E%284t%29%29 ALIGN=MIDDLE  ALT=\"%281.0075%29%5E%284t%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1.0775826<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%281.0075%29%5E%284t%29%29 ALIGN=MIDDLE  ALT=\"log%281.0075%29%5E%284t%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = log(1.0775826)<BR>\n" );
document.write( "4t*log(1.0075) = log(1.0775826)<BR>\n" );
document.write( "4t = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%281.0775826%29%2Flog%281.0075%29 ALIGN=MIDDLE  ALT=\"log%281.0775826%29%2Flog%281.0075%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >; use the calc here<BR>\n" );
document.write( "4t = 10.00<BR>\n" );
document.write( "t = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%2F4 ALIGN=MIDDLE  ALT=\"10%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "t = 2.5 yrs </SPAN>\n" );
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