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.

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
Section4.5: Exponential And Logarithmic Equations
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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.
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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