Biologists stocked a lake with 400 fish and estimated the carrying capacity (the maximal population for the fish of that species in that lake) to be 8000. The number of fish grew to 570 in the first year. a)Find an equation for the number of fish P(t) after t years P(t) = b) How long will it take for the population to increase to 4000 (half of the carrying capacity)? It will take years. You may enter the exact value or round to 2 decimal places.

Biologists stocked a lake with 400 fish and estimated the carrying capacity (the maximal population for the fish of that species in that lake) to be 8000. The number of fish grew to 570 in the first year. a)Find an equation for the number of fish P(t) after t years P(t) = b) How long will it take for the population to increase to 4000 (half of the carrying capacity)? It will take years. You may enter the exact value or round to 2 decimal places.

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 10.88TI: Researchers recorded that a certain bacteria population declined from 700,000 to 400,000 in 5 hours...

See similar textbooks

Related questions

Q: 19) Suppose you purchase a car and you are going to finance $16,000 for 36 months at an APR of 5.1%…

A: Given that, Suppose you purchase a car and you are going to finance $16,000 for 36 months at an APR…

Q: Put the following numbers in order from greatest to least. Color the largest one pink on Which…

A: Given questions

Q: The farmers' association of the Amatole region in the Eastern Cape wants to report on the average…

A: The milk production has a normal distribution with parameters μ (mean) and σ2 (variance). From the…

Q: 10. Consider the function f (x) = x³ + 6x2 -36x + 4. Then I. f decreases on (-6, 2) and increases on…

Q: find the devivetior. ア=3 derivativ

Q: Q5: William spent $384 to buy some T-shirts and shorts. The cost of a pair of shorts was $12 and a…

A: We have to find money spent by William on T-shirts.

Q: 4. Which of the following units is not used to measure volume? O m3 O cm³ O ft³ O in²

A: The definition of unit of volume is that it is a unit of measurement for measuring volume of an…

Q: 27. dy dt dy -y², y(0) = 1/2 28. =t²y³, y(0) = -1 dy dt dy

A: We have to solve given differential equations.

Q: What is the probability that Helen makes both free throws? (Round your answer to 3 decimal places as…

A: Due to given formula for conditional and joint probability, we know that P[C and D]= P[C]P[D|C]

Q: A popular news article currently has 35,100 page views, and that number is rising 27% every hour.…

Q: Here are summary statistics for randomly selected weights of newborn girls: n=36, x=3180.6 g,…

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Express the logarithm log (60) using the change of base formula in natural logarithms or common…

Q: Steve's salary was 20% less than Pat's salary. After Steve had a pa 10% and Pat had a pay cut of…

A: Let say Steve's Salary in the end was $x

Q: The normal curve: has only one peak, in the middle of the distribution. has multiple peaks in the…

A: The question is about normal distribution.Introduction :Normal distribution :1 ) It has two…

Q: Construct both 95% and 90% confidence interval for B, based on the information given BA= -8.4, SSE =…

A: We want to find the confidence interval

Q: Given: MP = NP and MN I OP Prove: AMOP ANOP M P

Q: Graph a line with a slope of-5 that contains the point (-3,-4). 7- 6- 5- 3+ 2+ 1+ -7 -6 -5 -4 -3 -2…

Q: In Problems 1-24, find the general solution of the given differ- ential equation. Give the largest…

Q: Question 13 く > Suppose are running a study/poll about the proportion of women over 40 who regularly…

A: Formula : Test statistic

Q: Given a normal distribution with u = 100 and o = 10, what is the probability that a. X> 75? b. X…

A: Note- Since you have posted a question with multiple sub-parts, we will solve the first three…

Q: lan, Jerry and Mark collected the same number of stamps. Mark gave of his stamps to Jerry. Then,…

A: Let Ian, Jerry, and Mark collect stamps = 3x Each one has = x stamp Mark gave 1/2 of his stamp to…

Q: Decide which of the following subsets of R are also subspaces of R. If a subset IS a subspace, show…

A: Use two step test of subspace to solve this problem.

Q: in 2020, the student body at a specific university in Cyprus consisted of 30% 1st year students, 25%…

A: The question is about categorical data analysis.Given :Total number of students ( n ) = 400

Q: With respect to a fixed origin O, the line k is given by the equation where u is a scalar parameter.…

A: The position vector of a point, which lies on a line can be obtained by using the parametric…

Question

100%

Hellppppp

Biologists stocked a lake with 400 fish and estimated the carrying capacity (the maximal population
for the fish of that species in that lake) to be 8000. The number of fish grew to 570 in the first year.
a)Find an equation for the number of fish P(t) after t years
P(t) =
b) How long will it take for the population to increase to 4000 (half of the carrying capacity)?
It will take
years.
You may enter the exact value or round to 2 decimal places.

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

The half-life of a radioactive material is about 34.2 years. How much of the material is left after 20 years?
The half-life of radioactive actinium ( 227AC ) is 21.77 years. What percent of a present amount of radioactive actinium will remain after 19 years?
Alyssa opened a retirement account with 7.25 APRin the year 2000. Her initial deposit was 13,500. How much will the account be worth in 2025 if interest compounds monthly? How much more wouldshe make if interest compounded continuously?
A car was valued at 38,000 in the year 2007. By 2013, the value had depreciated to 11,000 If the car’s valuecontinues to drop by the same percentage, what willit be worth by 2017 ?
Researchers recorded that a certain bacteria population grew from 100 to 300 in 8 hours. At this rate of growth, how many bacteria will there be in 24 hours?
Hector invests $10,000 at age 21. He hopes the investments will be worth when he turns 50. If the interest compounds continuously, approximately what rate of growth Will he need to achieve his goal?
The half-life of radioactive iodine is 60 days. How much of a 50 mg sample will be left in 40 days?
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?
What is the difference between the equation for exponential growth versus the equation for exponential decay?
How can an exponential equation be solved?