plz explain, thx
You may also need the log properties: logliab} = blog{a) and log(o.b) = log(a} + log(b}. The properties imply: log(Xt) = longo) + t10g(1 + y)- a. Suppose the initial real per capita GDP for countries A and B is 11 thousand dollars. If the annual growth rates of countries A and B are respectively 3.8% and 5.8%, what is the the ratio X3 fXA after 42 years? Round your answer to the nearest first decimal. laser: b. Suppose the annual growth rates of countries A and B are respectively 3.8% and 5.8%. How many years it will take for each country to double their respective real per capita GDP? Round your answer to the nearest first decimal. Country A: I ll? ' CountryB:|SFf ' I9Ef=9 c. Suppose the initial real per capita GDP of countries A, 8 and C are respectively 10, 10 and 50 thousand dollars. If their annual growth rates are respectively 3.8%, 5.8% 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 first decimal. Country A: l ll? ' Country 8: | Ell? ' 3or the following questions, you will need the following formula: let X0 be the initial value. X; be the value after ': periods and g be the growth rate by period, then Xt = XD(1 +g)t . r'ou may also need the log properties: log(ab} : blog(a) and log(o.b) : log(o.) + log(b). The properties mply: log(Xt) = logniX -l- flog(1 + g} . a. Suppose the initial real per capita GDP for countries A and B is 11 thousand dollars. If the annual growth rates of countries A and B are respectively 3.8% and 5.8%, what is the the ratio XB/XA after 42 years? Round your answer to the nearest first decimal. ll? b. Suppose the annual growth rates of countries A and B are respectively 3.8% and 5.8%. How many years it will take for each country to double their respective real per capita GDP? Round your answer to the nearest lessen aw: mmm