Business Calculus Quiz
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A new streaming service finds that the net rate of change of its subscribers is modeled by S′(t)=(t+10)(40−t)S'(t) = (t+10)(40-t) subscribers per month, where tt is the number of months after launch. At launch (t=0t=0), they had 500 'early adopter' subscribers. How many subscribers, to the nearest whole number, do they have after 10 months?
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