Question: The birth rate in a certain city is 3.5% per year, and the death rate is 2% per year. Also, there is a net movement

The birth rate in a certain city is 3.5% per year, and the death rate is 2% per year. Also, there is a net movement of population out of the city at a steady rate of 300 people per year. The population in 2016 was 5 million.
(a) Give the difference equation for yn, the population after n years.
(b) Estimate the 2021 population.
(c) When will the population exceed 6 million?
(d) When will the population have doubled to 10 million?

Step by Step Solution

★★★★★

3.42 Rating (165 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

a Based on the information given the difference equ... View full answer

Question Has Been Solved by an Expert!

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

Step: 2 Unlock

Step: 3 Unlock

Document Format (1 attachment)

1385-M-S-L-P(3173).docx

120 KBs Word File

Students Have Also Explored These Related Statistics Questions!

In a certain city, incompatibility is given as the legal reason in 70 percent of all divorce cases. Find the probability that five of the next six divorce cases filed in this city will claim...

In a certain city the temperature (in F) hours after 9 A.M. was modeled by the function Find the average temperature during the period from 9 A.M. to 9 P.M. T() - 50 + 14 sin 12

In a certain city, 30% of the families have a MasterCard, 20% have an American Express card, and 25% have a Visa card. Eight percent of the families have both a MasterCard and an American Express...

The birth rate in a certain city is 3.5% per year, and the death rate is 2% per year. Also, there is a net movement of population out of the city at a steady rate of 3000 people per year. Let N = f...

Sketch the region enclosed by the given curves. Decide whether to integrate with respect to X or y. Draw a typical approximating rectangle and label its height and width. (Do this on paper. Your...

The birth rate of a population is b ( t ) = 2 2 0 0 e 0 . 0 2 1 t people per year and the death rate is d ( t ) = 1 4 9 0 e 0 . 0 1 5 t people per year, find the area between these ct nearest...

If the birth rate of a population is b ( t ) = 2 4 0 0 e 0 . 0 2 2 t people per year and the death rate is d ( t ) = 1 4 3 0 e 0 . 0 1 7 t people per year, find the area between these curves for 0 t...

If the birth rate of a population is b ( t ) = 2 2 0 0 e 0 . 0 2 1 t people per year and the death rate is d ( t ) = 1 4 2 0 e 0 . 0 1 8 t people per year, find the area between these curves for 0 t...

The population of a town is growing according to the differential equation y = ky dt The growth constant, k, is equal to 0.13 year -1. The size of the population at the start of the year 2000 was 5...

In this question, you will estimate the value of the integral re & dx 3. [8/11 Points] DETAILS PREVIOUS ANSWERS For each of the following, enter your answers correct to two decimal places. using...

Answer the following questions regarding this case: Barclays Bank Plc v Various Claimants Court of Appeal (Civil Division) 17 July 2018 [2018] What is at issue in this case? What was the basis of the...

Labrum & Doak, LLP, was a law partnership that began in 1904 in Pennsylvania. John Seehousen, Jonathan Herbst, and James Hilly were partners of Labrum & Doak. They withdrew from the partnership in...

Solve the equation. t - 1 . 5 = 7 . 9 Enter the correct ansu: the box. t

Econometrics a. links positive to normative economics. b. applies modern statistical methods to test models. c. is an appropriate use of economic models. d. is real-world economics as distinguished...

A boat is pulled into a dock by a rope attached to the bow of the boat and passing through a pulley on the dock that is 1 m higher than the bow of the boat. If the rope is pulled in at a rate of 1...

At noon, ship A is 100 km west of ship B. Ship A is sailing south at 35 km/h and ship B is sailing north at 25 km/h. How fast is the distance between the ships changing at 4:00 P.M.?

A particle is moving along the curve y = x. As the particle passes through the point (4, 2), its -coordinate increases at a rate of 3 cm/s. How fast is the distance from the particle to the origin...

Income statement Net sales $1,800,000 $1,800,000 Cost of Goods Sold 900,000 1,260,000 Gross Profit 600,000 540,000 Marketing 150,000 200,000 General & Administrative 150,000 200,000 Depreciation...

Please answer in your own words 1.On the face of it, replacing paper-based transactions with electronic transactions should provide environmental benefits. In terms of business processes, what needs...

Score: 9/23 5/11 answered Question 6 0/4 pts The amounts of nicotine in a certain brand of cigarette are normally distributed with a mean of 0.954 g and a standard deviation of 0.295 g. The company...