A regular, six-sided die is rolled once. Round your answers to four decimal places. a. What is the probability that a number less than is obtained? a number less than is obtained b. What is the probability that a number to is obtained? a number to is obtained

Suppose that: 1. malaysia requires 1 hour of labor to produce 1 pound of rice and 2 hours of labor to produce 1 pencil; 2. indonesia requires 2 hours of labor to produce 1 pound of rice and 4 hours of labor to produce 1 pencil; 3. each country has 10,000 hours of labor to allocate between the production of rice and pencils; and 4. in autarky, malaysia consumes 5,000 pounds of rice and 2,500 pencils. which country has an absolute advantage in rice production? in pencil production? which country has a comparative advantage in rice production? in pencil production? will trade between the two countries be mutually beneficial?

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?

During january 2018, the following transactions occur: january 1 purchase equipment for $20,600. the company estimates a residual value of $2,600 and a five-year service life. january 4 pay cash on accounts payable, $10,600. january 8 purchase additional inventory on account, $93,900. january 15 receive cash on accounts receivable, $23,100 january 19 pay cash for salaries, $30,900. january 28 pay cash for january utilities, $17,600. january 30 firework sales for january total $231,000. all of these sales are on account. the cost of the units sold is $120,500. the following information is available on january 31, 2018. depreciation on the equipment for the month of january is calculated using the straight-line method. the company estimates future uncollectible accounts. at the end of january, considering the total ending balance of the accounts receivable account as shown on the general ledger tab, $4,100 is now past due (older than 90 days), while the remainder of the balance is current (less than 90 days old). the company estimates that 50% of the past due balance will be uncollectible and only 3% of the current balance will become uncollectible. record the estimated bad debt expense. accrued interest revenue on notes receivable for january. unpaid salaries at the end of january are $33,700. accrued income taxes at the end of january are $10,100