document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=905348>Question 905348</A>: <I><SPAN STYLE=\"word-break: break-all;\">     At present, the number of government personnel in NCR is estimated at 450,000. If it gains 2.3% of this number by accession and loses 1.2% of this number by separation regularly each year for 5 years. How many government personnel are there in NCR at the end of the period? ( answer is 474,750 show your solution ) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #549153 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=549153\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> you start with 450,000<BR>\n" );
document.write( "your growth each year is going to be .023 * 450,000 = 10,350<BR>\n" );
document.write( "multiply that by 5 and you get a total growth of 5 * 10,350 = 51,750\r<BR>\n" );
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document.write( "your losses each year is going to be .012 * 450,000 = 5,400.<BR>\n" );
document.write( "multiply  that by 5 and you get a total loss of 5 * 5,400 = 27,000.\r<BR>\n" );
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document.write( "your net growth is your growth minus your loss which is equal to 51,750 - 27,000 = 24,750.\r<BR>\n" );
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document.write( "add 24,750 to 450,000 and you get 474,750.\r<BR>\n" );
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document.write( "the formula for the net growth in this problem will be:\r<BR>\n" );
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document.write( "f = p + (p * (g - l) * n)<BR>\n" );
document.write( "f is the future value<BR>\n" );
document.write( "p is the present value<BR>\n" );
document.write( "g is the annual growth rate which is the annual growth percent divided by 100<BR>\n" );
document.write( "l is the annual loss rate which is the annual loss percent divided by 100\r<BR>\n" );
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document.write( "your formula becomes:\r<BR>\n" );
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document.write( "f = 450,000 + 450,000 * ((.023 - .012) * 5) which becomes:\r<BR>\n" );
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document.write( "f = 450,000 + 450,000 * (.011 * 5) which becomes:\r<BR>\n" );
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document.write( "f = 450,000 + 450,000 * .055 which becomes:\r<BR>\n" );
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document.write( "f = 450,000 + 24,750 which becomes:\r<BR>\n" );
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document.write( "f = 474,750\r<BR>\n" );
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document.write( " </SPAN>\n" );
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