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A bunny farm just opened. They started with 10 bunnies. In 4 months, there are 400 bunnies. Assume growth will continue at this rate. Use the equation, A(t) = Aoe^kt. (a) Find the k value for this exponential growth of bunnies. Round to 5 decimal places and use this k value for part b and c below. k = (function of t) (b) Find the size of the population after 8 months. A(8) = (c) When will the population reach 175? T = months

          A bunny farm just opened. They started with 10 bunnies. In 4 months, there are 400 bunnies. Assume growth will continue at this rate. Use the equation, A(t) = Aoe^kt.
(a) Find the k value for this exponential growth of bunnies. Round to 5 decimal places and use this k value for part b and c below.
k = 
(function of t)
(b) Find the size of the population after 8 months.
A(8) = 
(c) When will the population reach 175?
T = 
months

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A bunny farm just opened. They started with 10 bunnies. In 4 months, there are 400 bunnies. Assume growth will continue at this rate. Use the equation, A(t) = Aoe^kt.
(a) Find the k value for this exponential growth of bunnies. Round to 5 decimal places and use this k value for part b and c below.
k =
(function of t)
(b) Find the size of the population after 8 months.
A(8) =
(c) When will the population reach 175?
T =
months

Added by Mark C.

Calculus: Early Transcendentals

James Stewart 8th Edition

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Solved by Expert Adi S

09/06/2023

Step 1

We are also given that the growth is exponential, so we can write the equation as: A(t) = Ab^t where A(t) is the number of bunnies after t months, A is the initial number of bunnies (10), b is the growth factor, and t is the time in months. (4) We are given Show more…

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A bunny farm just opened. They started with 10 bunnies. In 4 months, there are 400 bunnies. Assume growth will continue at this rate. Use the equation, A(t) = Aoe^kt. (a) Find the k value for this exponential growth of bunnies. Round to 5 decimal places and use this k value for part b and c below. (b) Find the size of the population after 8 months. (c) When will the population reach 175?

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