(40 points)

the function f(x) = 501170(0.98)^x gives the population of a texas city x years after 1995

1. what was the population in 1995?
2. is the population increasing or decreasing?
3. what is the rate of population change?
4. based on the function, what is the population predicted to be in 2020?

Acompany manufactures three types of cabinets. it makes 110 cabinets each week. in the first week, the sum of the number of type-1 cabinets and twice the number of type-2 cabinets produced was 10 more than the number of type-3 cabinets produced. the next week, the number of type-1 cabinets produced was three times more than in the first week, no type-2 cabinets were produced, and the number of type-3 cabinets produced was the same as in the previous week.