Explanation Given: The original amount is 15000, Decay rate per year is 16% and number of years is 11. Concept Used: Exponential Decay: A quantity that decays by the same percent at regular time periods is said to have exponential decay. There are many real − life examples of exponential decay, such as population, bacteria, viruses, and radioactive substances, just to name a few. Modelling Exponential Decay: Exponential Decay: y = C ( 1 − r ) x C − Initial amount; x − numbers of time intervals, (1 − r) is growth factor; r is decay rate (often a percent) Calculation: Modelling Exponential Decay: Exponential Decay: y = C ( 1 − r ) x C − Initial amount; x − numbers of time intervals, (1 − r) is growth factor; r is decay rate (often a percent) Here: C = 15000; r = 16% and x = 11 y = C ( 1 − r ) x C = 15000 ; r = 16 % ;

15th Edition

ISBN: 9780321978929

Author: Martin-Gay

Publisher: PEARSON

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Chapter 19.4, Problem 10ES

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Find the amount after 11 years of decay.

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Find the amount after 11 years of decay.

Solution Summary: The author explains that exponential decay is a quantity that decays by the same percent at regular time periods, such as population, bacteria, viruses, and radioactive substances.

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Find the amount after 11 years of decay.

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