document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1200808>Question 1200808</A>: <I><SPAN STYLE=\"word-break: break-all;\"> It has been projected by UNDP that the population of Wakanda will increase by 0.8%<BR>\n" );
document.write( "for each of the next quarters for 5 years. If Wakanda registered a population of 25,000<BR>\n" );
document.write( "in the second quarter of 2023 (base period):\r<BR>\n" );
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document.write( "a. What is the expected population in Wakanda after the third quarter in 2025?\r<BR>\n" );
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document.write( "b. What is the expected population in Wakanda after the first quarter in 2030? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #835092 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=835092\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> growth rate of .8% per quarter gives a growth factor of 1.008 per quarter.<BR>\n" );
document.write( "population in the second quarter of 2023 is 25,000.\r<BR>\n" );
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document.write( "a. What is the expected population in Wakanda after the third quarter in 2025?<BR>\n" );
document.write( "population in second quarter of 2025 is 4 * (2025 minus 2023) = 4 * 2 = 8 quarters from second quarter of 2023.<BR>\n" );
document.write( "population in third quarter of 2025 is 1 quarter more than that = 9 quarters from second quarter of 2023.<BR>\n" );
document.write( "population in third quarter of 2025 will be 25,000 * 1.008 ^ 9 = 26858.68821.\r<BR>\n" );
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document.write( "b. What is the expected population in Wakanda after the first quarter in 2030?<BR>\n" );
document.write( "second quarter in 2030 is 4 * (2030 - 2023) = 4 * 7 = 28 quarters from second quarter of 2023.<BR>\n" );
document.write( "population in first quarter of 2030 is 1 quarter less than that = 27 quarters from second quarter of 2023.<BR>\n" );
document.write( "population in first quarter of 2030 will be 25,000 * 1.008 ^ 27 = 31000.90524.\r<BR>\n" );
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document.write( "hee's what it looks like on a graph.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2023/031002.jpg\"><BR>\n" );
document.write( "the equation graphed is y = 25000 * 1.008 ^ x\r<BR>\n" );
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