document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=388778>Question 388778</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How do I solve the following word problems:\r<BR>\n" );
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document.write( "1. If the population of a city is 178500 and it is growing at the rate of 2.1% per annum, in how many years will the population be 210000?\r<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 #275190 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=275190\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If the population of a city is 178500 and it is growing at <BR>\n" );
document.write( "the rate of 2.1% per annum, in how many years will the <BR>\n" );
document.write( "population be 210000?<BR>\n" );
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document.write( "A(t) = 178500*(1+0.021)^t<BR>\n" );
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document.write( "210,000 = 178500*1.02^t<BR>\n" );
document.write( "1.02^t = 1.17647<BR>\n" );
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document.write( "t = log(1.17647)/log(1.02)<BR>\n" );
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document.write( "t = 8.207 years<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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