The Birth Rate in a Certain City Is 2% Per $y ^ { \prime } = 4000 - 0.005 y ?$

question 10

True/False

The birth rate in a certain city is 2% per year and the death rate is 2.5% per year. Also, there is a net movement of population into the city at the rate of 4000 people per year. Let N = f(t) be the city's population at time t. Write the differential equation satisfied by f(t). Does this equation accurately represent this situation: $y ^ { \prime } = 4000 - 0.005 y ?$

---

Definitions:

Federal Income Taxes

Taxes levied by the United States federal government on the annual earnings of individuals, corporations, trusts, and other legal entities.

Social Security Taxes

Taxes collected by the government from employees and employers to fund the Social Security program, which provides retirement, disability, and survivorship benefits.