Respuesta :
C because if you subtract 57 from 100, you get 43. Then you take the total amount of Uranium and multiply it by 43 15 times you get 0.739
Answer:
C) 0.739
Step-by-step explanation:
We have been given Uranium-233 is decaying at a constant 57% rate per day. There were 3,820 pounds of Uranium-233 produced from a power plant.
To find the amount of uranium left after 15 days we will use continuous exponential decay function.
[tex]y=a*e^{-kt}[/tex], where,
a = Initial amount,
e = Mathematical constant,
k = A number representing decay rate in decimal form.
t = Time.
Let us convert our given rate in decimal form.
[tex]57\%=\frac{57}{100}=0.57[/tex]
Upon substituting our given values in above formula we will get,
[tex]y=3,820*e^{-0.57*15}[/tex]
[tex]y=3,820*e^{-8.55}[/tex]
[tex]y=3,820*0.0001935450995581[/tex]
[tex]y=0.739342280311942\approx 0.739[/tex]
Therefore, the amount of Uranium-233 after 15 days will be 0.739 pounds and option C is the correct choice.
