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.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
Problem 13EQ
icon
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
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
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Recommended textbooks for you
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Functions and Change: A Modeling Approach to Coll…
Functions and Change: A Modeling Approach to Coll…
Algebra
ISBN:
9781337111348
Author:
Bruce Crauder, Benny Evans, Alan Noell
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning