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📰 Question: An epidemiologist models the spread of a virus in a population with the equation $ p(t) = -t^2 + 14t + 30 $, where $ p(t) $ represents the number of infected individuals at time $ t $. What is the maximum number of infected individuals? 📰 Solution: The quadratic $ p(t) = -t^2 + 14t + 30 $ opens downward. The vertex occurs at $ t = -\frac{b}{2a} = -\frac{14}{2(-1)} = 7 $. Substituting $ t = 7 $, $ p(7) = -(7)^2 + 14(7) + 30 = -49 + 98 + 30 = 79 $. 📰 \boxed{79} 📰 Youll Cry When You See How James Wynn Crypto Took Over The Market With Just One Move 8717357 📰 Why Amzn Stock Is Surgingexperts Say This Huge Move Could Double Your Investment 5484420 📰 Nanazip Download 7038555 📰 Jin Wook 8756111 📰 Funker530 Finally Reveals The Secret That Will Shock You 820320 📰 Saucon Valley Country Club 1579913 📰 What Breece Hall Did In His Trade Could Rewrite Entire Industry Rules 9281089 📰 You Wont Believe What Happens If You Skip Maintenance 3028399 📰 Unlock The Royal Roads Dark Secretthis Truth Will Rewrite Your Past Forever 678397 📰 Answerquestion In The Philosophy Of Mind What Is The Hard Problem As Formulated By David Chalmers 2786446 📰 Best Resorts In Punta Cana 7686595 📰 Hyatt Centric The Pike Long Beach 2484440 📰 Spider Venom Torarophobic Burning Insidedo You Know The Full Impact 7852935 📰 Jstack Explosion Unlock Speed Performance Thatll Amaze You 7743671 📰 Cerulean Card 589900