Question

PLEASE HELP

One of the byproducts of nuclear power generation is Uranium-233. Uranium is decaying at a constant 57% rate per day. If 3,820 pounds are produced from a power plant, what will the amount be in 15 days?


A.) 19,737,001.91
B.) 19,737,001
C.) 0.739

Answer 1

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 2

C) 0.739

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.

`y=a*e^(-kt)`, 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.

`57\%=(57)/(100)=0.57`

Upon substituting our given values in above formula we will get,

`y=3,820*e^(-0.57*15)`

`y=3,820*e^(-8.55)`

`y=3,820*0.0001935450995581`

`y=0.739342280311942\approx 0.739`

Therefore, the amount of Uranium-233 after 15 days will be 0.739 pounds and option C is the correct choice.