The following table shows the GDP per capita since 1820 in selected countries (in PPP-adjusted 2005 dollars). 1. Identify the countries that experienced sustained growth from 1920 to 2010.

Calculate approximately how many years it will take per capita GDP in the United​ States, Mexico,​ China, Rwanda, and Haiti to​ double, assuming that each country continues to grow at the same average rate as between 1960 an 2010. ​(Hint​: Use the Rule of 70​.) ​(Round your responses to one decimal place. Enter ​"−​1" if a country will never double its GDP​.)     Implied​ (Average) Annual Growth​ (%)   Years to Double   United States     2.00 ?   Mexico     1.79 ?   China     4.72 ?   Rwanda     0.60 ?   Haiti −0.14 ? If the United​ States, Mexico,​ China, Rwanda, and Haiti continue to grow at the rates given in the​ exhibit, how many years​ (starting from 2010​)would it take each to catch up to the United States in terms of per capita​ GDP? ​(Hint​: If a​ country's GDP per capita is growing at a constant​ rate, g​, then the natural log of GDP per capita t years into the future​ is: ln y​(t​) ​= ln y​(0) ​+ gt​, where y​(0) is GDP per…

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Real GDP per capita in the country of Arcadia grew from about $4,703 in 1900 to about $42,731 in 2008, which represents an annual growth rate of 2.06 percent . if the 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 integers)