Answer:
(a)25439 Employees
(b)51 employees per year
Step-by-step explanation:
Given that the number N of employees at a company can be approximated by the equation:
[tex]N (x) = 24,787(1.002)^x[/tex], (where x is the number of years since 1990).
Part A
We want to determine how many employees were there in 2003.
When x=13
[tex]N (13) = 24,787(1.002)^{13}\\\approx 25439$ employees[/tex]
Part B
If [tex]N (x) = 24,787(1.002)^x[/tex]
[tex]N'(x)=24787(1.002)^x\ln 1.002\\$Therefore:\\N'(13)=24787(1.002)^{13} \times \ln 1.002\\N'(13)=50.83[/tex]
In 2003, the number of employees was changing at a rate of approximately 51 employees per year.
