document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1199028>Question 1199028</A>: <I><SPAN STYLE=\"word-break: break-all;\"> You have $1200 to invest in a bank account with interest rate of 4.5% compounded monthly. After how many years will your account total pass $2200.\r<BR>\n" );
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document.write( "The correct answer is one of the following. Which one is correct?\r<BR>\n" );
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document.write( "A) 12\r<BR>\n" );
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document.write( "B) 13\r<BR>\n" );
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document.write( "C) 14\r<BR>\n" );
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document.write( "D) 15 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #832775 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=832775\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "The  formula for compound interest is as follows:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=+P%281+%2B+r%2Fn%29%5E%28n%2At%29 ALIGN=MIDDLE  ALT=\"A=+P%281+%2B+r%2Fn%29%5E%28n%2At%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "where:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P ALIGN=MIDDLE  ALT=\"P\"   DISABLED_style= \"max-width:90%; height:auto;\" > : principal amount, or initial investment<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 after time <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( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r ALIGN=MIDDLE  ALT=\"r\"   DISABLED_style= \"max-width:90%; height:auto;\" > : interest rate<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;\" >: number of compounding periods, usually expressed in years<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\r<BR>\n" );
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document.write( "given:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P=1200 ALIGN=MIDDLE  ALT=\"P=1200\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=2200 ALIGN=MIDDLE  ALT=\"A=2200\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r=0.045 ALIGN=MIDDLE  ALT=\"r=0.045\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n=12 ALIGN=MIDDLE  ALT=\"n=12\"   DISABLED_style= \"max-width:90%; height:auto;\" > (compounded monthly)\r<BR>\n" );
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document.write( "find:\r<BR>\n" );
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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;\" >=\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=+P%281+%2B+r%2Fn%29%5E%28n%2At%29 ALIGN=MIDDLE  ALT=\"A=+P%281+%2B+r%2Fn%29%5E%28n%2At%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "we want to know when will be\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%281+%2B+r%2Fn%29%5E%28n%2At%29%3EA ALIGN=MIDDLE  ALT=\"P%281+%2B+r%2Fn%29%5E%28n%2At%29%3EA\"   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=1200%281+%2B+0.045%2F12%29%5E%2812%2At%29%3E2200 ALIGN=MIDDLE  ALT=\"1200%281+%2B+0.045%2F12%29%5E%2812%2At%29%3E2200\"   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=%281.00375%29%5E%2812%2At%29%3E2200%2F1200 ALIGN=MIDDLE  ALT=\"%281.00375%29%5E%2812%2At%29%3E2200%2F1200\"   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=%281.00375%29%5E%2812%2At%29%3E11%2F6 ALIGN=MIDDLE  ALT=\"%281.00375%29%5E%2812%2At%29%3E11%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "use log\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%28%281.00375%29%5E%2812%2At%29%29%3Elog%2811%2F6%29 ALIGN=MIDDLE  ALT=\"log%28%281.00375%29%5E%2812%2At%29%29%3Elog%2811%2F6%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=%2812%2At%29log%28%281.00375%29%29%3Elog%2811%2F6%29 ALIGN=MIDDLE  ALT=\"%2812%2At%29log%28%281.00375%29%29%3Elog%2811%2F6%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=12%2At%3Elog%2811%2F6%29%2Flog%28%281.00375%29%29 ALIGN=MIDDLE  ALT=\"12%2At%3Elog%2811%2F6%29%2Flog%28%281.00375%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=t%3Elog%2811%2F6%29%2F%2812log%28%281.00375%29%29%29 ALIGN=MIDDLE  ALT=\"t%3Elog%2811%2F6%29%2F%2812log%28%281.00375%29%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=t%3E13.4949 ALIGN=MIDDLE  ALT=\"t%3E13.4949\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "so,\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t=14 ALIGN=MIDDLE  ALT=\"t=14\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "account will surpass $<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2200 ALIGN=MIDDLE  ALT=\"2200\"   DISABLED_style= \"max-width:90%; height:auto;\" > after <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=14 ALIGN=MIDDLE  ALT=\"14\"   DISABLED_style= \"max-width:90%; height:auto;\" > years\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );