SOLUTION: Sodium-24 is a radioactive isotope of sodium that is used to study circulatory dysfunction. Assuming that 4 micrograms of sodium-24 are injected into a person, the amount A in micr

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Question 1006212: Sodium-24 is a radioactive isotope of sodium that is used to study circulatory dysfunction. Assuming that 4 micrograms of sodium-24 are injected into a person, the amount A in micrograms remaining in that person after t hours is given by the equation A = 4e^−0.046t.
(b) What amount of sodium-24 remains after 8 hours? (Round your answer to two decimal places.)

=µg
(c) What is the half-life of sodium-24? (Round your answer to two decimal places.)

=h
(d) In how many hours will the amount of sodium-24 be 1 microgram? (Round your answer to two decimal places.)

=h

Answer by josgarithmetic(39617)   (Show Source): You can put this solution on YOUR website!
The decay model written better, .

(b)
After 8 hours, just plug-in t=8 and compute A.

(c)
Very simply choose to find half-life.




Compute to
, in HOURS

(d)
This is similar to finding half-life.
You want A=1, and again find logarithms of both sides of the decay equation, to
solve for t.




and you can finish the computing.

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