document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=945779>Question 945779</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How long does it take a $1000 investment to earn $100 interest if it is invested at 4% interest compounded quarterly? \r<BR>\n" );
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document.write( "Use the formula : A = P(1+r/n)^(n)(t) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #576935 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=576935\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+A+ ALIGN=MIDDLE  ALT=\"+A+\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the amount you end up with<BR>\n" );
document.write( "after time <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+ ALIGN=MIDDLE  ALT=\"+t+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+A+=+1000+%2B+100+=+1100+ ALIGN=MIDDLE  ALT=\"+A+=+1000+%2B+100+=+1100+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+P+ ALIGN=MIDDLE  ALT=\"+P+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = amount you started out with<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+P+=+1000+ ALIGN=MIDDLE  ALT=\"+P+=+1000+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+n+=+4+ ALIGN=MIDDLE  ALT=\"+n+=+4+\"   DISABLED_style= \"max-width:90%; height:auto;\" > because of compounding<BR>\n" );
document.write( "quarterly<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+r+=+.04+ ALIGN=MIDDLE  ALT=\"+r+=+.04+\"   DISABLED_style= \"max-width:90%; height:auto;\" > is a 4% interest rate<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1100+=+1000%2A%28+1+%2B+.04%2F4+%29%5E%284t%29+ ALIGN=MIDDLE  ALT=\"+1100+=+1000%2A%28+1+%2B+.04%2F4+%29%5E%284t%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1100+=+1000%2A%28+1.01%29%5E%284t%29+ ALIGN=MIDDLE  ALT=\"+1100+=+1000%2A%28+1.01%29%5E%284t%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Divide both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1000+ ALIGN=MIDDLE  ALT=\"+1000+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1.1+=+%28+1.01+%29%5E%284t%29+ ALIGN=MIDDLE  ALT=\"+1.1+=+%28+1.01+%29%5E%284t%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Take the log base <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+10+ ALIGN=MIDDLE  ALT=\"+10+\"   DISABLED_style= \"max-width:90%; height:auto;\" > of both sides<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+log%28%28+1.1+%29%29+=+log%28%28+1.01%5E%284t%29+%29%29+ ALIGN=MIDDLE  ALT=\"+log%28%28+1.1+%29%29+=+log%28%28+1.01%5E%284t%29+%29%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%28+1.1+%29%29+=+4t%2Alog%28%28+1.01+%29%29+ ALIGN=MIDDLE  ALT=\"+log%28%28+1.1+%29%29+=+4t%2Alog%28%28+1.01+%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+4t+=+log%28%28+1.1%29%29+%2F+log%28%28+1.01+%29%29+ ALIGN=MIDDLE  ALT=\"+4t+=+log%28%28+1.1%29%29+%2F+log%28%28+1.01+%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+log%28%28+1.1+%29%29+%2F+%28+4%2Alog%28%28+1.01+%29+%29%29+ ALIGN=MIDDLE  ALT=\"+t+=+log%28%28+1.1+%29%29+%2F+%28+4%2Alog%28%28+1.01+%29+%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+.041393+%2F+%28+4%2A.00432137+%29+ ALIGN=MIDDLE  ALT=\"+t+=+.041393+%2F+%28+4%2A.00432137+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+.041393+%2F+.0172855+ ALIGN=MIDDLE  ALT=\"+t+=+.041393+%2F+.0172855+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+2.394666+ ALIGN=MIDDLE  ALT=\"+t+=+2.394666+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "2.394666 years<BR>\n" );
document.write( "-------------<BR>\n" );
document.write( "check:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1100+=+1000%2A%28+1+%2B+.04%2F4+%29%5E%284t%29+ ALIGN=MIDDLE  ALT=\"+1100+=+1000%2A%28+1+%2B+.04%2F4+%29%5E%284t%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1100+=+1000%2A%28+1+%2B+.04%2F4+%29%5E%284%2A2.394666%29+ ALIGN=MIDDLE  ALT=\"+1100+=+1000%2A%28+1+%2B+.04%2F4+%29%5E%284%2A2.394666%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1100+=+1000%2A%28+1+%2B+.04%2F4+%29%5E%289.578664%29+ ALIGN=MIDDLE  ALT=\"+1100+=+1000%2A%28+1+%2B+.04%2F4+%29%5E%289.578664%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1.1+=+1.01%5E9.578664+ ALIGN=MIDDLE  ALT=\"+1.1+=+1.01%5E9.578664+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1.1+=+1.1000008+ ALIGN=MIDDLE  ALT=\"+1.1+=+1.1000008+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "close enough\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );