document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1193254>Question 1193254</A>: <I><SPAN STYLE=\"word-break: break-all;\"> MAT 145: Topics In Contemporary Math\r<BR>\n" );
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document.write( "17: Exponential Growth\r<BR>\n" );
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document.write( "6) When Professor Holz’ cats were allowed outside, the population of birds and small fuzzy animals (chipmunks, squirrels, and rabbits) slowly decreased (both of his kitties are pretty good hunters!) The total population of the other animals decreased by 1% per week. If the neighborhood originally had 500 animals, how many were left after two years (104 weeks)? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #825273 by </B><A HREF=/tutors/aboutme.mpl?userid=Scott713><B>Scott713(2)</B></A><img src=\"/images/stars/iconNewId_16x16.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Scott713><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=Scott713><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=825273\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Exponential Decay Function: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=a%2A%281-b%29%5Ex ALIGN=MIDDLE  ALT=\"y=a%2A%281-b%29%5Ex\"   DISABLED_style= \"max-width:90%; height:auto;\" > where\r<BR>\n" );
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document.write( "\"a\" is the original amount<BR>\n" );
document.write( "\"x\" is the time<BR>\n" );
document.write( "\"b\" is the percent change in decimal form per unit of time\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=500%2A%281-0.01%29%5E104=175.805 ALIGN=MIDDLE  ALT=\"y=500%2A%281-0.01%29%5E104=175.805\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "or 175 small fuzzy animals would be left after the 104th week.<BR>\n" );
document.write( "(you don't round up to 176 unless 0.805 of an animal would still be alive!)<BR>\n" );
document.write( "(also, none would be left after the 619th week)\r<BR>\n" );
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document.write( "Here is a graph of the function using Desmos.com<BR>\n" );
document.write( "https://www.desmos.com/calculator/odknz9ms6t\r<BR>\n" );
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document.write( "Math check:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=175=500%2A%281-0.01%29%5Ex=104.456 ALIGN=MIDDLE  ALT=\"175=500%2A%281-0.01%29%5Ex=104.456\"   DISABLED_style= \"max-width:90%; height:auto;\" > which is the number of weeks </SPAN>\n" );
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