document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1040389>Question 1040389</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Refer to the economic loss index function below. The economic loss index in terms of x days of life is modeled by the formula:<BR>\n" );
document.write( "f(x)= 0.41 ln(x+1) +28<BR>\n" );
document.write( "a. evaluate f(0) and f(100).<BR>\n" );
document.write( "b. How many days does it take the economic loss index to be 31?\r<BR>\n" );
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document.write( "if you could please a step by step answer with some notes on the side i would greatly appreciate it.\r<BR>\n" );
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document.write( "Thank you </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #655199 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=655199\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> f(x)= 0.41 ln(x+1) +28<BR>\n" );
document.write( "f(0)=0.41* ln(1)+28, because x+1=1.<BR>\n" );
document.write( "ln(1)=0<BR>\n" );
document.write( "Therefore f(0)=28<BR>\n" );
document.write( "f(100)=0.41*ln(101)+28<BR>\n" );
document.write( "ln(101)=4.615<BR>\n" );
document.write( "Without rounding yet, multiply that by 0.41, then add 28.  Then round<BR>\n" );
document.write( "The first part is 1.892, and the answer is 29.892 to three places.<BR>\n" );
document.write( "f(x)=31<BR>\n" );
document.write( "31=0.41*ln(x+1)+28.  Subtract 28 from both sides<BR>\n" );
document.write( "3=0.41*ln(x+1), divide both sides by 0.41<BR>\n" );
document.write( "7.317=ln(x+1).  Don't round.  Now, raise both sides to the e power.  e ^ ln (x+1)=x=1 by definition.<BR>\n" );
document.write( "e^7.37=x+1<BR>\n" );
document.write( "1505.79=x+1<BR>\n" );
document.write( "to the nearest day, x=1504.79 or 1505 days<BR>\n" );
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document.write( "Check<BR>\n" );
document.write( "0.41 ln (1506)+28; ln (1506)=7.317<BR>\n" );
document.write( "7.317(0.41)=3.000<BR>\n" );
document.write( "3+28=31<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28300%2C200%2C-10%2C1500%2C-5%2C40%2C0.41%2Aln%28x%2B1%29%2B28%29 ALIGN=MIDDLE  ALT=\"graph%28300%2C200%2C-10%2C1500%2C-5%2C40%2C0.41%2Aln%28x%2B1%29%2B28%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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