Strontium-90 is a radioactive material that decays according to the function A(t) = Ao e -0.0244t, where Ao is the initial amount present and A is the amount present at time t (in years). Assume that a scientist has a sample of 800 grams of strontium-90. (a) What is the decay rate of strontium-90? (b) How much strontium-90 is left after 40 years? (c) When will only 200 grams of strontium-90 be left? (d) What is the half-life of strontium-90? CHI (a) The decay rate of strontium-90 is%. (Type an integer or a decimal. Include the negative sign for the decay rate.) (b) Approximately grams of strontium-90 is left after 40 years. (Do not round until the final answer. Then round to the nearest whole number as needed)

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
Problem 16EQ
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Strontium-90 is a radioactive material that decays according to the function A(t) = Ao e -0.0244t, where Ao is the initial amount present and A is the amount present at time t (in years). Assume that a scientist has a
sample of 800 grams of strontium-90.
(a) What is the decay rate of strontium-90?
(b) How much strontium-90 is left after 40 years?
(c) When will only 200 grams of strontium-90 be left?
(d) What is the half-life of strontium-90?
...
(a) The decay rate of strontium-90 is%.
(Type an integer or a decimal. Include the negative sign for the decay rate.)
(b) Approximately grams of strontium-90 is left after 40 years.
(Do not round until the final answer. Then round to the nearest whole number as needed.).
(c) Only 200 grams of strontium-90 will be left in about years.
(Do not round until the final answer. Then round to the nearest tenth as needed.)
(d) The half-life of strontium-90 is approximately years.
(Do not round until the final answer. Then round to the nearest tenth as needed.)
Transcribed Image Text:Strontium-90 is a radioactive material that decays according to the function A(t) = Ao e -0.0244t, where Ao is the initial amount present and A is the amount present at time t (in years). Assume that a scientist has a sample of 800 grams of strontium-90. (a) What is the decay rate of strontium-90? (b) How much strontium-90 is left after 40 years? (c) When will only 200 grams of strontium-90 be left? (d) What is the half-life of strontium-90? ... (a) The decay rate of strontium-90 is%. (Type an integer or a decimal. Include the negative sign for the decay rate.) (b) Approximately grams of strontium-90 is left after 40 years. (Do not round until the final answer. Then round to the nearest whole number as needed.). (c) Only 200 grams of strontium-90 will be left in about years. (Do not round until the final answer. Then round to the nearest tenth as needed.) (d) The half-life of strontium-90 is approximately years. (Do not round until the final answer. Then round to the nearest tenth as needed.)
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