Suppose that the equation represents the number of employees working t years after a company begins operations. After how many years will at least 300 employees be working? Round your answer to two decimal places.
A) after 3.66 years
B) after 4.30 years
C) after 100.00 years
D) after 0.22 year
E) after 1.12 years

Question

Suppose that the equation  represents the number of employees working t years after a company begins operations. After how many years will at least 300 employees be working? Round your answer to two decimal places. ​
A) after 3.66 years 
B) after 4.30 years 
C) after 100.00 years 
D) after 0.22 year 
E) after 1.12 years

Quizplus · Accepted Answer

We need to solve the inequality:
11ea984b_adf1_69e5_9029_0942c0709dde_TB4005_11 ≥ 300
Simplifying, we get:
tln(2.5) ≥ ln(27.27)
t ≥ ln(27.27)/ln(2.5)
t ≈ 4.30 years (rounded to two decimal places)

Suppose That the Equation Represents the Number of Employees