A bacteria culture starts with 880 bacteria and grows at a rate proportional to its size. After 3 hours there will be 2640 bacteria.(a) Express the population after t hours as a function of t.population:(b) What will be the population after 9 hours?(c) How long will it take for the population to reach 1530 ?(function of t)

Given: A bacteria culture starts with 880 bacteria and grows at a rate proportional to its size.…

Answered: A bacteria culture starts with 880…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

See similar textbooks

Similar questions

The fox population in a certain region has an annual growth rate of 8 percent per year. It is estimated that the population in the year 2000 was 29200. (a) Find a function that models the population t years after 2000 (t = 0 for 2000). Your answer is P(t) = (b) Use the function from part (a) to estimate the fox population in the year 2008. Your answer is (the answer should be an integer)
A tank holds 200 gal of water that contains 40 lb of dissolved salt. A brine (salt) solution is flowing into the tank at the rate of 2 gal per minute while the solution flows out at the same rate. The brine solution entering the tank has a salt concentration of 4 lb per gal. (a) Find a function that represents the amount of salt in the tank at any time. (b) As time passes, what happens to the salt concentration?
Show all work
The fox population in a certain region has an annual growth rate of 6 percent per year. It is estimated that the population in the year 2000 was 24400. (a) Find a function that models the population t years after 2000 (t = 0 for 2000). Your answer is P(t) = (b) Use the function from part (a) to estimate the fox population in the year 2008. Your answer is (the answer should be an integer)
A quantity starts with a size of 300 and grows at a continuous rate of 50% per year.Construct a function A(t) that models the growth of the quantity:A(t)= Write an expression for the size of the quantity after 505 years.The size will be .
2. Lijah opened an account at Advantis Credit Union. The balance of her account after x years is represented by the function b(x) = 500(1.05)*. What annual interest rate is Lijah earning? а. b. After how many years did it take for Lijah's balance to double? Show all of your work.
In a certain culture, an initial population of 6000 bacteria grows to 9000 bacteria after 20 minutes. (a) Determine the function n(t)=n0ert that models the number of bacteria after t minutes. (b) How many bacteria are present after 2 hours?
A population numbers 17,000 organisms initially and grows by 5.3% each year. Suppose P represents population and t represents the number of years of growth. An exponential model for the population can be written in the form P = abt, where P =

Recommended textbooks for you

Advanced Engineering Mathematics

Advanced Math

ISBN:

9780470458365

Author:

Erwin Kreyszig

Publisher:

Wiley, John & Sons, Incorporated

Numerical Methods for Engineers

Advanced Math

ISBN:

9780073397924

Author:

Steven C. Chapra Dr., Raymond P. Canale

Publisher:

McGraw-Hill Education

Introductory Mathematics for Engineering Applicat…

Advanced Math

ISBN:

9781118141809

Author:

Nathan Klingbeil

Publisher:

WILEY

Advanced Engineering Mathematics

Advanced Math

ISBN:

9780470458365

Author:

Erwin Kreyszig

Publisher:

Wiley, John & Sons, Incorporated

Numerical Methods for Engineers

Advanced Math

ISBN:

9780073397924

Author:

Steven C. Chapra Dr., Raymond P. Canale

Publisher:

McGraw-Hill Education

Introductory Mathematics for Engineering Applicat…

Advanced Math

ISBN:

9781118141809

Author:

Nathan Klingbeil

Publisher:

WILEY

Mathematics For Machine Technology

Advanced Math

ISBN:

9781337798310

Author:

Peterson, John.

Publisher:

Cengage Learning,

Basic Technical Mathematics

Advanced Math

ISBN:

9780134437705

Author:

Washington

Publisher:

PEARSON

Topology

Advanced Math

ISBN:

9780134689517

Author:

Munkres, James R.

Publisher:

Pearson,

SEE MORE TEXTBOOKS