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A new fast-food firm predicts that the number of franchises for its products will grow at the rate dn dt = 6 t + 1

A new fast-food firm predicts that the number of franchises for its products will grow at the rate dn dt = 6 t + 1 where t is the number of years, 0 t 15. If there is one franchise (n = 1) at present (t = 0), how many franchises are predicted for 3 years from now?

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