8) A bacterial culture has an initial population of 10,000. If its population declines to 3000 in 8 hours, what will it be at the end of 10 hours? Assume that the population decreases according to the exponential model.
8) A bacterial culture has an initial population of 10,000. If its population declines to 3000 in 8 hours, what will it be at the end of 10 hours? Assume that the population decreases according to the exponential model.
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
Related questions
Question
No 8
![Solve the problem.
5) A sample of 300 grams of radioactive substance decays according to the function
A(t) = 300e-0.047t, where t is the time in years. How much of the substance will be left in
the sample after 20 years? Round to the nearest whole gram.
5)
6) How long will it take a sample of radioactive substance to decay to half of its original
amount, if it decays according to the function A(t) = 600e-0.082t, where t is the time in
years? Round to the nearest hundredth year.
7) A certain radioactive isotope has a half-life of 555 years. Determine the annual decay rate,
k.
8) A bacterial culture has an initial population of 10,000. If its population declines to 3000 in
8 hours, what will it be at the end of 10 hours? Assume that the population decreases
according to the exponential model.
Solve.
9) If the population of a certain country doubles in 16.91 years, find the growth rate k.
Assume that the population increases exponentially.
10) The half-life of silicon-32 is 710 years. If 40 grams is present now, how much will be
present in 700 years? (Round your answer to three decimal places.)
X100
R =-9.7626
710
R -9163%
- 9183(10)
P (100) -40e](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8e8b7e03-8b3f-4682-a21a-4c3c3b06b195%2F70abde30-553c-4d83-809a-a2b4be2bc197%2Fukitme_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Solve the problem.
5) A sample of 300 grams of radioactive substance decays according to the function
A(t) = 300e-0.047t, where t is the time in years. How much of the substance will be left in
the sample after 20 years? Round to the nearest whole gram.
5)
6) How long will it take a sample of radioactive substance to decay to half of its original
amount, if it decays according to the function A(t) = 600e-0.082t, where t is the time in
years? Round to the nearest hundredth year.
7) A certain radioactive isotope has a half-life of 555 years. Determine the annual decay rate,
k.
8) A bacterial culture has an initial population of 10,000. If its population declines to 3000 in
8 hours, what will it be at the end of 10 hours? Assume that the population decreases
according to the exponential model.
Solve.
9) If the population of a certain country doubles in 16.91 years, find the growth rate k.
Assume that the population increases exponentially.
10) The half-life of silicon-32 is 710 years. If 40 grams is present now, how much will be
present in 700 years? (Round your answer to three decimal places.)
X100
R =-9.7626
710
R -9163%
- 9183(10)
P (100) -40e
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 1 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Recommended textbooks for you
![Algebra and Trigonometry (6th Edition)](https://www.bartleby.com/isbn_cover_images/9780134463216/9780134463216_smallCoverImage.gif)
Algebra and Trigonometry (6th Edition)
Algebra
ISBN:
9780134463216
Author:
Robert F. Blitzer
Publisher:
PEARSON
![Contemporary Abstract Algebra](https://www.bartleby.com/isbn_cover_images/9781305657960/9781305657960_smallCoverImage.gif)
Contemporary Abstract Algebra
Algebra
ISBN:
9781305657960
Author:
Joseph Gallian
Publisher:
Cengage Learning
![Linear Algebra: A Modern Introduction](https://www.bartleby.com/isbn_cover_images/9781285463247/9781285463247_smallCoverImage.gif)
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
![Algebra and Trigonometry (6th Edition)](https://www.bartleby.com/isbn_cover_images/9780134463216/9780134463216_smallCoverImage.gif)
Algebra and Trigonometry (6th Edition)
Algebra
ISBN:
9780134463216
Author:
Robert F. Blitzer
Publisher:
PEARSON
![Contemporary Abstract Algebra](https://www.bartleby.com/isbn_cover_images/9781305657960/9781305657960_smallCoverImage.gif)
Contemporary Abstract Algebra
Algebra
ISBN:
9781305657960
Author:
Joseph Gallian
Publisher:
Cengage Learning
![Linear Algebra: A Modern Introduction](https://www.bartleby.com/isbn_cover_images/9781285463247/9781285463247_smallCoverImage.gif)
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
![Algebra And Trigonometry (11th Edition)](https://www.bartleby.com/isbn_cover_images/9780135163078/9780135163078_smallCoverImage.gif)
Algebra And Trigonometry (11th Edition)
Algebra
ISBN:
9780135163078
Author:
Michael Sullivan
Publisher:
PEARSON
![Introduction to Linear Algebra, Fifth Edition](https://www.bartleby.com/isbn_cover_images/9780980232776/9780980232776_smallCoverImage.gif)
Introduction to Linear Algebra, Fifth Edition
Algebra
ISBN:
9780980232776
Author:
Gilbert Strang
Publisher:
Wellesley-Cambridge Press
![College Algebra (Collegiate Math)](https://www.bartleby.com/isbn_cover_images/9780077836344/9780077836344_smallCoverImage.gif)
College Algebra (Collegiate Math)
Algebra
ISBN:
9780077836344
Author:
Julie Miller, Donna Gerken
Publisher:
McGraw-Hill Education