document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=471320>Question 471320</A>: <I><SPAN STYLE=\"word-break: break-all;\"> [A=P(1+r/n)^nt]<BR>\n" );
document.write( "Amount invested: $12,500<BR>\n" );
document.write( "No. of compounding periods:4<BR>\n" );
document.write( "Annual interest rate: 5.75%<BR>\n" );
document.write( "Accumulated amount: $20,000<BR>\n" );
document.write( "Time t in years? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #323244 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=323244\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=P%281%2Br%2Fn%29%5E%28n%2At%29 ALIGN=MIDDLE  ALT=\"A=P%281%2Br%2Fn%29%5E%28n%2At%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the compound interest formula\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20000=12500%281%2B0.0575%2F4%29%5E%284%2At%29 ALIGN=MIDDLE  ALT=\"20000=12500%281%2B0.0575%2F4%29%5E%284%2At%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Plug in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=20000 ALIGN=MIDDLE  ALT=\"A=20000\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P=12500 ALIGN=MIDDLE  ALT=\"P=12500\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r=0.0575 ALIGN=MIDDLE  ALT=\"r=0.0575\"   DISABLED_style= \"max-width:90%; height:auto;\" > (the decimal equivalent of 5.75%), and <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;\" >.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20000=12500%281%2B0.014375%29%5E%284%2At%29 ALIGN=MIDDLE  ALT=\"20000=12500%281%2B0.014375%29%5E%284%2At%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Evaluate <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.0575%2F4 ALIGN=MIDDLE  ALT=\"0.0575%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.014375 ALIGN=MIDDLE  ALT=\"0.014375\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20000=12500%281.014375%29%5E%284%2At%29 ALIGN=MIDDLE  ALT=\"20000=12500%281.014375%29%5E%284%2At%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Add <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1 ALIGN=MIDDLE  ALT=\"1\"   DISABLED_style= \"max-width:90%; height:auto;\" > to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.014375 ALIGN=MIDDLE  ALT=\"0.014375\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1.014375 ALIGN=MIDDLE  ALT=\"1.014375\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20000%2F12500=%281.014375%29%5E%284%2At%29 ALIGN=MIDDLE  ALT=\"20000%2F12500=%281.014375%29%5E%284%2At%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12500 ALIGN=MIDDLE  ALT=\"12500\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1.6=%281.014375%29%5E%284%2At%29 ALIGN=MIDDLE  ALT=\"1.6=%281.014375%29%5E%284%2At%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Evaluate <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20000%2F12500 ALIGN=MIDDLE  ALT=\"20000%2F12500\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1.6 ALIGN=MIDDLE  ALT=\"1.6\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%281.6%29=ln%28%281.014375%29%5E%284%2At%29%29 ALIGN=MIDDLE  ALT=\"ln%281.6%29=ln%28%281.014375%29%5E%284%2At%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Take the natural log of both sides.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%281.6%29=4%2At%2Aln%281.014375%29 ALIGN=MIDDLE  ALT=\"ln%281.6%29=4%2At%2Aln%281.014375%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Pull down the exponent using the identity  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%28b%2C%28x%5Ey%29%29=y%2Alog%28b%2C%28x%29%29 ALIGN=MIDDLE  ALT=\"log%28b%2C%28x%5Ey%29%29=y%2Alog%28b%2C%28x%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%281.6%29%2Fln%281.014375%29=4%2At ALIGN=MIDDLE  ALT=\"ln%281.6%29%2Fln%281.014375%29=4%2At\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%281.014375%29 ALIGN=MIDDLE  ALT=\"ln%281.014375%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.470003629245736%2Fln%281.014375%29=4%2At ALIGN=MIDDLE  ALT=\"0.470003629245736%2Fln%281.014375%29=4%2At\"   DISABLED_style= \"max-width:90%; height:auto;\" > Evaluate the natural log of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1.6 ALIGN=MIDDLE  ALT=\"1.6\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.470003629245736 ALIGN=MIDDLE  ALT=\"0.470003629245736\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.470003629245736%2F0.0142726592867186=4%2At ALIGN=MIDDLE  ALT=\"0.470003629245736%2F0.0142726592867186=4%2At\"   DISABLED_style= \"max-width:90%; height:auto;\" > Evaluate the natural log of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1.014375 ALIGN=MIDDLE  ALT=\"1.014375\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.0142726592867186 ALIGN=MIDDLE  ALT=\"0.0142726592867186\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=32.930347442897=4%2At ALIGN=MIDDLE  ALT=\"32.930347442897=4%2At\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=32.930347442897%2F4=t ALIGN=MIDDLE  ALT=\"32.930347442897%2F4=t\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by 4 to isolate \"t\".\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8.23258686072426=t ALIGN=MIDDLE  ALT=\"8.23258686072426=t\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t=8.23258686072426 ALIGN=MIDDLE  ALT=\"t=8.23258686072426\"   DISABLED_style= \"max-width:90%; height:auto;\" > Rearrange the equation.\r<BR>\n" );
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document.write( "So it will take about 8.23 years\r<BR>\n" );
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