Regard x and y as continuous variables. If x grows at 3% rate and y grows at 2% rate, what is the growth rate of z = x²y/2? 1/2, а. 0.5% b. 1.5% c. 2.5% d. None of above.
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- QUESTION 2 If Z = (XY)2, and we know that the annual growth rate of Z is 3%, and the annual growth rate of X is 2%, the annual growth rate of Y is а. - 1% b. - 0.5% C. 0.5% d. 1.0%If 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:.12. The rule of 72 says that if something is growing by X% per period then it will double approximately every 72/X periods. The periods could be days, months, years, etc. In late February 2020 about 7,000 people outside of China had been infected with the COVID-19 virus and the number was increasing by 9% per day. If the growth rate stayed the same then how many times would be the number of infections double in the next 64 days? a. 8 times so about 56,000 people would be infected b. 1.125 times so about 15,000 people would be infected c. 1.125 times so about 8,000 people would be infected d. 8 times so about 1.8 million people would be infected
- Consider the average annual growth rate 5.93% of 2000-2005, and forecast the population in Abu Dhabi in 2011. Use the continuous compounding equation of growth. Year Abu Dhabi Nationals Non-nationals Total 1980 90,792 361,056 1985 135,982 430,054 1990 173,992 556,389 1995 222,627 719,836 2000 248690 846,267 2005 348048 1,049,207 UAE 451,848 1,016,789 566,036 1,350,433 730,381 1,811,457 942,463 2,350,192 3,050,127 4,481,976 6At 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. ASUSOver the last 5 years, the population level of a certain area has gone from 200,000 to 250,000, and seems to follow a double exponential pattern. The physical characteristics of the area limit the total population it can accommodate to 400,000. Given this situation, if the same pattern of growth continues, what will be the population level in 5 years?
- 1. Consider the variables x. V. and z. Assume that the growth rates of these variables aire given by g(x) = 0.04, g(y) = 0.12 and g(z) = 0.008. Then the growth rate of the variable w = %3D (yx)3/4(z)1/4 is approximately equal to a. 16% b. -10% с. 12% d. 12.5%What is meant by economies of scale and what is the importance of this concept toeconomic growth?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
- Suppose that real GDP per capita in the United States is $49,000. If the long-term growth rate of real GDP per.capita is 1.6% per year, how many years will it take for real GDP per capita to reach $98,000? Instructions: Enter your answer as a whole number. years ( Prev 5 of 5 NextAn increase in research productivity: Suppose the economy is on a balanced growth path in the Romer model, and then, in the year 2030, research pro-ductivity z rises immediately and permanently to the new level z r. (a) Solve for the new growth rate of knowledge and yt.(b) Make a graph of yt over time using a ratio scale.Question One. Answer the following pertaining to the growth theories. a) Derive the elasticity of the balanced-growth-path level of output with respect to savings rate. b) The Romer growth model assumed that growth rates if capital and knowledge are endogenously determined. Derive the growth rates of capital and knowledge. I want a answer in 15 min