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?
Answers
Answer:
P(t)=.73934422803 or P(15)=.739
Step-by-step explanation:
So the formula is P(t)=Pe^-rt
P(t)=amount over time
P=initial population
r=growth rate, r>0
t=time
e≈2.7183
So its then:
P(15)=3820e^-.57(15)
P(15)=3820e^-8.55
P(15)=3820(1.935450996E-4)
P(15)=.73934422803 or P(15)=.739
Given : Uranium is decaying at a constant 57% rate per day.
3,820 pounds are produced from a power plant
To Find : amount be in 15 days
Solution:
Uranium is decaying at a constant 57% rate per day.
=> r = - 57 % per day ( -ve sign shows decay )
P = 3820 ( initail )
A = after n (15)days
n = 15 days
A = P (1 + R/100)ⁿ
A = 3820 (1 -57/100)¹⁵
=> A = 3820 (0.43)¹⁵
=> A = 0.012 pound
amount be in 15 days = 0.012 pound
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