document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1042662>Question 1042662</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me to solve this question.\r<BR>\n" );
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document.write( "Question 1<BR>\n" );
document.write( "Suppose a certain population grows according to the formula N = NoE^kt, where N is number of people  (in millions) at time t (in years), No is the number of people (in millions) when an observation was first made, and k is a constant. Suppose the population increases from 2 million to 32 million in 80 years.\r<BR>\n" );
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document.write( "1.1 Use the given formula to determine the constant k (leave your answer in ln, if necessary).\r<BR>\n" );
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document.write( "1.2 Calculate the time in which the population will double.\r<BR>\n" );
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document.write( "Question 2<BR>\n" );
document.write( "Suppose that an amount of $5000 is invested for 3 years, and the interest is  compounded monthly at an annual rate of 10%. Write down a formula, simplified as far as possible, to represent the amount that the investment will be worth after 3 years.\r<BR>\n" );
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document.write( "Do not calculate the answer.\r<BR>\n" );
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document.write( "Thank for your help... </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #657694 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=657694\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Question 1 looks like exponential growth, but you might want instead of the unknown E base, to use a more typical e base, approximately or close to 2.71828 something.  Write a better shown equation format <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=N=N%5Bo%5De%5E%28kt%29 ALIGN=MIDDLE  ALT=\"N=N%5Bo%5De%5E%28kt%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Your given data is population goes from 2 million to 32 million in 80 years.<BR>\n" );
document.write( "Question first asks, find k.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%28N%29=ln%28N%5Bo%5D%29%2Bln%28e%5E%28kt%29%29 ALIGN=MIDDLE  ALT=\"ln%28N%29=ln%28N%5Bo%5D%29%2Bln%28e%5E%28kt%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%28N%29=ln%28N%5Bo%5D%29%2Bkt%2Aln%28e%29 ALIGN=MIDDLE  ALT=\"ln%28N%29=ln%28N%5Bo%5D%29%2Bkt%2Aln%28e%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=kt%2Bln%28N%5Bo%5D%29=ln%28N%29 ALIGN=MIDDLE  ALT=\"kt%2Bln%28N%5Bo%5D%29=ln%28N%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28kt=ln%28N%29-ln%28N%5Bo%5D%29%29 ALIGN=MIDDLE  ALT=\"highlight%28kt=ln%28N%29-ln%28N%5Bo%5D%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  OR  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28kt=ln%28N%2FN%5Bo%5D%29%29 ALIGN=MIDDLE  ALT=\"highlight%28kt=ln%28N%2FN%5Bo%5D%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and you can use either of these to find a formula for k or for t.\r<BR>\n" );
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document.write( "TO get the value of k in question 1, make these substitutions after solving the formula for k:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28N=32%2CN%5Bo%5D=2%2Ct=80%29 ALIGN=MIDDLE  ALT=\"system%28N=32%2CN%5Bo%5D=2%2Ct=80%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >. </SPAN>\n" );
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