Based on a study, the Lorenz curves for thedistribution of incomes for bankers and actuaries aregiven respectively by the functions19x +1010andg(x) = 0.81x³.5 +0.19x(a) What percent of the total income do the richest20% of actuaries receive? Note: Round off to two decimalplaces if necessary.(b) Compute for the Gini index of f(x) and g(x).What can be implied from the Gini indices of f(x)and g(x)?x³

Given: Lorenz curve for the distribution of incomes for bankers, fx=110x+910x3. Lorenz curve for…

Answered: Based on a study, the Lorenz curves for…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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0.9x Determine the percentage rate of change of f(x) =- at x = 15 and x = 30. O f(15) f(15) f(30) = 17%, f(30) = 29% O f(15) f(30) = 90%, = 90% f(15) f(30) O f(15) f(30) = 38%, = 14% f(15) f(30) O f(15) f(30) f(30) = 22%, = 5% f(15) Moving to the next question prevents changes to this answer. ere to search 近

Lorenz curves also can be used to provide a relative measure of the distribution of the total assets of a country. Using data in a report by the economic committee of a certain country, an economist produced the following Lorenz curves for the distribution of total assets in the country in 1963 and 1983, shown below. f(x)=x7 Lorenz curve for 1963 g(x)=x12 Lorenz curve for 1983 Find the Gini index of income concentration for each Lorenz curve and interpret the results. Question content area bottom Part 1 What is the Gini index for 1963? (Round to three decimal places as needed.) Part 2 What is the Gini index for 1983? (Round to three decimal places as needed.) Part 3 Interpret your results. A. Total assets were more equally distributed in 1963 B. Total assets were distributed the same in 1963 as in 1983. C. Total assets were more equally distributed in 1983
1. Countries across the world have been reporting the number of people who are confirmed to have Covid-19 and the number of people who have died with the disense. The graphs below show such numbers for Italy between January and October 2020. The blue line depicts the number of confirmed cases of Covid-19 and the red line the number of deaths. We call these two C(t) and D(t) respectively, where t is time measured in days since 5 January 2020. (So t =0 is the start of 5 January 2020-Le. midnight on 4 January 2020 and t= 148 would be the start of June, midnight of 31 May 2020.) [Downloaded from https://newseu.egtn.com/on 12.01.2021.] ITALY CASES AND DEATHS SINCE JANUARY 2020 Total 7-day rolling average 20,000 16,000 16.000 900 14,000 12.000 701 10,000 500 4.000 100 30 Aug 13 5ep 27 Sep Deaths
Suppose that tax paid by a certain person per year is denoted T;, and is calculated using the following relationship to that persons gross income (G₁): Ti = 0.25(G₁ - 10000) (i.e, only people who have an income over $10,000 per year are taxed, and only the income beyond $10,000). You are told that the total gross income for an area with 200 people is $6,000,000. Assume that all the people measured make over $10,000 a year. (a) Find the total taxes collected for the 200 people. (b) Find ΣT; for the 200 people. 100 (c) Find (2G₁ – 40) for the 200 people.

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