(A) Show that the doubling time t (in years) at an annual rate r compounded continuously is given by

(B) Graph the doubling-time equation from part (A) for 0.02 ≤ r ≤ 0.30. Is this restriction on r reasonable? Explain.

(C) Determine the doubling times (in years, to two decimal places) for r = 5%, 10%, 15%, 20%, 25%, and 30%.

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