Question

the function Q(t)= Q(base o) e^(-kt) maybe be used to model radioactive decay. Q represents the quantity remaining after t years; k is the decay constant, 0.00011. How long in years will it take for a quantity of plutonium-240 to decay to 25% of its original amount?

Answer 1

Answer: 12,600 years

Explanation:

Answer 2

Half-Life = ln (.5) / k
Half-Life = .693147 / .00011
Half-Life = 6,301 years

For a radioactive substance to decay to 25%, it has to go through 2 halflives.

2 * 6,301 = 12,602 years
approximately 12,600 years