In 2013, you buy shoes for $2 a pair and socks for $1 a pair, and your income is $30, with which you buy 12 pairs of shoes and 6 pairs of socks. in 2014, you buy shoes for $1 a pair and socks for $2 a pair, and your income is still $30.

a. draw both years’ budget lines. notice that they cross at the point (10,10).
b. true or false: in 2014, you will surely buy more than 10 pairs of shoes.
c. true or false: in 2014, you will surely buy more than 12 pairs of shoes.

Lincoln company has an accounting policy for internal reporting purposes whereby the costs of any research and development projects that are over 70 percent likely to succeed are capitalized and then depreciated over a five-year period with a full year of depreciation in the year of capitalization. in the current year, $400,000 was spent on project one, and it was 55 percent likely to succeed, $600,000 was spent on project two, and it was 65 percent likely to succeed, and $900,000 was spent on project three, and it was 75 percent likely to succeed. in converting the internal financial statements to external financial statements, by how much will net income for the current year have to be reduced? a. $180,000b. $380,000c. $720,000d. $900,000

For a multistate lottery, the following probability distribution represents the cash prizes of the lottery with their corresponding probabilities. complete parts (a) through (c) below. x (cash prize, $) p(x) grand prizegrand prize 0.000000008860.00000000886 200,000 0.000000390.00000039 10,000 0.0000016950.000001695 100 0.0001582930.000158293 7 0.0039114060.003911406 4 0.0080465690.008046569 3 0.012865710.01286571 0 0.975015928140.97501592814 (a) if the grand prize is $13 comma 000 comma 00013,000,000, find and interpret the expected cash prize. if a ticket costs $1, what is your expected profit from one ticket? the expected cash prize is $nothing.

Find the zeros of the polynomial 5 x square + 12 x + 7 by factorization method and verify the relation between zeros and coefficient of the polynomials