In a certain region, 6% of a city’s population moves to the surrounding suburbs each year, and 4% of the suburban population moves into the city. a 2019 census measures 10,000,000 residents in the city and 800,000 in the suburbs. (a) set up a difference equation (of the form ~xn+1 = a~xn) that describes this situation, where ~x0 is the initial population in 2019. (b) estimate the populations in the city and suburbs two years later, in 2021.