Will the Poorer Country Catch Up? Suppose one country has a GDP that is one-eighth the GDP of its richer neighbor. But the poorer country grows at 10 percent a year, while the richer country grows at...

Will the Poorer Country Catch Up? Suppose one country has a GDP that is one-eighth the GDP of its richer neighbor. But the poorer country grows at 10 percent a year, while the richer country grows at 2 percent a year. In 35 years, which country will have a higher GDP? (Hint: Use the rule of 70.)