In 1980, the population of a city was growing exponentially according to the equation p(t)=1000e⁰.⁰²ᵗ where t=time in years and p=population.
a) What was the initial population in 1980?
b) What is the growth rate per year?
c) When will the population reach 2000?
d) What is the population after 10 years?