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
icon
Related questions
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.
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.
Expert Solution
steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
Algebra for College Students
Algebra for College Students
Algebra
ISBN:
9781285195780
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,