The half the life of a certain radioactive material is 42 days. and 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 eight days. round your answer to the nearest thousandth.

42.940 kg radioactive material remains after eight days

Step-by-step explanation:

The half the life of a certain radioactive material is 42 days. And initial amount of the material has a mass of 49 kg.

the formula for half life is

Final value = initial value (1/2)^(Time /t(half life ))

LEt the final amount be A

initial amount = 49

t(half life ) = 42

so exponential function is  

A =49 (1/2)^(Time /42)

WE need to find out A  when time = 8 days

A =49 (1/2)^(8/42)= 42.93950= 42.940

21

step-by-step explanation:

inverse operation of addition