A certain radioactive substance decays exponentially. The percent, P, of the sub- stance left after t years is given by the formula P(t) = 100(1.2). a. Determine the half-life of the substance. b. Find the instantaneous rate of decay at the end of the first half-life period.

A certain radioactive substance decays exponentially. The percent, P, of the sub- stance left after t years is given by the formula P(t) = 100(1.2). a. Determine the half-life of the substance. b. Find the instantaneous rate of decay at the end of the first half-life period.

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter4: Exponential And Logarithmic Functions

Section: Chapter Questions

Problem 12CC: Suppose that the initial size of a population is n0 and the population grows exponentially. Let n(t)...

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.

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A certain radioactive substance decays exponentially. The percent, P, of the sub-
stance left after t years is given by the formula P(t) = 100(1.2)**
a. Determine the half-life of the substance.
b. Find the instantaneous rate of decay at the end of the first half-life period.

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