Certain radioactive material decays in such a way that the mass remaining after t years is given by the function: m(t) = 425e 0.03t 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 45 years? Your answer is grams. (c) How long will it take for the sample to lose half of its mass? Your answer is years.
Certain radioactive material decays in such a way that the mass remaining after t years is given by the function: m(t) = 425e 0.03t 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 45 years? Your answer is grams. (c) How long will it take for the sample to lose half of its mass? Your answer is years.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 68RE
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Question
![Certain radioactive material decays in such a way that the mass remaining after t years is given by the
-0.03t
= 425e
function: m(t)
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 45 years?
Your answer is
grams.
(c) How long will it take for the sample to lose half of its mass?
Your answer is
years.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9546f28b-d85a-4d28-aa6c-948f4880bd46%2Fe8294adc-5894-4f5e-8378-99f621f17d6c%2Fsiunx6r_processed.png&w=3840&q=75)
Transcribed Image Text:Certain radioactive material decays in such a way that the mass remaining after t years is given by the
-0.03t
= 425e
function: m(t)
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 45 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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