A population of turkeys grows in a forest according to an exponential model A(t) = Ae^kt (t is measured in days). Suppose the forest has 50 turkeys on day t = 0 and 300 turkeys on day t = 28.  (a) Find A and k and write an expression for the number of turkeys on day t. (b) Find the exact number of turkeys on day t = 90 (not a decimal approximation). Use a calculator to find this value rounded to the nearest whole number. (c) On what day will the forest's turkey population reach 1000?

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