The County Theater is an independent entertainment theater that is in the middle of a new renovation to expand their current layout of two screens. With their current renovation plan, they hope to increase their screens to three. As of now, they are still in need of $14,000 to finish the construction project. Through market research completed on their members as well as the greater community, they estimated that each donator would give around $50. As the donations have been coming in over the course of the last 18 months, they believe that the research estimate may have been too high. They created a sample of members consisting of 40 individuals. On average, they are willing to give $40 and the standard deviation for the sample is $1.35. With an alpha of .05, construct an appropriate hypothesis test. If you find that the null hypothesis is not true, what real world circumstance may have affected the research estimate?

If a company issues common stock for $48800 and uses $36600 of the cash to purchase a truck, O assets will be increased by $12200. O equity will be reduced by $48800. O assets will be unchanged. O assets will be increased by $48800.

Phil Dunphy, a real estate agent, is considering whether he should list an unusual $340,864 house for sale.  If he lists it, he will need to spend $3,060 in advertising, staging, and fresh cookies.  The current owner has given Phil 6 months to sell the house.  If he sells it, he will receive a commission of $20,023.  If he is unable to sell the house, he will lose the listing and his expenses.  Phil estimates the probability of selling this house in 6 months to be 71%.  What is the expected profit on this listing?

Dave and Ellen are newly married and living in their first house. The yearly premium on their homeowner’s insurance policy is $600 for the coverage they need. Their insurance company offers a discount of 8 percent if they install dead-bolt locks on all exterior doors. The couple can also receive a discount of 5 percent if they install smoke detectors on each floor. They have contacted a locksmith, who will provide and install dead-bolt locks on the two exterior doors for $105 each. At the local hardware store, smoke detectors cost $28 each, and the new house has two floors. Dave and Ellen can install the smoke detectors themselves. a. Assuming their insurance rates remain the same, how many years will it take Dave and Ellen to earn back in discounts the cost of the dead-bolts? b. How many years will it take Dave and Ellen to earn back in discounts the cost of the smoke detectors?