A town has a population of 7000 and grows at 3% every year. To the nearest year, how long will it be until the population will r
1 answer:
Answer: It takes almost 19 years to reach the population of 12400.
Step-by-step explanation:
Since we have given that
Initial Population = 7000
Rate of growth = 3% every year
Final population = 12400
We need to find the number of years.
As we know the formula for "Compound Interest":
Hence, It takes almost 19 years to reach the population of 12400.
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Answer:
a) Y(x) = {900, x≤30; 900-40(x-30), x>30}
b) T(x) = {900x, x≤30; 2100x-40x², x>30}
c) dT/dx = {900, x≤30; 2100-80x, x>30}
Step-by-step explanation:
a) The problem statement gives the function for x ≤ 30, and gives an example of evaluating the function for x = 35. So, replacing 35 in the example with x gives the function definition for x > 30.
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b) The yield per acre is the product of the number of trees and the yield per tree:
T(x) = x·Y(x)
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c) The derivative is ...
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The attached graph shows the yield per acre (purple, overlaid by red for x<30), the total yield (black), and the derivative of the total yield (red). You will note the discontinuity in the derivative at x=30, where adding one more tree per acre suddenly makes the rate of change of yield be negative.
