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Substance A decomposes at a rate proportional to the amount of A present. a) Write an equation that gives the amount A left of an initial amount Ao after time t. b) It is found that 10 Ib of A will reduce to 5 lb in 4.7 hr. After how long will there be only 1 lb left? a) Choose the equation that gives A in terms of Ao, t, and k, where k> 0. kt O A. A(t) = A," B. A(t) = A, e kt - kt c. A(t) = Ag e - kt O D. A(t) = A0 b) There will be 1 lb left after hr. (Do not round until the final answer. Then round to the nearest whole number as needed.)

Substance A decomposes at a rate proportional to the amount of A present. a) Write an equation that gives the amount A left of an initial amount Ao after time t. b) It is found that 10 Ib of A will reduce to 5 lb in 4.7 hr. After how long will there be only 1 lb left? a) Choose the equation that gives A in terms of Ao, t, and k, where k> 0. kt O A. A(t) = A," B. A(t) = A, e kt - kt c. A(t) = Ag e - kt O D. A(t) = A0 b) There will be 1 lb left after hr. (Do not round until the final answer. Then round to the nearest whole number as needed.)

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
Problem 13EQ
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Substance A decomposes at a rate proportional to the amount of A present. a) Write an equation that gives the amount A left of an initial amount An after time t. b) It is found that 10 Ib of A will reduce to 5 lb in 4.7 hr. After how long will there be only 1 lb left? a) Choose the equation that gives A in terms of An, t, and k, where k > 0. kt O A. A(t) = A kt B. A(t) = Ao e - kt C. A(t) = Ao e -kt D. A(t) = A0 b) There will be 1 lb left after hr. (Do not round until the final answer. Then round to the nearest whole number as needed.)
Transcribed Image Text:Substance A decomposes at a rate proportional to the amount of A present. a) Write an equation that gives the amount A left of an initial amount An after time t. b) It is found that 10 Ib of A will reduce to 5 lb in 4.7 hr. After how long will there be only 1 lb left? a) Choose the equation that gives A in terms of An, t, and k, where k > 0. kt O A. A(t) = A kt B. A(t) = Ao e - kt C. A(t) = Ao e -kt D. A(t) = A0 b) There will be 1 lb left after hr. (Do not round until the final answer. Then round to the nearest whole number as needed.)
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