Question: A population, currently 200, is growing at 5% per year. (a) Write a formula for the population, P, as a function of time, t, years

A population, currently 200, is growing at 5% per year. 

(a) Write a formula for the population, P, as a function of time, t, years in the future. 

(b) Graph P against t. 

(c) Estimate the population 10 years from now.

(d) Use the graph to estimate the doubling time of the population.

Step by Step Solution

★★★★★

3.45 Rating (181 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

a Since Pt is an exponential function it will be of the form Pt P 0 a t where ... View full answer

blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Applied Calculus Questions!

Q:

KYC's stock price can go up by 15 percent every year, or down by 10 percent. Both outcomes are equally likely. The risk free rate is 5 percent, and the current stock price of KYC is 100. (a) Price a...

Q:

Managing Scope Changes Case Study Scope changes on a project can occur regardless of how well the project is planned or executed. Scope changes can be the result of something that was omitted during...

Q:

The figure is a typical graph of worker productivity per hour P as a function of time t on the job. (a) What is the horizontal asymptote? (b) What is Limx P (t)? (c) What is the horizontal asymptote...

Q:

a population, currently 2 0 0 , is growing at 5 % per year. a ) write a formula for the population, P , as a function of time, t , years in the future. b )

Q:

Resources:Virtual Organizations Click the Virtual Organization link to access the Virtual Organizations. Selec t one of the Virtual Organizations as the basis for this assignment. Obtainfaculty...

Q:

Resources:Virtual Organizations Click the Virtual Organization link to access the Virtual Organizations. Selec t one of the Virtual Organizations as the basis for this assignment. Obtainfaculty...

Q:

Use logo; 2 = . 5,1o34 3 w \".7925, and 094 5 w 1.1611]I to approximate the value of each expression. 1. log, 26 2. 11134 9 3. 0ng 8 4. The magnitude of an earthquake is measured on the Richter scale...

Q:

Help me get tye correct answe5.... EXERCISE Question 1 (Three-period Model - Appendix to Ch. 4) A consumer lives three periods - the learning period, the working period, and the retirement period....

Q:

1. Let F = 12 In(x). Then f'(x) is and f' (3) is f"'() is and f"(3) isDifferentiate f(w) = 3 7w+4 f' (w) =\fIf f( w) = 6 In w - 36 find f'(w). Use exact values. f' (w) =Let x] = 31? + 13 156:. Then...

Q:

Content / MATH 132-CO3 Busin x 4 WeBWork : Math-132-Elashvili-f x + C webwork.bridgew.edu/webwork2/Math-132-Elashvili-f23/quiz_mode/Exam_1/?effectiveUser=m5nunes O Remaining time: 01:27:02 Problem...

Q:

Bugs consumes carrots and lettuce, both of which are normal goods. Suppose the price of carrots rises. a. Illustrate the substitution and income effects. b. Does the substitution effect lead to an...

Q:

A 5L diving tank is filled to a pressure of 45 atm with He, and then is topped off with O 2 to a total pressure of 50 atm. What is the mole fraction of oxygen in the tank?

Q:

Question 1 The Jones Company has decided to undertake a large project. Consequently, there is a need for additional funds. The financial manager plans to issue preferred stock with a perpetual annual...

Q:

Are indigenous personalities really indigenous? For example, the Japanese culture includes the concept of amae described above. Do you think that amae also exists in other cultures, at least in terms...

Q:

The function f (x, y) = 2x + 3y + 9 - x 2 - xy - y 2 has a maximum at some point (x, y). Find the values of x and y where this maximum occurs.

Q:

In Exercises, find all points (x, y) where f (x, y) has a possible relative maximum or minimum. f (x, y) = -x 2 + 2y 2 + 6x - 8y + 5

Q:

Draw the level curve of the function f (x, y) = x - y containing the point (0, 0).

Q:

4.944 [4.167 4 3xa 4.944 [4.167 4 3xa

Q:

Economic value added is residual income with the cost of capital eqaul to the firms

Q:

Lock & Key Inc. began operations on January 1 , 2 0 2 2 . Its post - closing trial balance at December 3 1 , 2 0 2 2 and 2 0 2 3 , is shown below along with some other information. Lock & Key Inc....