6. The United States had a Gini index of 45.0 in 2007. (Source: Department of Labor Statistics.) Express this as a decimal: G = 0.45. a) Solve for n, and write the Lorenz function in the form f(x) = x¹. b) According to this model, what percentage of the wealth was owned by the least wealthy 55% of U.S. citizens in 2007?

6. Find the value of x in the equations listed below. a. log,(x + 1) = 7 b. e* = 712 c. 2.6* = 4**1 %3D

; Given the exponential model y = 2.65 * 1.43* answer the questions below rounding to two decimal places. a) Use the model found above to calculate y(3.5). У(3.5)- b) Solve y = 4 for x. x =

A certain city's power company charges their residents for electricity usage on a daily basis. There is a basic charge of 11.57 cents. For each day the first 10 kWh cost 4.81 cents per kWh and any additional kWhs are 9.69 per kWh. (A kWh, or kilowatt-hour, is a unit of energy.) (a) Complete the following table using the information provided above. kWhkWh 0 5 10 15 20 cost (dollars)cost (dollars)           kWhkWh 25 30 35 40 cost (dollars)cost (dollars)         (b) We can define a piecewise function f(x)f(x) where xx is the kWh used in a day and f(x)f(x) is the cost, in dollars. This function would have the form   f(x)={g(x)h(x)ififx∈Ax∈Bf(x)={g(x)ifx∈Ah(x)ifx∈B What functions g(x)g(x) and h(x)h(x) make up the piecewise function f(x)f(x)? g(x)=g(x)= for A = h(x)=h(x)= for B = Hint: A and B are intervals. If an interval uses ±∞±∞ write inf or -inf . (c) Using the above function, what is the cost of 26 kWh? dollars. (d) For 3 dollars, what is the maximum kWh usage for one…