A newspaper is launching a new advertising campaign in order to increase the number of daily subscribers. The newspaper currently (t=0) has 25,000 daily subscribers and management expects that number, S(t), to grow at the rate of S '(t) = 80t^½ subscribers per day, where t is the number of days since the campaign began. How long (to the nearest full day) should the campaign last if the newspaper wants the number of daily subscribers to grow to 52,000?

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter2: Graphical And Tabular Analysis
Section2.1: Tables And Trends
Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...
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  1. A newspaper is launching a new advertising campaign in order to increase the number of daily subscribers. The newspaper currently (t=0) has 25,000 daily subscribers and management expects that number, S(t), to grow at the rate of S '(t) = 80t^½ subscribers per day, where t is the number of days since the campaign began. How long (to the nearest full day) should the campaign last if the newspaper wants the number of daily subscribers to grow to 52,000?
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