document.write( "Question 681751: The half-life of a certain radioactive material is 42 days. An initial amount of the material has a mass of 49 kg. Write an exponential function that models the decay of this material. Find how much radioactive material remains after 8 days. Round your answer to the nearest thousandth. \n" ); document.write( "
Algebra.Com's Answer #422835 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
The half-life of a certain radioactive material is 42 days.
\n" ); document.write( " An initial amount of the material has a mass of 49 kg.
\n" ); document.write( " Write an exponential function that models the decay of this material.
\n" ); document.write( ":
\n" ); document.write( "A = Ao*2^(-t/h), where:
\n" ); document.write( "A = amt after t time
\n" ); document.write( "Ao = initial amt (t=0)
\n" ); document.write( "t = time of decay
\n" ); document.write( "h = half life of substance
\n" ); document.write( ":
\n" ); document.write( "A = 49*2^(-t/42)
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "Find how much radioactive material remains after 8 days.
\n" ); document.write( "A = 49*2^(-8/42)
\n" ); document.write( "A = 49*.8763
\n" ); document.write( "A = 42.9395 ~ 42.940, to the nearest thousandth. \n" ); document.write( "
\n" );