6.8.3-GC Question Help A radioactive material decays according to the function A(t) = An e -0.02441, where An 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 the radioactive material. (a) What is the decay rate of the radioactive material? (b) Graph the function using a graphing utility. (c) How much radioactive material is left after 40 years? (d) When will only 600 grams of the radioactive material be left? (e) What is the half-life of the radioactive material? (a) The decay rate of the radioactive material is - 2.44 %. (Type an integer or a decimal.) (b) Graph the function. Choose the correct graph below. The graphing window is [0,1600,100] by [0,1,0.25]. D. (c) There will be about gram(s) of the radioactive material left after 40 years. (Do not round until the final answer. Then round to the nearest tenth as needed.) - 0.0244t A radioactive material decays according to the function A(t) = Ao e Assume that a scientist has a sample of 800 grams of the radioactive material. (a) What is the decay rate of the radioactive material? (b) Graph the function using a graphing utility. (c) How much radioactive material is left after 40 years? (d) When will only 600 grams of the radioactive material be left? (e) What is the half-life of the radioactive material? where A, is the initial amount present and A is the amount present at time t (in years).

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter5: A Survey Of Other Common Functions
Section5.3: Modeling Data With Power Functions
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6.8.3-GC
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A radioactive material decays according to the function A(t) = An e -0.02441, where An 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 the radioactive material.
(a) What is the decay rate of the radioactive material?
(b) Graph the function using a graphing utility.
(c) How much radioactive material is left after 40 years?
(d) When will only 600 grams of the radioactive material be left?
(e) What is the half-life of the radioactive material?
(a) The decay rate of the radioactive material is - 2.44 %.
(Type an integer or a decimal.)
(b) Graph the function. Choose the correct graph below. The graphing window is [0,1600,100] by [0,1,0.25].
D.
(c) There will be about gram(s) of the radioactive material left after 40 years.
(Do not round until the final answer. Then round to the nearest tenth as needed.)
Transcribed Image Text:6.8.3-GC Question Help A radioactive material decays according to the function A(t) = An e -0.02441, where An 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 the radioactive material. (a) What is the decay rate of the radioactive material? (b) Graph the function using a graphing utility. (c) How much radioactive material is left after 40 years? (d) When will only 600 grams of the radioactive material be left? (e) What is the half-life of the radioactive material? (a) The decay rate of the radioactive material is - 2.44 %. (Type an integer or a decimal.) (b) Graph the function. Choose the correct graph below. The graphing window is [0,1600,100] by [0,1,0.25]. D. (c) There will be about gram(s) of the radioactive material left after 40 years. (Do not round until the final answer. Then round to the nearest tenth as needed.)
- 0.0244t
A radioactive material decays according to the function A(t) = Ao e
Assume that a scientist has a sample of 800 grams of the radioactive material.
(a) What is the decay rate of the radioactive material?
(b) Graph the function using a graphing utility.
(c) How much radioactive material is left after 40 years?
(d) When will only 600 grams of the radioactive material be left?
(e) What is the half-life of the radioactive material?
where A, is the initial amount present and A is the amount present at time t (in years).
Transcribed Image Text:- 0.0244t A radioactive material decays according to the function A(t) = Ao e Assume that a scientist has a sample of 800 grams of the radioactive material. (a) What is the decay rate of the radioactive material? (b) Graph the function using a graphing utility. (c) How much radioactive material is left after 40 years? (d) When will only 600 grams of the radioactive material be left? (e) What is the half-life of the radioactive material? where A, is the initial amount present and A is the amount present at time t (in years).
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