document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=954819>Question 954819</A>: <I><SPAN STYLE=\"word-break: break-all;\"> hi, <BR>\n" );
document.write( "I am having trouble understanding this question: <BR>\n" );
document.write( "Five years ago Greg invested $1500 at a fixed interest rate compounded quarterly. His investment is currently valued at $2800. Using logs determine the annual rate of interest? <BR>\n" );
document.write( "I do not understand how to find the interest rate without knowing how many years it took to grow. \r<BR>\n" );
document.write( "\n" );
document.write( "thanks <BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #583219 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=583219\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> His investment started <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+5+ ALIGN=MIDDLE  ALT=\"+5+\"   DISABLED_style= \"max-width:90%; height:auto;\" > years ago<BR>\n" );
document.write( "Use the formula:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+A+=+P%2A%28+1+%2B+r%2Fn+%29%5E%28n%2At%29++ ALIGN=MIDDLE  ALT=\"+A+=+P%2A%28+1+%2B+r%2Fn+%29%5E%28n%2At%29++\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+P+=+1500+ ALIGN=MIDDLE  ALT=\"+P+=+1500+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+A+=+2800+ ALIGN=MIDDLE  ALT=\"+A+=+2800+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+5+ ALIGN=MIDDLE  ALT=\"+t+=+5+\"   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;\" ><BR>\n" );
document.write( "------------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2800+=+1500%2A%28+1+%2B+r%2F4+%29%5E%28+4%2A5%29+ ALIGN=MIDDLE  ALT=\"+2800+=+1500%2A%28+1+%2B+r%2F4+%29%5E%28+4%2A5%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+1+%2B+r%2F4+%29%5E20+=+2800%2F1500+ ALIGN=MIDDLE  ALT=\"+%28+1+%2B+r%2F4+%29%5E20+=+2800%2F1500+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+1+%2B+r%2F4+%29%5E20+=+1.8667+ ALIGN=MIDDLE  ALT=\"+%28+1+%2B+r%2F4+%29%5E20+=+1.8667+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Take the log of both sides<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+log%28%28+%28+1+%2B+r%2F4+%29%5E20+%29%29+=+log%28+1.8667+%29+ ALIGN=MIDDLE  ALT=\"+log%28%28+%28+1+%2B+r%2F4+%29%5E20+%29%29+=+log%28+1.8667+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+20%2Alog%28%28+1+%2B+r%2F4+%29%29+=+log%28+1.8667+%29+ ALIGN=MIDDLE  ALT=\"+20%2Alog%28%28+1+%2B+r%2F4+%29%29+=+log%28+1.8667+%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+%2B+r%2F4+%29%29+=+%281%2F20%29%2A.27107+ ALIGN=MIDDLE  ALT=\"+log%28%28+1+%2B+r%2F4+%29%29+=+%281%2F20%29%2A.27107+\"   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+%2B+r%2F4+%29%29+=+.0135535+ ALIGN=MIDDLE  ALT=\"+log%28%28+1+%2B+r%2F4+%29%29+=+.0135535+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1+%2B+r%2F4+=+10%5E.0135535+ ALIGN=MIDDLE  ALT=\"+1+%2B+r%2F4+=+10%5E.0135535+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1+%2B+r%2F4+=+1.0317+ ALIGN=MIDDLE  ALT=\"+1+%2B+r%2F4+=+1.0317+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+r%2F4+=+.0317+ ALIGN=MIDDLE  ALT=\"+r%2F4+=+.0317+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+r+=+.1268+ ALIGN=MIDDLE  ALT=\"+r+=+.1268+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The annual rate is 12.68%<BR>\n" );
document.write( "-------------------------<BR>\n" );
document.write( "check:<BR>\n" );
document.write( "------------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2800+=+1500%2A%28+1+%2B+r%2F4+%29%5E20+ ALIGN=MIDDLE  ALT=\"+2800+=+1500%2A%28+1+%2B+r%2F4+%29%5E20+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2800+=+1500%2A%28+1+%2B+.1268%2F4+%29%5E20+ ALIGN=MIDDLE  ALT=\"+2800+=+1500%2A%28+1+%2B+.1268%2F4+%29%5E20+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2800+=+1500%2A%28+1+%2B+.0317+%29%5E20+ ALIGN=MIDDLE  ALT=\"+2800+=+1500%2A%28+1+%2B+.0317+%29%5E20+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2800+=+1500%2A%28+1.0317+%29%5E20+ ALIGN=MIDDLE  ALT=\"+2800+=+1500%2A%28+1.0317+%29%5E20+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2800+=+1500%2A1.86667+ ALIGN=MIDDLE  ALT=\"+2800+=+1500%2A1.86667+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2800+=+2800.0119+ ALIGN=MIDDLE  ALT=\"+2800+=+2800.0119+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "close enough<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );