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An institute finds that the average student taking Elementary Shorthand will progress at a rate given...

An institute finds that the average student taking Elementary Shorthand will progress at a rate given by

dQ/dt = k(70 − Q)

in a 20-wk course, where Q(t) measures the number of words of dictation a student can take per minute after t wk in the course. If the average student can take 50 words of dictation per minute after 10 wk in the course, how many words per minute can the average student take after completing the course? (Round your answer to the nearest whole number. Assume Q0 = 0.)

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