Strontium-90 is a radioactive material that decays according to the function A(t) = A0e-0.0244t , where A0 is the initial amount present and A is the amount present at time t (in years). Assume that a scientist has asample of 500 grams of strontium-90.(a) What is the decay rate of strontium-90?(b) Graph the function using a graphing utility.(c) How much strontium-90 is left after 10 years?(d) When will 400 grams of strontium-90 be left?(e) What is the half-life of strontium-90?

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter2: Exponential, Logarithmic, And Trigonometric Functions
Section2.3: Applications: Growth And Decay
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Strontium-90 is a radioactive material that decays according to the function A(t) = A0e-0.0244t , where A0 is the initial amount present and A is the amount present at time t (in years). Assume that a scientist has a
sample of 500 grams of strontium-90.
(a) What is the decay rate of strontium-90?
(b) Graph the function using a graphing utility.
(c) How much strontium-90 is left after 10 years?
(d) When will 400 grams of strontium-90 be left?
(e) What is the half-life of strontium-90?

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