The population P(t) of a bacteria culture is given by P(t)=-1,500t2+60,000t+10,000, where t is the time in hours after the culture is started. Determine the time(s) at which the population will be greater than 460,000 organisms.

The population P(t) of a bacteria culture is given by P(t)=-1,500t2+60,000t+10,000, where t is the time in hours after the culture is started. Determine the time(s) at which the population will be greater than 460,000 organisms.

Trigonometry (MindTap Course List)

10th Edition

ISBN:9781337278461

Author:Ron Larson

Publisher:Ron Larson

Chapter6: Topics In Analytic Geometry

Section: Chapter Questions

Problem 33CT

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The population P(t) of a bacteria culture is given by P(t)=-1,500t²+60,000t+10,000, where t is the time in hours after the culture is started. Determine the time(s) at which the population will be greater than 460,000 organisms.

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