document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1078264>Question 1078264</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Account A and B each start out with $500. If Account A earns $50 each year and Account B earns 5% of its value each year, after how many years will Account B have more money than Account A? If necessary, round your answer to the nearest year.<BR>\n" );
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document.write( "After about <BR>\n" );
document.write( " (blank) years Account B will have more money than Account A.<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #692873 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=692873\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Account A and B each start out with $500.<BR>\n" );
document.write( " If Account A earns $50 each year and Account B earns 5% of its value each year, after how many years will Account B have more money than Account A?<BR>\n" );
document.write( " If necessary, round your answer to the nearest year.<BR>\n" );
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document.write( "Let y = no. years for this to be true<BR>\n" );
document.write( "500*1.05^y > 500 + 50y<BR>\n" );
document.write( "1.05^y > <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28500%2B50y%29%2F500 ALIGN=MIDDLE  ALT=\"%28500%2B50y%29%2F500\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "1.05^y > 1 + .1y<BR>\n" );
document.write( "1.05^y -.1y - 1 = 0 Graphically<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+200%2C+-10%2C+50%2C+-2%2C+4%2C+1.05%5Ex-.1x-1%29+ ALIGN=MIDDLE  ALT=\"+graph%28+300%2C+200%2C+-10%2C+50%2C+-2%2C+4%2C+1.05%5Ex-.1x-1%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "\"After about\" 27 yrs \"years Account B will have more money than Account A.\"<BR>\n" );
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document.write( "Check this on the your calc<BR>\n" );
document.write( "Account A: 27(50) + 500 = $1850<BR>\n" );
document.write( "Account B: 500(1.05^27) = $1866.73  </SPAN>\n" );
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