A commuter train passes a passenger platform at a constant speed of 39.2 m/s. The train horn is sounded at its characteristic frequency of 348 Hz. Required:
a. What overall change in frequency is detected by a person on the platform as the train moves from approaching to receding?
b. What wavelength is detected by a person on the platform as the train approaches?

Captain john's yachts, inc., located in fort lauderdale, florida, rents three types of ocean-going boats: sailboats, cabin cruisers, and captain john's favorite, the luxury yachts. captain john advertises his boats with his famous "you rent"we pilot" slogan, which means that the company supplies the captain and crew for each rented boat. each rented boat has one captain, of course, but the crew sizes (deck hands, galley hands, etc.) differ. the crew requirements, in addition to a captain, are one for sailboats, two for cabin cruisers, and three for yachts. ten employees are captains, and an additional 18 employees fill the various crew positions. currently, captain john has rental requests for all his boats: four sailboats, eight cabin cruisers, and three luxury yachts. if captain john's daily profit contribution is $50 for sailboats, $70 for cruisers, and $100 for luxury yachts, how many boats of each type should he rent?

Price and efficiency variances, journal entries. the schuyler corporation manufactures lamps. it has set up the following standards per finished unit for direct materials and direct manufacturing labor: direct materials: 10 lb. at $4.50 per lb. $45.00 direct manufacturing labor: 0.5 hour at $30 per hour 15.00 the number of finished units budgeted for january 2017 was 10,000; 9,850 units were actually produced. actual results in january 2017 were as follows: direct materials: 98,055 lb. used direct manufacturing labor: 4,900 hours $154,350 assume that there was no beginning inventory of either direct materials or finished units. during the month, materials purchased amounted to 100,000 lb., at a total cost of $465,000. input price variances are isolated upon purchase. input-efficiency variances are isolated at the time of usage. 1. compute the january 2017 price and efficiency variances of direct materials and direct manufacturing labor. 2. prepare journal entries to record the variances in requirement 1. 3. comment on the january 2017 price and efficiency variances of schuyler corporation. 4. why might schuyler calculate direct materials price variances and direct materials efficiency variances with reference to different points in time

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?