document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=761805>Question 761805</A>: <I><SPAN STYLE=\"word-break: break-all;\">  If 4 years of college are expected to cost $150,000 18 years from now, how much must be deposited now into an account that will average 8% annually in order to save the $150,000? By how much would your answer change if you expected 11% annually?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #463484 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=463484\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let <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 deposited now<BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+A+ ALIGN=MIDDLE  ALT=\"+A+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = the current savings<BR>\n" );
document.write( "After 1st year,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+A+=+P+%2B+.08P+ ALIGN=MIDDLE  ALT=\"+A+=+P+%2B+.08P+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "---------------<BR>\n" );
document.write( "After 2nd year,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+A+=+%28+P+%2B+.08P+%29+%2B+.08%2A%28+P+%2B+.08P+%29+ ALIGN=MIDDLE  ALT=\"+A+=+%28+P+%2B+.08P+%29+%2B+.08%2A%28+P+%2B+.08P+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+A+=+%28+P+%2B+.08P+%29%2A%28+1+%2B+.08+%29+ ALIGN=MIDDLE  ALT=\"+A+=+%28+P+%2B+.08P+%29%2A%28+1+%2B+.08+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+A+=+P%2A%28+1+%2B+.08+%29%2A%28+1+%2B+.08+%29+ ALIGN=MIDDLE  ALT=\"+A+=+P%2A%28+1+%2B+.08+%29%2A%28+1+%2B+.08+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "----------------<BR>\n" );
document.write( "After 3rd year,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+A+=++P%2A%28+1+%2B+.08+%29%2A%28+1+%2B+.08+%29+%2B+.08%2A%28+P%2A%28+1+%2B+.08+%29%2A%28+1+%2B+.08+%29+%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+A+=+P%2A%28+1+%2B+.08+%29%2A%28+1+%2B+.08+%29%2A%28+1+%2B+.08+%29+ ALIGN=MIDDLE  ALT=\"+A+=+P%2A%28+1+%2B+.08+%29%2A%28+1+%2B+.08+%29%2A%28+1+%2B+.08+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+A+=+P%2A%28+1+%2B+.08+%29%5E3+ ALIGN=MIDDLE  ALT=\"+A+=+P%2A%28+1+%2B+.08+%29%5E3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "----------------------<BR>\n" );
document.write( "So, this is the general rule:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+A+=+P%2A%28+1+%2B+.08+%29%5Et+ ALIGN=MIDDLE  ALT=\"+A+=+P%2A%28+1+%2B+.08+%29%5Et+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "where <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t+ ALIGN=MIDDLE  ALT=\"t+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = the number of years since initial deposit<BR>\n" );
document.write( "given:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+A+=+150000+ ALIGN=MIDDLE  ALT=\"+A+=+150000+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+18+ ALIGN=MIDDLE  ALT=\"+t+=+18+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+150000+=+P%2A%28+1+%2B+.08+%29%5E18+ ALIGN=MIDDLE  ALT=\"+150000+=+P%2A%28+1+%2B+.08+%29%5E18+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+150000+=+P%2A1.08%5E18+ ALIGN=MIDDLE  ALT=\"+150000+=+P%2A1.08%5E18+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+150000+=+3.996P+ ALIGN=MIDDLE  ALT=\"+150000+=+3.996P+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+P+=+37537.35+ ALIGN=MIDDLE  ALT=\"+P+=+37537.35+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "$37,537.35 needs to be deposited now<BR>\n" );
document.write( "---------------------------------<BR>\n" );
document.write( "Rate = 11%<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+150000+=+P%2A1.11%5E18+ ALIGN=MIDDLE  ALT=\"+150000+=+P%2A1.11%5E18+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+150000+=+6.544P+ ALIGN=MIDDLE  ALT=\"+150000+=+6.544P+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+P+=+22923.33+ ALIGN=MIDDLE  ALT=\"+P+=+22923.33+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "$22,923.33 needs to be deposited now\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );