A recent newspaper article quoted a planner in a Florida city as saying, “This city has been growing at the rate of 4.2% per year. That’s not slow growth by any means. It corresponds to 42% growth per decade.” Explain what is incorrect about this statement. If, in fact, the current population size of the city is 100,000 and in each of the next 10 years the city increases in size by 4.2% relative to the previous year, then

(a) What is the population size after a decade?

(b) What percentage growth occurs for the decade?