document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=707283>Question 707283</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Algebra 1 problem using powers and exponents.\r<BR>\n" );
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document.write( "Someone offers to double the amount of money you have every day for 1 month (30 days). You have 1 nickel. On the first day, you will have 2 nickels worth $.10. On the second day, you will have 4 nickels worth $.20. How much money will you have on the 30th day? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #435636 by </B><A HREF=/tutors/aboutme.mpl?userid=jsmallt9><B>jsmallt9(3758)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jsmallt9><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=435636\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> This is essentially an exponential growth/decay problem. A general equation for these is:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+=+A%5B0%5D%2Ar%5Et ALIGN=MIDDLE  ALT=\"A+=+A%5B0%5D%2Ar%5Et\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "where<BR>\n" );
document.write( "t = number of units of time<BR>\n" );
document.write( "A = the amount after t units of time<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%5B0%5D ALIGN=MIDDLE  ALT=\"A%5B0%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > = the initial amount (IOW: The amount at t = 0)<BR>\n" );
document.write( "r = the factor of change for 1 unit of time. If r > 1 then the equation is for growth and if 0 < r < 1 then the equation is for decay.<br><BR>\n" );
document.write( "In your problem:<BR>\n" );
document.write( "n = 30 days<BR>\n" );
document.write( "r = 2 (since the amount doubles each day)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%5B0%5D ALIGN=MIDDLE  ALT=\"A%5B0%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 0.05<BR>\n" );
document.write( "So your equation is:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+=+0.05%2A2%5E30 ALIGN=MIDDLE  ALT=\"A+=+0.05%2A2%5E30\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Finding <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%5E30 ALIGN=MIDDLE  ALT=\"2%5E30\"   DISABLED_style= \"max-width:90%; height:auto;\" >:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+=+0.05%2A1073741824 ALIGN=MIDDLE  ALT=\"A+=+0.05%2A1073741824\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Multiplying:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+=+53687091.2 ALIGN=MIDDLE  ALT=\"A+=+53687091.2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So after 30 days you will have $53,687,091.20 (Close to $54 million dollars!!) </SPAN>\n" );
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