document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1024454>Question 1024454</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Help Please\r<BR>\n" );
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document.write( "A bank features a savings account that has an annual percentage rate of r=4.7<BR>\n" );
document.write( "% with interest compounded quarterly. Zach deposits $3,500 into the account. \r<BR>\n" );
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document.write( " The account balance can be modeled by the exponential formula S(t)=P(1+r/n)^nt<BR>\n" );
document.write( ", where S is the future value, P is the present value, r is the annual percentage rate, n is the number of times each year that the interest is compounded, and t is the time in years. \r<BR>\n" );
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document.write( " (A) What values should be used for P, r, and n? \r<BR>\n" );
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document.write( "P=  <BR>\n" );
document.write( "r=<BR>\n" );
document.write( "n=<BR>\n" );
document.write( "B) How much money will Zach have in the account in 8 years? <BR>\n" );
document.write( " Answer = $ .  Round answer to the nearest penny.\r<BR>\n" );
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document.write( "2. The number of bacteria in a culture is given by the function <BR>\n" );
document.write( "n(t)=955e0.25t where t is measured in hours. <BR>\n" );
document.write( " (a) What is the relative rate of growth of this bacterium population? <BR>\n" );
document.write( " Your answer is      percent <BR>\n" );
document.write( " (b) What is the initial population of the culture (at t=0)? <BR>\n" );
document.write( "       <BR>\n" );
document.write( " (c) How many bacteria will the culture contain at time t=5? <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 #692435 by </B><A HREF=/tutors/aboutme.mpl?userid=jorel1380><B>jorel1380(3719)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jorel1380><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=jorel1380><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=692435\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A)P=3500<BR>\n" );
document.write( "r=.047<BR>\n" );
document.write( "n=4<BR>\n" );
document.write( "B)After 8 years:<BR>\n" );
document.write( "S(8)=3500(1+(.047/4))^32<BR>\n" );
document.write( "S(8)=$5086.40 in the account after 8 years.\r<BR>\n" );
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document.write( "a)The relative growth rate is .25, or 25%<BR>\n" );
document.write( "b)at t=0, the population is 955e^.25(0)=955<BR>\n" );
document.write( "c)at t=5; the population is 955*e^.25(5)=955*3.49=3333.28 bacterium. &#9786;&#9786;&#9786;&#9786; </SPAN>\n" );
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