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A: Note:- according to the company policy we can attempt ?️ only one question so please upload the next...
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A: NOTE: Refresh your page if you can't see any equations. . use the L'hospital rule
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- How can I find the gini index of y = x^1.1?In an effort to make the distribution of income more nearly equal, the government of a country passes a tax law that changes the Lorenz curve from y = 0.97x2.1 for one year to y = 0.35x2 + 0.65x for the next year. Find the Gini coefficient of income for both years. (Round your answers to three decimal places.) before afterThe population, P, of the city of Hazelton has grown according to the mathematical model P = 65,000(1.075)*, where t is the number of years since 2005. a) At what percentage is the population growing? b) If this trend continues, during which year will the population reach approx. 100,000?
- Suppose that the Lorenz Curve for country A is given by yA = x 2.2 and for country B is yB = 0.3x 2 + 0.7x. Use the Gini index to determine which of the two countries has greater inequality in its income distribution.Suppose a Lorenz curve for a particular country is f(x)=x4 for 0≤x≤1. What is the Gini index of income concentration for this country? Give your answer to the nearest integerAn individual improperly disposes of 8 parakeets in a nearby woodland, where they begin to reproduce at an initial rate of 3 parakeets per month. Write a differential equation for the population P assuming logistic growth, where the woodland can support at most 500 parakeets. (Do not round any coefficients.) dP/dt =
- find f(x) by solving initial value problemThen what would the value of x be if g(x) is less than or equal to 0 and also how do you find the net change in g between x=1 and x=2The U.S. Bureau of the Census prediction for the percentage of the population 65 years and older can be modeled as p(x) = −0.00022x3 + 0.014x2 − 0.0033x + 12.236 percent where x is the number of years since 2000, data from 0 ≤ x ≤ 50. 1. Determine the value of x in the domain 0 ≤ x ≤ 50 for which the percentage is predicted to be increasing most rapidly (Round your answer to three decimal places). 2. Thus, in which year is the percentage is predicted to be increasing most rapidly? 3. Calculate the percentage at that time. (Round your answer to two decimal places.) 4. Calculate the rate of change of the percentage at that time. (Round your answer to three decimal places.)
- Can we solve this using L’Hôpital’s Rule?Suppose a man is 30 years old and would like to retire at age 60. Furthermore, he would like to have a retirement fund from which he can draw an income of $75,000 per year—- forever. How can he do it? Assume a constant APR of 6%. He can have a retirement fund from which he can draw $75,000 per year by having $? in his savings account when he retires.The work force of a certain factory is growing at rate of 2 per month while the average productivity of a worker is growing at a rate of 4 units per month. If the work force is currently 100 and the average productivity per month is 200 units, at what rate is the total productivity per month of the factory increasing?
