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The process by which a highly developed population's rate of growth will stabilize is called Demographic Transition. Demographic transition is a model that describes the change in population over time. It is the transition in the birth and death rates over the past two hundred years.
The US is described as a mixed market economy because both the government and the private sector take a role in economic planning. The government doesn't completely control the economy thus it is shared with the private sector and called a mixed market economy.