When is allocative efficiency of a product achieved?

What are the period and vertical shift of the cosecant function below? period: ; vertical shift: 1 unit up period: ; vertical shift: 2 units up period: ; vertical shift: 1 unit up period: ; vertical shift: 2 units up?

Prepare beneish corporation's income statement and statement of stockholders' equity for year-end december 31, and its balance sheet as of december 31. there were no stock issuances or repurchases during the year. (do not use negative signs with your answers unless otherwise noted.)

On april 1, santa fe, inc. paid griffith publishing company $2,448 for 36-month subscriptions to several different magazines. santa fe debited the prepayment to a prepaid subscriptions account, and the subscriptions started immediately. what amount should appear in the prepaid subscription account for santa fe, inc. after adjustments on december 31 of the first year assuming the company is using a calendar-year reporting period and no previous adjustment has been made?