document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1069261>Question 1069261</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If the compound interest formula is solved for a, we get\r<BR>\n" );
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document.write( " a equals StartFraction y Over left-parenthesis 1 plus n right-parenthesis Superscript t EndFraction\r<BR>\n" );
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document.write( "where a is the amount that must be deposited now at interest rate n to produce an amount y in t years. How much money would have to be invested at 7.5% per year to accumulate to $10000 in 13 years?\r<BR>\n" );
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document.write( "Round to the nearest dollar. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #684505 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=684505\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I agree that with<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y ALIGN=MIDDLE  ALT=\"y\"   DISABLED_style= \"max-width:90%; height:auto;\" >= final balance,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a ALIGN=MIDDLE  ALT=\"a\"   DISABLED_style= \"max-width:90%; height:auto;\" >= amount initially deposited/invested,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n ALIGN=MIDDLE  ALT=\"n\"   DISABLED_style= \"max-width:90%; height:auto;\" >= annual yield (as a decimal),<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t ALIGN=MIDDLE  ALT=\"t\"   DISABLED_style= \"max-width:90%; height:auto;\" >=  number of years,<BR>\n" );
document.write( "the relationship between those variables is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=a%2A%281%2Bn%29%5Et ALIGN=MIDDLE  ALT=\"y=a%2A%281%2Bn%29%5Et\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=y%2F%281%2Bn%29%5Et ALIGN=MIDDLE  ALT=\"a=y%2F%281%2Bn%29%5Et\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( " <BR>\n" );
document.write( "In this case, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n=0.075 ALIGN=MIDDLE  ALT=\"n=0.075\"   DISABLED_style= \"max-width:90%; height:auto;\" > because the yield per year is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%227.5%25%22=7.5%2F100=0.075 ALIGN=MIDDLE  ALT=\"%227.5%25%22=7.5%2F100=0.075\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "All you have to do is substitute the values for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y ALIGN=MIDDLE  ALT=\"y\"   DISABLED_style= \"max-width:90%; height:auto;\" > , <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n ALIGN=MIDDLE  ALT=\"n\"   DISABLED_style= \"max-width:90%; height:auto;\" > , and <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( "a =<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%22%2410%2C000%22%2F%281%2B0.075%29%5E13 ALIGN=MIDDLE  ALT=\"%22%2410%2C000%22%2F%281%2B0.075%29%5E13\"   DISABLED_style= \"max-width:90%; height:auto;\" >=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%22%2410%2C000%22%2F1.075%5E13 ALIGN=MIDDLE  ALT=\"%22%2410%2C000%22%2F1.075%5E13\"   DISABLED_style= \"max-width:90%; height:auto;\" >=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%22%2410%2C000%22%2F2.560413069=highlight%28%22%243%2C905.62%22%29 ALIGN=MIDDLE  ALT=\"%22%2410%2C000%22%2F2.560413069=highlight%28%22%243%2C905.62%22%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "NOTE: The values <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2.560413069 ALIGN=MIDDLE  ALT=\"2.560413069\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%22%243%2C905.62%22 ALIGN=MIDDLE  ALT=\"%22%243%2C905.62%22\"   DISABLED_style= \"max-width:90%; height:auto;\" > are rounded,<BR>\n" );
document.write( "and I used help from the computer to calculate the final result,<BR>\n" );
document.write( "with the computer doing its best to calculate <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2.560413069 ALIGN=MIDDLE  ALT=\"2.560413069\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3905.62 ALIGN=MIDDLE  ALT=\"3905.62\"   DISABLED_style= \"max-width:90%; height:auto;\" > accurately,<BR>\n" );
document.write( "and properly rounding the results for display purposes. </SPAN>\n" );
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