Question:

A satellite radio station is launching an advertising

Last updated: 7/15/2022

A satellite radio station is launching an advertising

A satellite radio station is launching an advertising campaign in order to increase the number of daily listeners. The station currently has 27000 daily listeners, and management experts the numbers of the daily listeners, S(t), to grow at a rate of S'(t) = 60t1/2 listeners per day, where t is the number of days since the campaign began. How long should the campaign last if the station wants the number of daily listeners to grow to 41000?