Q24 A mathematical approximation called the Rule of 70 tells us that the number of years it will take something that is growing to double insize is approximately equal to the number 70 divided by its percentage rate of growth. For example, if Mexico's real GDP per person isgrowing at 7 percent per year, it will take about 10 years (= 70÷ 7) to double.24Apply the Rule of 70 to solve the following problem.If real GDP per person in Mexico was $12,000 in 2008, while it was $48,000 per person in Canada, and if real GDP per person inMexico grows at a rate of 5 percent per year, how long will it take Mexico's real GDP per person to reach the level that Canada was atin 2008? (Hint: How many times would Mexico's 2008 real GDP per person have to double in order to reach Canada's 2008 real GDPper person?)years

According to the rule 70, Number of years to double the Real GDP = 70/ Annual growth rate

Answered: A mathematical approximation called the…

ECON MICRO

5th Edition

ISBN:9781337000536

Author:William A. McEachern

Publisher:William A. McEachern

Chapter21: Economic Development

Section: Chapter Questions

Problem 1.1P

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A mathematical approximation called the rule of 70 tells us that the number of years that it will take something that is growing to double in size is approximately equal to the number 70 divided by its percentage rate of growth. Thus, if Mexico's real GDP per person is growing at 7 percent per year, it will take about 10 years ( =70/7) to double. Apply the rule of 70 to solve the following problem. Real GDP per person in Mexico in 2005 was about $ 11,000 per person, while it was about $ 44,000 per person in the United States. If real GDP per person in Mexico grows at the rate of 5 percent per year, about how long will it take Mexico's real GDP per person to reach the level that the United States was at in 2005? (Hint: How many times would Mexico's 2005 real GDP per person have to double to reach the United States' 2005 real GDP per person?)
A mathematical approximation called the rule of 70 tells us how long it will take for something to double in size if it grows at a constant rate. The doubling time is approximately equal to the number 70 divided by the percentage rate of growth. Thus, if Panama’s real GDP per person is growing at 7 percent per year, it will take about 10 years (= 70/7) to double. Apply the rule of 70 to solve the following problem: Suppose that real GDP per person in Panama in 2017 was about $12,000 per person, while it was about $48,000 per person in the United States. If real GDP per person in Panama grows at the rate of 5 percent per year, about how long will it take Panama’s real GDP per person to reach the level that the United States was at in 2017? (Hint: How many times would Panama’s 2017 real GDP per person have to double to reach the United States’ 2017 real GDP per person?) __________ years
16)A mathematical approximation called the rule of 70 tells us that the number of years that it will take something that is growing to double in size is approximately equal to the number 70 divided by its percentage rate of growth. Thus, if Mexico’s real GDP per person is growing at 7 percent per year, it will take about 10 years (= 70/7) to double. Apply the rule of 70 to solve the following problem. Real GDP per person in Mexico in 2005 was about $11,000 per person, while it was about $44,000 per person in the United States. If real GDP per person in Mexico grows at the rate of 4 percent per year, about how long will it take Mexico’s real GDP per person to reach the level that the United States was at in 2005? (Hint: How many times would Mexico’s 2005 real GDP per person have to double to reach the United States’ 2005 real GDP per person?) Instructions: Enter your answer as a whole number.
Suppose that 10 workers were required in 2010 to produce 40,000 bushels of wheat on a 1,000-acre farm. a. What is the average output per acre? Per worker? b. If in 2020 only 8 workers produce 44,000 bushels of wheat on that same 1,000-acre farm, what will be the average output per acre? Per worker? c. By what percentage does productivity (output per worker) increase over those 10 years? Over those 10 years, what is the average annual percentage increase in productivity?
If in 2008 China’s real GDP is growing at 9 percent a year, its population is growing at 1 percent a year, and these growth rates continue, in what year will China’s real GDP per person be twice what it is in 2008 Please use the other formula to solve this proble not the rule of 70, because i have the solution using rule 70!
Suppose that the annual rates of growth of real GDP of Econoland over a five-year period were sequentially as follows: 3 percent, 1 percent, −2 percent, 4 percent, and 5 percent. What was the average of these growth rates in Econoland over these five years? What term would economists use to describe what happened in year 3? If the growth rate in year 3 had been a positive 2 percent rather than a negative 2 percent, what would have been the average growth rate?
Question Approximately how long will it take Ethiopia to double its real GDF per person of S100 if its growth rate of real GDP per person is 0.9 63 years 77.7 years 70 years 109 years 100 years If Country A's real GDP grows at a rate of 14 percent per year, how many years will it take for Country A's real GDP to double? 10 7 5 30 14 Labor productivity is defined as total real GDP. real GDP per person. total output multiplied by total hours of labor. real GDP per hour of labor. hours of work per person. An increase in labor productivity increases the standard of living. decreases the standard of living. might be the result of an increase in the quantity of labor. generally occurs when physical capital decreases because firms must then hire more workers. cannot occur without a corresponding increase in employment. Last year, in a nation far to the South, real GDP was $90 million 900.000 workers were employed. This year real GDP is $100 million. 950.000 workers are…
Consider a nation in which the volume of goods and services is growing by 5 percent per year. What is the likely impact of this high rate of growth on the power and influence of its government relative to other countries experiencing slower rates of growth? What about the effect of this 5 percent growth on the nation’s living standards? Will these also necessarily grow by 5 percent per year, given population growth? Why or why not?
Let’s figure out how long it will take for the average Indian in India to be as wealthy as the average Western European is today. Note that all numbers are adjusted for inflation, so the numbers are comparable. India’s current GDP per capita is $3,000, let’s say that real output per person there grows at 5% per year. Using the rule of 70, how many years will it take for India to reach Italy’s current level of GDP per capita, about $24,000 per year?
In 1998, Brazil had a per capita GDP of about $4,500, compared to per capita GDP of about $28,000 in the US. (A) If per capita growth were to average 2% per year indefinitely in the US and 5% per year in Brazil, how many years would it take Brazil to catch up with the US? (B) Using the assumptions of the Cobb-Douglas production function, how fast would capital stock have to grow for per capita GDP to rise 5% per year? How does that compare with capital stock growth of 3% per year in the US (assume technology advances 1% per year in both countries)? (C) In mature industrialized societies, the capital/output ratio is approximately 3.0. If the average depreciation rate is 0.04, what would be the current saving and investment ratio in the US? What would it be in Brazil if per capita GDP rose 5% per year?
Suppose that the annual rates of growth of real GDP in Econoland over a five-year period were as follows: Year Growth Rate (%) 1 4 2 2 3 -1 4 4 5 6 a. What was the average of these growth rates in Econoland over these five years? ________ percent b. What term would economists use to describe what happened in year 3? c. If the growth rate in year 3 had been a positive 4 percent rather than a negative 1 percent, what would have been Econoland's average growth rate over the five years? __________ percent
(Words apart) Per capita income most recently was about 160 times greater in the US that in Democratic Republic of the Congo. Suppose per capita income grows an average of 3 percent per year in the richer country and 6 percent per year in the poorer country. Assuming such growth rates continue indefinitely into the future, how many years would it take before per capita income in the Congo exceeds that of the US? (to simplify the math, suppose at the outset per capita income is $160000 in the richer country and $1000 in the poorer country.)

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