A company purchased $10,000 of merchandise on June 15 with terms of 3/10, n/45, and FOB shipping point. The freight charge, $500, was added to the invoice amount. On June 20, it returned $800 of that merchandise. On June 24, it paid the balance owed for the merchandise taking any discount it is entitled to. The cash paid on June 24 equals:

Consider a small island country whose only industry is weaving. the following table shows information about the small economy in two different years. complete the table by calculating physical capital per worker as well as labor productivity. hint: recall that productivity is defined as the amount of goods and services a worker can produce per hour. in this problem, measure productivity as the quantity of goods per hour of labor. year physical capital labor force physical capital per worker labor hours output labor productivity (looms) (workers) (looms) (hours) (garments) (garments per hour of labor) 2024 160 40 1,800 14,400 2025 180 60 3,900 23,400

When interest is compounded continuously, the amount of money increases at a rate proportional to the amount s present at time t, that is, ds/dt = rs, where r is the annual rate of interest. (a) find the amount of money accrued at the end of 3 years when $4000 is deposited in a savings account drawing 5 3 4 % annual interest compounded continuously. (round your answer to the nearest cent.) $ (b) in how many years will the initial sum deposited have doubled? (round your answer to the nearest year.) years (c) use a calculator to compare the amount obtained in part (a) with the amount s = 4000 1 + 1 4 (0.0575) 3(4) that is accrued when interest is compounded quarterly. (round your answer to the nearest cent.) s = $

The total value of your portfolio is $10,000: $3,000 of it is invested in stock a and the remainder invested in stock b. stock a has a beta of 0.8; stock b has a beta of 1.2. the risk premium on the market portfolio is 8%; the risk-free rate is 2%. additional information on stocks a and b is provided below. return in each state state probability of state stock a stock b excellent 15% 15% 5% normal 50% 9% 7% poor 35% -15% 10% what are each stock’s expected return and the standard deviation? what are the expected return and the standard deviation of your portfolio? what is the beta of your portfolio? using capm, what is the expected return on the portfolio? given your answer above, would you buy, sell, or hold the portfolio?