The number N of employees at a company can be approximated by the equation N (x) = 24,787(1.002)x, where x is the number of years since 1990. A) Approximately how many employees were there in 2003?
B) Find N′ (13).

(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:

, (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

Part B

If

In 2003, the number of employees was changing at a rate of approximately 51 employees per year.

arithmetic sequence

step-by-step explanation:

given that a sequence has terms as

19, 15, 11,

this is represented on a graph

the pattern indicates that the sequence is an arithmetic sequence with i term

a=19 and common difference d =-4

any general term

thus the sequence is reduced by 4 for each successive term starting from 1 and nth term is

24-5n.

first negative term would start after 5th term

5th term =24-25< 0

from 5th term onwards the sequence would be negative.

answer: 0,6

step-by-step explanation:

this would make it the y intercept.