Social media platforms rely heavily on user engagement to generate revenue through advertising. Let's consider a social media app, Chatter, whose daily active users can be modelled by the exponential function: 0.08 ( ) 2000 t U t e= where ( ) U t is the number of daily active users at time t (days since launch) (a) How many daily active users did Chatter have on the day it launched (t = 0)? (b) At what rate is the number of daily active users growing each day? Explain your answer in terms of percentage increase. (c) It takes Chatter approximately 3 months (90 days) to reach 1 million daily active users. Use the given function to find the value of t at which U(t) reaches 1,000,000. (d) Chatter's marketing team wants to develop a strategy to reach 5 million daily active users within the next year (365 days). Based on the current growth model, is this a realistic target? Briefly explain your answer.