Question 45 (5 points) Suppose country Alpha, with a per capita GDP of $100,000, grows at a rate of 3% per year. Country Beta, with a per capita GDP of $2,000, grows at a rate of 8% per year. Assuming that the growth rates for both countries stay the same for the next five years. 1. What is the per capita GDP in five years for both countries? 2. How many times Alpha's GDP per capita is larger than Beta before and after 5 years? 3. What do you say about economic convergence between these two countries? 1. H