John is watching an old game show rerun on television called let’s make a deal in which the contestant chooses a prize behind one of two curtains. behind one of the curtains is a gag prize worth $60, and behind the other is a round-the-world trip worth $4,900. the game show has placed a subliminal message on the curtain containing the gag prize, which makes the probability of choosing the gag prize equal to 75 percent. what is the expected value of the selection, and what is the standard deviation of that selection?

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:

1. what is the amount of interest earned after two years on a $100 deposit paying 4 percent simple interest annually? $8.00 $4.08 $8.16 $4.00 2. what is the amount of compound interest earned after three years on a $100 deposit paying 8 percent interest annually? $24.00 $8.00 $16.64 $25.97 3. a business just took out a loan for $100,000 at 10% interest. if the business pays the loan off in three months, how much did the business pay in interest? $2,500.00 $10.00 $250.00 $10,000.00 4. what is the annual percentage yield (apy) for a deposit paying 5 percent interest with monthly compounding? 5.00% 5.12% 79.59% 0.42%

Describe what fixed costs and marginal costs mean to a company.