The count in a bacteria culture was 400 after 15 minutes and 1400 after 35 minutes. Assuming the count grows exponentially, answer the following questions. What is the population after 90 minutes? When will the population reach 14000?

The count in a bacteria culture was 400 after 15 minutes and 1400 after 35 minutes. Assuming the count grows exponentially, answer the following questions. What is the population after 90 minutes? When will the population reach 14000?

Intermediate Algebra

19th Edition

ISBN:9780998625720

Author:Lynn Marecek

Publisher:Lynn Marecek

Chapter10: Exponential And Logarithmic Functions

Section10.5: Solve Exponential And Logarithmic Equations

Problem 355E: What is the difference between the equation for exponential growth versus the equation for...

See similar textbooks

Related questions

Q: 74 rabbits are released in an isolated area free of predators. After 2 years, it is estimated that…

A: Given, After 2 years, population of rabbit increased to 296 (74*4) , which is four times of initial…

Q: In 1980 1.862 million people lived in San Diego county. In 2010it had 3.103 million people. Assuming…

A: let exponential equation P=abt a is the population in 1980 i.e., 1.862 Million and b is growth…

Q: 2a) The population of a village was 40 at the beainning of 200. The doğ 2003.' AsSuming an)…

Q: A radioactive substance decays exponentially. A scientist begins with 130 milligrams of a…

Q: The amount of a certain antibiotic that remains in the bloodstream of a patient exhibits exponential…

A: From the given problem we get an equation is D= 400×e^(-0.02t)

Q: A few weeks into the deadly SARS epidemic in 2003, the number of cases was increasing by about 4%…

Q: The count in a bateria culture was 800 after 10 minutes and 1700 after 35 minutes. Assuming the…

Q: Use the exponential growth model, A = A0ekt, to solve, In 1980, the elderly U.S. population (65 and…

Q: A population grows exponentially at the rate of 1.85%. How long will it take the population to…

A: Population growth formula: P = (Po).er*t P = population after time t Po = starting population r =…

Q: The count in a bacteria culture was 200 after 20 minutes and 1200 after 30 minutes. Assuming the…

Q: The count in a bateria culture was 800 after 15 minutes and 2000 after 30 minutes. Assuming the…

A: Let I be the initial size of culture, the exponential growth formula is given by

Q: The count in a bacteria culture was 200 after 10 minutes and 1300 after 30 minutes. Assuming the…

A: According to company policy we are allowed to provide solution for only 3 sub parts of one question.…

Q: The count in a bacteria culture was 500 after 15 minutes and 1900 after 40 minutes. Assuming the…

Q: A radioactive substance decays exponentially. A scientist begins with 200 milligrams of a…

A: Formula: N(t)=N0exp-0.693tt1/2whereN0=initial amount of substancet1/2=half life of…

Q: The count in a bacteria culture was 100 after 15 minutes and 1400 after 35 minutes. Assuming the…

Q: a scienhst begins with 100 milligrams of a radioactive subtance that dicays exponentially. After 35…

A: Topic:- exponential decaying function

Q: The count in a bacteria culture was 700 after 15 minutes and 1300 after 30 minutes. Assuming the…

Q: What is the domain of this exponential function?

A: Domain of an exponential function is all real number

Q: The count in a bacteria culture was 200 after 15 minutes and 1600 after 30 minutes. Assuming the…

Q: The count in a bacteria culture was 500 after 20 minutes and 1200 after 40 minutes. Assuming the…

Q: The population in a small town in 2010 was 45,230 people and is growing exponentially at a rate of…

A: Given: The population of the town in 2010 was 45,230. rate of growth is 2%. An exponential growth…

Q: The count in bacteria culture was 400 after 10 minutes and 1700 after 35 minutes. Assuming the count…

A: Let growth takes exponentially by the below equation;- N=N0ekt N0=Initial Populationk=Growth rate…

Q: A car is purchased at $18,000. The car depreciates by 5% each year. Give the exponential model. How…

Q: The count in a bacteria culture was 100 after 10 minutes and 1900 after 35 minutes. Assuming the…

A: Given data is : The count in a bacteria culture was 100 after 10 minutes and 1900 after 35 minutes…

Q: The initial size of a bacteria culture that grows exponentially was 10,000. After 1 day, there are…

Q: In 2003, 182 deer were introduced into a wildlife refuge area from which the population had…

Q: The count in a bateria culture was 600 after 15 minutes and 1500 after 40 minutes. Assuming the…

Q: The count in a bacteria culture was 100 after 20 minutes and 1100 after 30 minutes. Assuming the…

Q: count in a bacteria culture was 700 after 15 minutes and 1000 after 35 minutes. Assuming the count…

A: We need the exponential growth formula : N(t) = N0 ekt ,…

Q: The count in a bacteria culture was 600 after 20 minutes and 2000 after 30 minutes. Assuming the…

Q: The half-life of a certain tranquilizer in the bloodstream is 45 hours. How long will it take for…

A: We have to find how long will it take for the drug to decay to 88% of the original dosage using…

Q: A doctor prescribes 125 milligrams of a therapeutic drug that decays by about 30% each hour. Using…

Q: The count in a bacteria culture was 400 after 20 minutes and 1500 after 30 minutes. Assuming the…

A: The solution is given as follows

Q: The city of Calgary has been tracking the number of hares in Nose Hill Park. In 2008, there were 483…

Q: an effort to control vegetation overgrowth, 65 rabbits are released in an isolated area free of…

A: Given : a =65 t = 2 Total = 585

Q: The value of a collectible toy is increasing exponentially. The

A: Given the collectible toy is increased exponentially. The two points on the graph show the toy's…

Q: The count in a bacteria culture was 300 after 15 minutes and 1500 after 30 minutes. Assuming the…

Q: The count in a bacteria culture was 200 after 10 minutes and 1700 after 30 minutes. Assuming the…

Q: The count in a bacteria cculture was 300 after 15 minutes and 1800 after 35 minutes. Assuming the…

Q: The count in a bacteria culture was 700 after 15 minutes and 1100 after 40 minutes. Assuming the…

Q: The count in a bateria culture was 600 after 15 minutes and 1000 after 35 minutes. Assuming the…

A: Count N(t) will be given as: N(t) = N0ert At t = 15; N = 600 At t = 35; N = 1,000

Q: The count in a bacteria culture was 900 after 10 minutes and 1500 after 30 minutes. Assuming the…

Q: Can you do this exponentially?

A: This question is related to exponential equations, We will solve it using given information.

Q: The count in a bacteria culture was 600 after 10 minutes and 1700 after 35 minutes. Assuming the…

Q: Find the equation of the following exponential function.

Q: If the population of a certain county was 100,000 in 1998 and 110,625 in 2008, and if the population…

Q: The count in a bacteria culture was 200 after 20 minutes and 1700 after 35 minutes. Assuming the…

Q: The count in a bacteria culture was 100 after 20 minutes and 1100 after 40 minutes. Assuming the…

Q: A population of bacteria grows exponentially and their population doubles If the initial observation…

A: NOTE: Refresh your page if you can't see any equations. . here we have the initial population is…

Question

The count in a bacteria culture was 400 after 15 minutes and 1400 after 35 minutes.

Assuming the count grows exponentially, answer the following questions.

What is the population after 90 minutes?

When will the population reach 14000?

Expert Solution

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!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

A scientist begins with 100 milligrams of aradioactive substance that decays exponentially. After 35 hours, 50 mg of the substance remains. How manymilligrams will remain after 54 hours?
An investment account was opened with aninitial deposit of 9,600 and earns 7.4 interest,compounded continuously. How much will theaccount be worth after 15 years?
Given a formula for an exponential function, is itpossible to determine whether the function grows ordecays exponentiallyjust by looking at the formula?Explain.
What is the difference between the equation for exponential growth versus the equation for exponential decay?
Researchers recorded that a certain bacteria population declined from 700,000 to 400,000 in 5 hours after the administration of medication. At this rate of decay, how many bacteria will there be 24 hours from the start of the experiment?
With what kind of exponential model would doubling time be associated? What role does doubling time play in these models?
A radiation safety officer is working with 112 grams of a radioactive substance. After 17 days, thesample has decayed to 80 grams. Rounding to fivesignificant digits, write an exponential equationrepresenting this situation. To the nearest day, whatis the half-life of this substance?