Strontium-90 is a radioactive material that decays according to the function A(t) = Age-0.0244t, where A is the initial amount present and A is the amount present at time t (in years). Assume that a scientist has a sample of 400 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 300 grams of strontium-90 be left? (d) What is the half-life of strontium-90? ..... (a) The decay rate of strontium-90 is -2.44 %. (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.)
Strontium-90 is a radioactive material that decays according to the function A(t) = Age-0.0244t, where A is the initial amount present and A is the amount present at time t (in years). Assume that a scientist has a sample of 400 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 300 grams of strontium-90 be left? (d) What is the half-life of strontium-90? ..... (a) The decay rate of strontium-90 is -2.44 %. (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.)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Strontium-90 is a radioactive material that decays according to the function A(t) = Age-0.0244t, where A is the initial
amount present and A is the amount present at time t (in years). Assume that a scientist has a sample of 400 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 300 grams of strontium-90 be left?
(d) What is the half-life of strontium-90?
(a) The decay rate of strontium-90 is -2.44 %.
(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.)
5.8
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