In 2013, countries U and O have a population of about 20.5 million. However, it was recently established that the relative growth of rate forcountry U is 1.6% per year, while that of country O is 0.5% greater than country U. What is the projection of the population growth of eachcountry in 20187Hide answer choicesCountry U-24.1 million Country o- 25.3 millionCountry U.241 million; Country O-25.3 millionC Country U- 24.03 million; Country O- 25.54 millionCountry U-26.03 million: Country O-27.54 million

Given that in 2013, countries U and O have a population of about P0=20.5 million.

Answered: in 2013, countries U and O have a…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

See similar textbooks

Similar questions

We want to understand the relationship between sales growth rates (s) and project FCF growth rates (g). This is useful to think about, because in our spreadsheet models we often need an estimate of g but when we look for analyst forecasts, they often just apply to s. We consider a hypothetical firm in which there are Sales, COGS, Depreciation, Taxes, ONWC, and CAPEX occurring each year. You know that sales growth is constant and equals s. You further know that in any given year, COGS/Sales-c, the tax rate is p, the ratio of ONWC to Sales is n, and CAPEX-Depreciation, and Depreciation/Sales-d. s, c, p, n, and d are constants (i.e., fixed parameters that don't change over time). Perform an algebraic series of calculations. Start with FCF = (Sales - COGS - DA - Taxes - etc). Simplify the expression until it is in the form Sales. *((1-c-d)(1-p)-s/(1+s)*n).
Consider a setting where subjects have a list of M words to memorize. We wish to mathematically model the memory retention of these words. One simple theory is that the rate of change of the number of words memorized is proportional to how many words there are left to be memorized. To account for the possibility of forgetting words, the theory also suggests that words are forgotten at a rate proportional to the amount of words already memorized. In general, the constants of proportionality are different for memorizing and forgetting. (a) Define the variables and parameters involved and represent each with a letter to be used in the model. (b) Write a differential equation model based on this description and your choices in part 1a. ( c) Find the equilibrium point(s) of the model you came up with in part 1b. (d) Determine the stability of each equilibrium point. (e) What do your results from part 1d tell you about how many words someone will retain in the long run according to this…
The Organization for Economic Cooperation and Development (OECD) consists of 20 industrialized countries. For these nations, the prediction equation relating y = child poverty rate (in percentage points) to x = social expenditure as a percentage of gross domestic product (GDP) is = 22-1.3x. In 2000, the actual child poverty rate ranged from 2.8% (in Finland) to 21.9% (in the U.S.). Social expenditure as a percentage of GDP ranged from 2% (in the United States) to 16% (in Denmark). What is the value of the slope (b) estimated in the linear prediction equation provided above (= 22-1.3x)? Also, interpret the slope. Estimated slope (b): Interpretation of slope:
The following table gives the millions of metric tons of carbon dioxide emissions in a certain country for selected years from 2010 and projected to 2032. 2012 2014 2016 2018 2020 CO2 Emissions 338.5 364.5 397.1 423.8 452.1 498.4 Year 2010 Year 2022 2024 2026 2028 2030 CO2 Emissions 557.2 592.9 628.7 662.1 707.1 (a) Create a linear function that models these data, with x as the number of years past 2010 and y as the millions of metric tons of carbon dioxide emissions. (Round all numerical values to two decimal places.) y(x) = 2032 741.7 (b) Find the model's estimate for the 2024 data point. (Round your answer to two decimal places.) million metric tons Interpret the slope of the linear model. For each year since ---Select--- (c) Find the slope of the linear model. (Round your answer to two decimal places.) , carbon dioxide emissions in the U.S. are expected to change by million metric tons.
According to Zipf's Law, the number of cities N with a population greater than S is inversely proportional to S. In 2008, there were 52 U.S. cities with a population greater than 350,000. Estimate (a) the number of U.S. oties with a population between 350,000 and 450,000; (b) between 300,000 and 600,000. a. According to Zipfs Law, the number of U.S. cities with a population between 350,000 and 450,000 is approximately (Round to the nearest whole number as needed.)
In a certain region, about 6% of a city's population moves to the surrounding suburbs each year, and about 2% of the suburban population moves into the city. In 2020, there were 9,750,000 residents in the city and 900,000 residents in the suburbs. Set up a difference equation that describes this situation, where x is the initial population in 2020. Then estimate the populations in the city and in the suburbs two years later, in 2022. (Ignore other factors that might influence the population sizes.) Set up a difference equation that describes this situation, where x is the initial population in 2020. x₁ = Mx0 = (Type an integer or decimal for each matrix element. Do not perform the calculation.)
Assuming equal effort (# of nets in the water has not changed and the fishing season dates have stayed the same) identify trends in the squid population you see in the data. Based on your textbook reading this week, speculate what processes or dynamics could produce the population trends seen in your data.
If the arrival and departure rates in an M/M/1 queue are 1/2 per minute and 2/3 per minute respectively, find the average waiting time of a customer in the queue.
The rate of increase of COVID-19 infection is directly proportional to the number of people infected and to the number people not yet infected. An isolated remote barangay of population 10,000 records its first case on June 15, 2020. After two days, 100 people are infected. Develop a model that predicts the number of COVID-19 cases in the barangay. How long will it take for 90% of the population to be infected? Assume that the virus persists in the person infected.
The Organization for Economic Cooperation and Development (OECD) consists of 20 industrialized countries. For these nations, the prediction equation relating y = child poverty rate (in percentage points) to x = social expenditure as a percentage of gross domestic product (GDP) is = 22-1.3x. In 2000, the actual child poverty rate ranged from 2.8% (in Finland) to 21.9% (in the U.S.). Social expenditure as a percentage of GDP ranged from 2% (in the United States) to 16% (in Denmark). What is the value of the y-intercept (a) estimated in the linear prediction equation provided above (= 22-1.3x)? Also, interpret the y-intercept. y-intercept: Interpretation of y-intercept:
A popular social media platform has begun offering stock shares to the public. In the past 2 years, the price of the stock has generally increased. An investment specialist gathers data on the stock price over the past 2 years and proposes two models for estimating the growth of the stock, as shown in the scatterplots. Based on the scatterplots, which type of model is most suitable for estimating the stock price? O A power model is suitable because the scatterplot of log(weeks) against log(stock price) shows a curved relationship. O A linear model is suitable because the scatterplot of weeks against log(stock price) shows a strong linear relationship. log(Stock Price) vs. Weeks 2.28 O An exponential model is suitable because the scatterplot of log(weeks) against log(stock price) shows a curved relationship. 2.26 2.24 2.22 22 P2.18 2 16 * 214 212 21 2.08 O An exponential model is suitable because the scatterplot of weeks against log(stock price) shows a strong linear relationship. Mark…

Recommended textbooks for you

Advanced Engineering Mathematics

Advanced Math

ISBN:

9780470458365

Author:

Erwin Kreyszig

Publisher:

Wiley, John & Sons, Incorporated

Numerical Methods for Engineers

Advanced Math

ISBN:

9780073397924

Author:

Steven C. Chapra Dr., Raymond P. Canale

Publisher:

McGraw-Hill Education

Introductory Mathematics for Engineering Applicat…

Advanced Math

ISBN:

9781118141809

Author:

Nathan Klingbeil

Publisher:

WILEY

Advanced Engineering Mathematics

Advanced Math

ISBN:

9780470458365

Author:

Erwin Kreyszig

Publisher:

Wiley, John & Sons, Incorporated

Numerical Methods for Engineers

Advanced Math

ISBN:

9780073397924

Author:

Steven C. Chapra Dr., Raymond P. Canale

Publisher:

McGraw-Hill Education

Introductory Mathematics for Engineering Applicat…

Advanced Math

ISBN:

9781118141809

Author:

Nathan Klingbeil

Publisher:

WILEY

Mathematics For Machine Technology

Advanced Math

ISBN:

9781337798310

Author:

Peterson, John.

Publisher:

Cengage Learning,

Basic Technical Mathematics

Advanced Math

ISBN:

9780134437705

Author:

Washington

Publisher:

PEARSON

Topology

Advanced Math

ISBN:

9780134689517

Author:

Munkres, James R.

Publisher:

Pearson,

SEE MORE TEXTBOOKS

in 2013, countries U and O have a population of about 20.5 million. However, it was recently established that the relative growth of rate for country U is 1.6% per year, while that of country O is 0.5% greater than country U. What is the projection of the population growth of each country in 20187