Suppose population growth is given by L, = La+F)', where Lo is the population today, L, is the population in periods, and l is the population constant growth rate. If we do not know what value n takes but do know the values of Lo. L, and t, we can calculate 7 by punching into our calculators. Select one: O añ = (L/Lo)" O b.n = [(L, - 1yLo]" O Ch=L-1 d. ñ = (LILOY - 1 e.n= (LILo)" -1 %3D
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- How can we measure growth over the very long run? Te poorest countries in the world have a per capita income of about $600 today. We can reason-ably assume that it is nearly impossible to live on an income below half this level (below $300). Per capita income in the United States in 2015 was about$51,000. With this information in mind, consider the following questions.(a) For how long is it possible that per capita income in the United Stateshas been growing at an average annual rate of 2% per year?(b) Some economists have argued that growth rates are mismeasured. Forexample, it may be difcult to compare per capita income today with percapita income a century ago when so many of the goods we can buy todaywere not available at any price then. Suppose the true growth rate in thepast century was 3% per year rather than 2%. What would the level of percapita income in 1800 have been in this case? Is this answer plausible?8) Suppose that z; = (1.01)'zo and x = (1.05)'xo. Let y be given by y = (z/x). Assume that the growth rates of z and x are constant. Approximately how many years will it take for the level of y to double? Α. 17.5 В. 280 С. 35. D. It will never double Answer:rowth: Homework Saved years Help Save & Ex Suppose that real GDP per capita in the United States is $53,500. If the long-term growth rate of real GDP per capita is 4.5% per year, how many years will it take for real GDP per capita to reach $107,000? Instructions: Enter your answer as a whole number. Chac
- Solve the problem. 260 The logistic growth model P(t) - represents the population of a species 1+ 64e-0.15 introduced into a new territory after t years. When will the population be 70? O 7.34 years O 20 years O 18.02 years O 5.36 yearsIf X grows at a rate of 9% a year, and Y grows at a rate of 14 percent per year, what is the growth rate of X/Y? a. 23% b. -5% c. 5% d. (9/14) % A nation’s population is growing 5% per year, and its total GDP is growing 1% per year. What is the annual rate of growth of GDP per capita? Feel free to round to the nearest percentage point:.Say that the average worker in Argentina has productivity of $10 per hour while the average worker in Brazil has productivity of $12 per hour (both measured in U.S. dollars). If worker productivity, over the next 8 years, grows 1.5% per year in Brazil and 5% in Argentina. At the end of the 8 years, how much more productive are argentinian workers relative to brazillian, in percentage terms. (Do not include the % sign, round your answer to include 2 decimal places).
- Suppose, a country X has a GDP level of 4, 50,000 and a growth rate of 10% in 2007(calculated at the end of the fiscal year 2007). The experts predict that the growth ofthe economy of Country X will gradually slowdown in the coming years. Moreprecisely, they foresee the following growth rates for the future:2007 – 2010 = 10%2010 – 2013 = 9%2013 – 2016 = 7.5%2016 – 2019 = 5%2019 – on = 1% Hint: The list above should be read as saying that, for instance, the growth rate fromthe end of the fiscal year 2007 until the end of 2010 will be 10 %, then from the end of2010 until the end of 2013 it will be 9% and so on. Assuming that the predictions of the experts listed above are accurate, when in thefuture will Country X’s GDP double compared to the GDP level of 2007? Consider now the more optimistic scenario in which the economy does not slow downand the current growth rate of 10% remains constant in the coming years. How longwill it take for the GDP level to double in this scenario? Express…Assume real per capita GDP in West Swimsuit is $8,000 while in South Darlinia it is $2,000. The annual growth rate in West Swimsuit is 2.33%, while in South Darlinia it is 7%. How many years will it take for South Darlinia to catch up to the real per capita GDP of West Swimsuit? What will the income of the two countries be when it is equal? type answer only. Do it correctly. Multiple votes will given accordingly.Based on World Bank data, Philippines real per capita GDP in 2019 was US$3,850. It needs to increasethis to at least US$15,000 to attain a high income country status. By how much should real per capitagrown annually if it want to achieve this status in year a) 2028; b) 2037; c) 2055?
- Based on the notations used in class, suppose you are given the following information for the Solow growth model (with population growth and depreciation but without technological progress): y = k0.5, 8 = 0.04, n = 0.01, and s= 0.25. What is the steady-state level of k? O a. 36 O b. 15 O c. 25 O d. 5According to Solow growth model, which are the main factors leading to expect convergence across regions. In addition, discuss which factors, if any, may lead to expect no convergence. b) In 2010, GDP per capita of the region of Brussels (Belgium) was €55000, while that of Severozapaden (Bulgaria) was €6.500. Assume that, from 2010 onwards Brussels maintains a constant anual growth of 2% during 50 years. • Obtain the (constant) annual growth rate at which the region of Severozapaden should grow in order to attain the same GDP per capita of Brussels after this period (50 years). Hint: use instantaneous annual growth rates. c) Discuss the implications of your answers in sections a) and b) for EU's regional policy.At an annual growth rate of 3.5% it will take approximately years for a country's GDP to double. Over the next 60 years, how many times will GDP double, assuming the growth rate does not change? If GDP starts at a value of $10 million, then in 60 years the value of GDP will be $ million. In 60 years the value of GDP will be times larger than it is today. ASUS