An isotope of a radioactive element has decay constant equal to 0.06 per year. Initially, there are 3 million atoms of the isotope present. Since the isotope decays exponentially, the number of atoms obeys the following equation P=3e^-0.06t In this question, time is measured in years and the number of atoms, P, is measured in millions. What is the value of the decay constant? Decay constant : ___ per year. What is the half-life of the isotope? (Enter your answer correct to two decimal places.) Half-life : ___years. How many million atoms will be present after 7 years have passed? (Enter your answer correct to one decimal place.) Number present after 7 years : ___ million.
An isotope of a radioactive element has decay constant equal to 0.06 per year. Initially, there are 3 million atoms of the isotope present. Since the isotope decays exponentially, the number of atoms obeys the following equation P=3e^-0.06t In this question, time is measured in years and the number of atoms, P, is measured in millions. What is the value of the decay constant? Decay constant : ___ per year. What is the half-life of the isotope? (Enter your answer correct to two decimal places.) Half-life : ___years. How many million atoms will be present after 7 years have passed? (Enter your answer correct to one decimal place.) Number present after 7 years : ___ million.
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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An isotope of a radioactive element has decay constant equal to 0.06 per year.
Initially, there are 3 million atoms of the isotope present.
Since the isotope decays exponentially, the number of atoms obeys the following equation
P=3e^-0.06t
In this question, time is measured in years and the number of atoms, P, is measured in millions.
- What is the value of the decay constant?
Decay constant : ___ per year.
- What is the half-life of the isotope?
(Enter your answer correct to two decimal places.)
Half-life : ___years.
- How many million atoms will be present after 7 years have passed?
(Enter your answer correct to one decimal place.)
Number present after 7 years : ___ million.
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