document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=821303>Question 821303</A>: <I><SPAN STYLE=\"word-break: break-all;\"> my problem is: \"The amount accumulated in a bank account over a time period 't' and based on an initial deposit of $200 is found using the formulas A(t)=200(1.025) and it has a squared 't' at the end of the closing parenthesis., t is less than or equal to 0. Time, t, is represented on the horizontal axis. the accumulated amount, A(t), is represented on the vertical axis.\"<BR>\n" );
document.write( "what i want to know is:<BR>\n" );
document.write( "a.How do you find the x-intercept?<BR>\n" );
document.write( "b.How do you find the doain?<BR>\n" );
document.write( "c.How to find the range?<BR>\n" );
document.write( "d.And how to find out if the function has a max or min. value? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #494005 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=494005\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \"The amount accumulated in a bank account over a time period 't' and based on an initial deposit of $200 is found using the formulas A(t)=200(1.025) and it has a squared 't' at the end of the closing parenthesis., t is less than or equal to 0. Time, t, is represented on the horizontal axis. the accumulated amount, A(t), is represented on the vertical axis.\"<BR>\n" );
document.write( "A(t)=200(1.025)^t<BR>\n" );
document.write( "--------------------------<BR>\n" );
document.write( "what i want to know is:<BR>\n" );
document.write( "a.How do you find the x-intercept?<BR>\n" );
document.write( "Let A(t) be zero; then solve for \"t\":<BR>\n" );
document.write( "200(1.025)^t = 0<BR>\n" );
document.write( "(1.025)^t = 0<BR>\n" );
document.write( "Note: there is no value of \"t\" that will make 1.025^t equal zero.<BR>\n" );
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document.write( "b.How do you find the domain?<BR>\n" );
document.write( "Since A(t) is the amount in the bank and \"t\" is time.<BR>\n" );
document.write( "the domain is 0<= t <= oo<BR>\n" );
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document.write( "c.How to find the range?<BR>\n" );
document.write( "Since 1.025 is greater than 1 and t >= 0, A(t) >= 200<BR>\n" );
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document.write( "d.And how to find out if the function has a max or min. value?<BR>\n" );
document.write( "Since 1.025 is greater than 1 there is no max.<BR>\n" );
document.write( "Since A(t) is asymptotic to zero there is no minimum.<BR>\n" );
document.write( "However, since t >= 0, A(t) is >=200.<BR>\n" );
document.write( "===========================================<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28400%2C400%2C-10%2C50%2C-10%2C1000%2C200%281.025%29%5Ex%29 ALIGN=MIDDLE  ALT=\"graph%28400%2C400%2C-10%2C50%2C-10%2C1000%2C200%281.025%29%5Ex%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "===========================================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "============= </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );