Question

Find an equation of the line that satisfies the given condition. (Let x be the independent variable and y be the dependent variable.)

The line passing through the origin and parallel to the line passing through the points

(2, 9) and (4, 16)

B.A financier plans to invest up to $500,000 in two projects. Project A yields a return of 12% on the investment of x dollars, whereas Project B yields a return of 14% on the investment of y dollars. Because the investment in Project B is riskier than the investment in Project A, she has decided that the investment in Project B should not exceed 40% of the total investment. How much should the financier invest in each project in order to maximize the return on her investment?

C.Let

U = {7, 8, 9, 10, 11, 12, 13, 14, 15, 16},

A = {7, 9, 11, 13, 15},

B = {8, 10, 12, 14, 16},

and

C = {7, 8, 10, 11, 14, 15}.

List the elements of each set. (Enter your answers using roster notation. Enter EMPTY or ∅ for the empty set.)

(a)    (A ∩ B) ∪ C

(b)    (A ∪ B ∪ C)^c

(c)    (A ∩ B ∩ C)^c

^C.In a survey of 250 employees of a company regarding their 401(K) investments, the following data were obtained.

140 had investments in stock funds.
92 had investments in bond funds.
74 had investments in money market funds.
50 had investments in stock funds and bond funds.
36 had investments in stock funds and money market funds.
37 had investments in bond funds and money market funds.
53 had investments exclusively in some other vehicle.

(a) How many of the employees surveyed had investments in all three types of funds?
employees

(b) How many of the employees had investments in stock funds only?
employees

Answer 1

According to the rules only first question will be answered