Final answer:
To find the number of chickens after 3 years, use the equation A = P(1 + r)^n, where A is the final amount, P is the initial amount, r is the rate of increase, and n is the number of years. Plug in the values P = 42, r = 25% (0.25), and n = 3 and solve for A.
Step-by-step explanation:
To find the number of chickens after 3 years, we can use the equation for compound interest: A = P(1 + r)^n, where A is the final amount, P is the initial amount, r is the rate of increase, and n is the number of years. In this case, P = 42, r = 25% (which can be written as 0.25), and n = 3. Plugging these values into the equation, we have A = 42(1 + 0.25)^3. Simplifying the equation, we get A = 42(1.25)^3. Evaluating this expression, we find that A ≈ 71.48. Therefore, after 3 years, you would have approximately 71 chickens on your farm.