There are 300 employees at these publishers, and the spread of the news is modeled by y = 300/(1 + 299e-0.3t), where y is the number of employees who have heard the news and t is the time in minutes. How long before 75% of the employees have heard the news?
First , 75% of 300 employees is .75 x 300 = 225
then
225 = 300/(1+299 e(-.3t) ) re-arranging
1+299 e(-.3t) = 300/225
1+299 e(-.3t) = 1.3333333
299 e(-.3t) = 0.333333
e(-.3t) = .3333333/299 Now take the ln of both sides
-.3t = - 6.7990558
t= 22.66 minutes