Between 1975 and 2010, South Korea’s GDP percapita grew at an average rate

Question
Between 1975 and 2010, South Korea’s GDP percapita grew at an average rate of 5.4% per yearwhereas GDP per capita in the United Statesgrew at an average rate of 1.8%. In 2010, U.S.GDP per capita was $42,189 and South KoreanGDP per capita was $20,922. Assuming that thetwo countries continue to grow at these rates, inwhat year will South Korea overtake the UnitedStates in terms of GDP per capita?

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