You are given 12 to 1 odds against drawing two hearts when two cards are selected at random from a standard deck of 52 cards (with replacement of the first card before the second card isdrawn). this means that you win $12 if you succeed and you lose $1 if you fail. find the expected value (to you) of the game.

James albemarle created a trust fund at the beginning of 2016. the income from this fund will go to his son edward. when edward reaches the age of 25, the principal of the fund will be conveyed to united charities of cleveland. mr. albemarle specified that 75 percent of trustee fees are to be paid from principal. terry jones, cpa, is the trustee. james albemarle transferred cash of $500,000, stocks worth $400,000, and rental property valued at $250,000 to the trustee of this fund. immediately invested cash of $360,000 in bonds issued by the u.s. government. commissions of $7,900 are paid on this transaction. incurred permanent repairs of $9,000 so that the property can be rented. payment is made immediately. received dividends of $8,000. of this amount, $3,000 had been declared prior to the creation of the trust fund. paid insurance expense of $4,000 on the rental property. received rental income of $10,000. paid $8,000 from the trust for trustee services rendered. conveyed cash of $7,000 to edward albemarle.

Turrubiates corporation makes a product that uses a material with the following standards standard quantity 8.0 liters per unit standard price $2.50 per liter standard cost $20.00 per unit the company budgeted for production of 3,800 units in april, but actual production was 3,900 units. the company used 32,000 liters of direct material to produce this output. the company purchased 20,100 liters of the direct material at $2.6 per liter. the direct materials purchases variance is computed when the materials are purchased. the materials quantity variance for april is:

Robert just found out that he is going to be unemployed within a month because his factory has invested in a robotic factory line and his skills are no longer needed. this means that robert is . the gdp within country d has begun to decline. as a result of decreased production, thomas lost his job designing cars. this means that thomas is . raquel has just been offered a job, but she has decided not to take it because she feels her skills merit better pay and a better position. this means that raquel is .