document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1091449>Question 1091449</A>: <I><SPAN STYLE=\"word-break: break-all;\"> You invest $ 27,000 for a period of 14 years and rely on an investment value of $ 100,000. With which monthly compound annual compound interest rate (12 times per year). You may get this amount at the end of the placement. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #705867 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=705867\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You invest $ 27,000 for a period of 14 years and rely on an investment value of $ 100,000.<BR>\n" );
document.write( " With which monthly compound annual compound interest rate (12 times per year). You may get this amount at the end of the placement.<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Using the formula <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+=+Ao%281%2B%28r%2Fn%29%29%5E%28nt%29 ALIGN=MIDDLE  ALT=\"A+=+Ao%281%2B%28r%2Fn%29%29%5E%28nt%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > where:<BR>\n" );
document.write( "A = final amt<BR>\n" );
document.write( "Ao = Initial amt<BR>\n" );
document.write( "r = interest rate in decimal form<BR>\n" );
document.write( "n = number of times interest is compound per year<BR>\n" );
document.write( "t = time in years<BR>\n" );
document.write( "in this problem we know:<BR>\n" );
document.write( "A = 100000<BR>\n" );
document.write( "Ao = 27000<BR>\n" );
document.write( "r is unknown<BR>\n" );
document.write( "n = 12<BR>\n" );
document.write( "t = 14 yrs<BR>\n" );
document.write( ":<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=27000%281%2B%28r%2F12%29%29%5E%28%2812%2A14%29%29%29+=+100000 ALIGN=MIDDLE  ALT=\"27000%281%2B%28r%2F12%29%29%5E%28%2812%2A14%29%29%29+=+100000\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2B%28r%2F12%29%29%5E168+=+100000%2F27000 ALIGN=MIDDLE  ALT=\"%281%2B%28r%2F12%29%29%5E168+=+100000%2F27000\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2B%28r%2F12%29%29%5E168+=+3.7037 ALIGN=MIDDLE  ALT=\"%281%2B%28r%2F12%29%29%5E168+=+3.7037\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "using natural logs, use the log equiv of the exponent<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=168ln%281%2B%28r%2F12%29%29+=+ln%28100000%2F27000%29 ALIGN=MIDDLE  ALT=\"168ln%281%2B%28r%2F12%29%29+=+ln%28100000%2F27000%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "find the ln<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=168ln%281%2B%28r%2F12%29%29+=+1.309 ALIGN=MIDDLE  ALT=\"168ln%281%2B%28r%2F12%29%29+=+1.309\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "divide both sides by 168<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%281%2B%28r%2F12%29%29+=+1.309%2F168 ALIGN=MIDDLE  ALT=\"ln%281%2B%28r%2F12%29%29+=+1.309%2F168\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%281%2B%28r%2F12%29%29+=+.0779365 ALIGN=MIDDLE  ALT=\"ln%281%2B%28r%2F12%29%29+=+.0779365\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Find the anti-ln of both sides<BR>\n" );
document.write( "1 + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%2F12 ALIGN=MIDDLE  ALT=\"r%2F12\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1.0078241 <BR>\n" );
document.write( "subtract 1 from both sides <BR>\n" );
document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%2F12 ALIGN=MIDDLE  ALT=\"r%2F12\"   DISABLED_style= \"max-width:90%; height:auto;\" > = .0078241<BR>\n" );
document.write( "multiply both sides by 12<BR>\n" );
document.write( "r =  .0934 or 9.34% interest rate required  <BR>\n" );
document.write( ":<BR>\n" );
document.write( "A lot of math here; you better check my work. CK                    </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );