Please have a look of the question below and list the answers corresponding to the blanks in the picture. At the end, please briefly clarify how did you get the numbers.

For the following questions, you will need the following formula: let X0 be the initial value, Xt be the value after 1: periods and g be the growth rate by period, then Xt =X0(1+9)t- You may also need the log properties: 10g(a,b) = blog(a) and log(ab) = log(a) + 10g(b). The properties imply: log(Xt) = log(X0) + t10g(1 + g). a. Suppose the initial real per capita GDP for countries A and B is 9 thousand dollars. If the annual growth rates of countries A and B are respectively 2.3% and 4.3%, what is the the ratio XB/XA after 70 years? Round your answer to the nearest rst decimal. E515]? b. Suppose the annual growth rates of countries A and B are respectively 2.3% and 4.3%. How many years it will take for each country to double their respective real per capita GDP? Round your answer to the nearest rst decimal. Country A: M? Country B: ll? c. Suppose the initial real per capita GDP of countries A, B and C are respectively 10, 10 and 50 thousand dollars. Iftheir annual growth rates are respectively 2.3%, 4.3% and 1.0%, how many years it will take for countries A and B to converge to country C? Round your answer to the nearest rst decimal. Country A: M$ Country B: ll