Certain radioactive material decays in such a way that the mass remaining after t years is given by the function: m(t) = 195e-0.045t where m(t) is measured in grams. (Round answers to 1 decimal place).

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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Certain radioactive material decays in such a
way that the mass remaining after t years is
given by the function: m(t) = 195e–0.045t
where m(t) is measured in grams. (Round
answers to 1 decimal place)
(a) Find the mass at time t = 0.
Your answer is
grams.
(b) How much of the mass remains after 10
years?
Your answer is
grams.
(c) How long will it take for the sample to lose
half of its mass?
Your answer is
years.
Transcribed Image Text:Certain radioactive material decays in such a way that the mass remaining after t years is given by the function: m(t) = 195e–0.045t where m(t) is measured in grams. (Round answers to 1 decimal place) (a) Find the mass at time t = 0. Your answer is grams. (b) How much of the mass remains after 10 years? Your answer is grams. (c) How long will it take for the sample to lose half of its mass? Your answer is years.
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