Suppose a country has a real GDP per capita of $69,000 and grows at a constant rate for the next 49 years. How much larger (in percentage terms) is this country if its growth rate is 4.13% instead of 3.05% after 49 years of growth? Answer this as a percentage and round your answer to two digits after the decimal without the percentage sign. ex. If you found the rate to be 5.125%, answer 5.13.
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- The GDP of South Africa in 1950 was 77,836.88 million dollars. In 2019 it was 748,861 million dollars. What has been the annualized growth rate of GDP for South Africa during the period 1950 to 2019? Use growth compounding to calculate the number and write the answer in percent terms with up to two decimals (e.g., 10.22 for 10.22%, or 2.33 for 2.33%).How large will Canada’s GDP be in 25 years? The answer depends on what the rate of growth in GDP will be over that 25-year period. A mathematical formula we can use for this calculation is the following: GDP2041 = GDP2016 (1 + g)25 where GDP2041 is the level of GDP in the year 2041, GDP2016 is the level of GDP in the year 2016, and g is the rate of growth in GDP. Assume that GDP in 2016 is $1000 million and assume that the value of g is 0.035 (3.5 percent per year). What will be the value of GDP in 2041? Now suppose that the value of g is 0.040 (4.0 percent per year). What will be the value of GDP in 2041 given this slightly larger rate of growth? What does this result say about the importance of policies that promote even slightly faster rates of growth in GDP?At an annual growth rate of 2% it will take approximately years for a country's GDP to double. Over the next 70 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 70 years the value of GDP will be $ million. In 70 years the value of GDP will be times larger than it is today.
- Suppose the initial real per capita GDP for countries A and B is 7 thousand dollars. If the annual growth rates of countries A and B are respectively 2.6% and 4.6% , what is the the ratio GDP of country B over GDP of country A after 67 years? Round your answer to the nearest first decimalIn 2017, the population in the US was estimated at 325.1 million. The population in 2018 was estimated to be 326.8 million. Assuming that the population growth is compounding annually at a constant growth rate, calculate the growth rate from year 1 to year 2. Source: United States Census Bureau 0.45 % 5.2 % 4.5 % 0.52%Small differences in growth rates in the size of the economy, over several decades, will result in big differences in the size of the economy. Pretend we start in 1950 and the U.S. growth in real GDP has been around 3.15%. This has resulted in real GDP growing 8 times over this 70-year period (1950 to 2020). If real GDP growth had been 4.0%, real GDP would be times larger. a. 8 (about the same growth as with 3.15% growth) b. 10 С. 14 d. 16
- Real GDP per capita in the country of Arcadia grew from about $4,666 in 1900 to about $42,069 in 2008, which represents an annual growth rate of 2.06 percent. If Arcadia continues to grow at this rate, calculate the number of years when its real GDP per capita will double. years. (Enter your response as an integer.)GDP per capita in the United States was approximately $63,000 in 2020. Use the growth formula (see below) to answer the following questions: Growth formula: (future value) = (present value) × (1 + r)t present value = this year's GDP per capita future value = GDP per capita in the future r = rate of growth (in decimal form) per year What will GDP per capita be in the year 2025 if it grows each year by 2.5 percent?Fill in the blank Italy is a relatively rich country with per-capita GDP of $28,000. India is a relatively poor with per-capita GDP of only $3,500. However, India is growing rapidly at a growth rate of 5% per year. We want to find how many years it will take for India’s per capita GDP to equal Italy’s current per-capita GDP of $28,000. How many times must India's per-capita GDP double in order to reach Italy's per-capita GDP? India's per-capita GDP must double ________________________ times. Use the rule of 70 to find how many years it will take for India's per-capita GDP to double once at a 5% growth rate.
- In 2017, Country A had a GDP per capita of $8,500 and a population of 68.6 million people. In 2018, total GDP increased by 6.8%, and population growth was 0.9%. What was the GDP per capita in 2018? If necessary, round any intermediate calculations and your final answer to two decimal places.In this section we looked at the growth rate formula for measuring the average annual growth rate of a variable, such as the CPI, the GDP deflator, or real GDP. It can be used for any two years, which may be years apart. For example, in the worksheet you computed the average annual rate of inflation from 1920 to 2020. If you use the growth rate formula for a variable one year apart, do you get the same value as you do with the percentage change formula? Hint: Say that real GDP grew from $20.0 trillion one year to $20.4 trillion the next year. Do both the percentage change and the growth rate formulas give you the same answer? yes noSpain's current real GDP (YO) is €326 billion, and grows at a constant rate of 1.1%. Portugal's current real GDP is smaller (€55 billion), but they are experiencing a constant 4.8% growth rate. Part a) Calculate the real GDP for both countries 30 years, 50 years and 70 years from now. Allow the calculator to carry decimals in your intermediate calculations, but round GDP to the nearest billion Euro. Use these rounded values throughout the rest of the problem. Part b) Calculate the percentage difference in real GDP between the two countries for each 20-year interval. Report your answer in percentage form, rounded to the nearest integer. Part c) Suppose Portugal's goal is to catch up to Spain's GDP in 25 years. What growth rate must they sustain each year if they are to accomplish their goal? Express your answer as a percentage, rounded to one decimal place.