The population of a town is growing exponentially and can be modeled by the equation f (t) = 42 · e0.015€). The population is measured in thousands, and time is measured in years since 1950. 1. What was the population of the town in 1950? 2. What is the approximate percent increase in the population each year? 3. According to this model, approximately what was the population in 1960?

The population of a town is growing exponentially and can be modeled by the equation f (t) = 42 · e0.015€). The population is measured in thousands, and time is measured in years since 1950. 1. What was the population of the town in 1950? 2. What is the approximate percent increase in the population each year? 3. According to this model, approximately what was the population in 1960?

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,...

See similar textbooks

Related questions

Q: In 2001 there were 280 cellphone increase 66% per year after 2001 A. What is this a linear or…

A: Number od cellphones given and rate of increment is given.. So we can find the relation between…

Q: Solve and show work. 2) The amount of hairs on Mr. Mahers head has been decreasing exponentially at…

A: Rate of decrement= 5.5% Initial number of hair = 110000 Let t being the number of years.

Q: 9. A culture grows continuously at a rate of 6% per day. If there were 500 organisms initially,…

Q: A home is valued at $236,500 in 2012. In 2017, the home is worth $305,700. Assume the home's value…

A: Consider the following exponential function of value of the home: Vt=abt Where, Vt=Value of home…

Q: The population of the world in 1987 was 5 billion and the continuous growth rate was estimated at…

Q: 26. In 1988, a population of wolves numbered 13. They were introduced into a new habitat and by the…

A: Given formula is:P(t)=P0ektWhere,P(t) : Population after time tP0 : Initial population k : Growth…

Q: 12. A laptop computer was purchased for $2500. After 2 years, the value of the laptop is expected to…

Q: A bacteria culture is started with 250 bacteria. After 4 hours, the population has grown to 764…

Q: Which of the following exponential functions represent growth and which represent decay? a.…

A: The exponential function f(x)=a(b)^x representsa) growth if a>0 and b>1b) decay if a>0 and…

Q: A bacteria culture is started with 450 bacteria. After 4 hours, the population has grown to 631…

A: Given that: P0=450 After t=4 hours, the bacteria population grows, Pt=631

Q: 6. The number of motor vehicles in the world is N, in millions, can be modeled by the equationN =…

Q: Consider the following situation: enrollment at a school is initially 322 students and grows by 4%…

A: Given: Enrollment at a school is initially 322 students and grows by 4% per year. To find: An…

Q: 12. The population of a city is growing exponentially and can be modeled by the equation…

Q: Please consider the questions below and use the tools you acquired in this course to answer them.…

A: Given information: The equation of CEOs salary in terms of sales, roe, and ros is given.

Q: 22. Per capita income. In 2009, U.S. per capita personal income I was $48,040. In 2012, it was…

A: It is given that the growth of US per capita income follows an exponential model. An exponential…

Q: The median house price in the Pickering Region increased by 5.8% from January 1, 2019 to January 1,…

Q: Suppose $1500 is initially invested in an account and the value of the account grows exponentially.…

Q: solve the problem The plot best represents which type of growth?

Q: In 2013, the moose population in a park was measured to be 5,600. By 2017, the population was…

Q: A native wolf species has been reintroduced into a national forest. Originally 200 wolves were…

Q: If the population of a Nigeria doubles in 9 years, ﬁnd the growth rate k. Assume that the population…

A: So the equation for the exponential population with growth rate k is given by: Where, A= initial…

Q: 2. An antique computer valued at $6500 depreciates at the rate of 14% per year (b 0.86). Circle one:…

Q: The number of computers infected by a virus t days after it first appears usually increases…

Question

100%

The population of a town is growing exponentially and can be modeled by the equation $ f(t) = 42 \cdot e^{(0.015t)} $. The population is measured in thousands, and time is measured in years since 1950.

1. What was the population of the town in 1950?
2. What is the approximate percent increase in the population each year?
3. According to this model, approximately what was the population in 1960?

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

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

In 2019, the US population was 328.2 million. In 2000, the US population was 282.2 million. Find the exponential function that gives the population of the US in millions as a function of years since 2000. Using the exponential function found above, what was the average growth rate over the last 19 years (remember that b=1+r). You should round b to 6 decimal places. r should be written as a percent with three decimal places. For the equation P= abt a= b= r= (average growth rate)
3. You have the information that the number of cases of influenza on Dec 31 (day 0) was 29 and on day 5 there were 32 cases. Define variables: t = time in days since Dec 31C = number of cases a. Assume this situation is linear. Write a formula for this situation. C=·t+29 c. Assume this situation is exponential. Write a formula for this situation. d. Use your exponential formula to determine when the number of cases will hit 128
The answer I was given previously is not right, please help! There is a well-studied panda population in Wuyipeng. In 1989 there were 35 pandas and the researchers determined that they had an annual population growth of 1.078. (i) Which exponential model represents this population?A. (35)1.078x(35)1.078xB. 35(1.078)x35(1.078)xC. (1.078)35x(1.078)35xD. (1.078)x(1.078)x (ii) Use your model to predict how many pandas there will be in 2000.(Express your answer rounded up to the nearest panda.)Answer =
Please, provide all the steps.
The population of an endangered species decreases at a rate of 7% per year. Approximately how long will it take the population to decrease to half of its current size?
22. The population of a rural community was 3050 in 2010 and the population had increased to 3500 in 2015. Assuming exponential growth find the following. a. The growth rate to 4 decimal places and as a percentage. b. Estimate the population in 2018 if the trend continues.