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- With continuously compounding population growth of 3% per year, starting with a population of 1 million people, how many people will there be after 100 years, to the nearest million? a. 4 million b. 20 million c. 26 million d. 10 millionIf income per capita is growing at a constant rate 3%, how long will it take to double?Country Z INDICATOR NOW 1 YEAR AGO GDP growth rate 3.7% 3.5% Explain if each country is healthy. Click True for Healthy Click False for Not Healthy O True O False
- The populations of Towns A, B, and C vary exponentially with respect to time. a. The population of Town A increases by 46% every 13 ycars. What is the annual percent change in the population of Town A? It% Preview b. The population of Town B decreases by 25% every 7 years. What is the annual percent change in the population of Town B? % Preview c. The population of Town C triples every 8 years. What is the annual percent change in the population of Town C? *% PreviewCountry Z INDICATOR NOW 1 YEAR AGO GDP growth rate 3.7% 3.5% Explain if each country is healthy. Click True for Healthy Click False for Not Healthy O True O FalseConsider 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 6
- 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 infectedAssume there are two countries: South Korea and the United States. South Korea grows at 4 and the United States grows at 1. For the sake of simplicity, assume they both start from the same fictional income level, 10,000. What will the incomes of the United States and South Korea he in 20 years? By how many multiples will each countrys income grow in 20 years?TFR and Birth Rates:a. Define the crude birth-rate and the total fertility rateSuppose country A and B have are identical in their population size andstructure, and rate of mortality, but A has a higher average TFR than B.b. What could be some of the reasons why A has a higher fertility ratethan B?c. What will be true about the size and age structure of the population in Arelative to B in 25 years? Will the proportion of young people to oldpeople be higher or lower in A?d. Now suppose the governments of both A and B impose a one-child policy(the TFR was greater than 1 in both A and B). Suppose the policy is fullyenforced (i.e. all families indeed have one kid). Is the fertility rate thesame in A and B? Is the birth rate same in A and B?e. Is the population growth rate higher or lower in A?f. As more time passes, the population growth will eventually slow down inboth countries. What will happen to the proportion of old in the populationas population growth slows down?
- If a country has a 5% annual growth in Real GDP and the population of that country also rises by 5% a year. What is the change in Real GDP per capita in a year? Remember: GDP per capita= Real GDP/Population. It is the most common measure of standard of living a. 5% Ob. None O c. 2.5% Od. Impossible to determineSay that the average worker in Argentina has a productivity of $15 per hour while the average worker in Brazil has a productivity of $14 per hour (both measured in U.S. dollars). If worker productivity, over the next 5 years, grows 3% per year in Brasil and 2% in Argentina. At the end of the 5 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).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?
