Phil Dunphy, a real estate agent, is considering whether he should list an unusual $646,504 house for sale.  If he lists it, he will need to spend $5,785 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 $21,946.  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 49%.  What is the expected profit on this listing?

Sarah's comprehensive major medical health insurance plan at work has a deductible of $750. The policy pays 85 percent of any amount above the deductible. While on a hiking trip, she contracted a rare bacterial disease. Her medical costs for treatment, including medicines, tests, and a six-day hospital stay, totaled $8,893. A friend told her that she would have paid less if she had a policy with a stop-loss feature that capped her out-of-pocket expenses at $3,000. The policy with the stop-loss feature has the same deductible and coinsurance requirement as Sarah's current policy. Determine which policy would have cost Sarah less and by how much. (Round your intermediate calculations and final answer to 2 decimal places.) Current policy Stop-loss feature No difference in Sarah's cost for this claim. Difference amount

Suppose a company offers you a job which will last only 100 days. The job pays $110 the first day and increases by $2.50 a day. a. What will you earn on the 100h day?

if you work for a non-profit and you want to (and its legal) to run your own lottery. Suppose  you need to collect at least $25,000.  Design a lottery to allow you to achieve your goal.  HOw many tickets would you sell?  How many prices ( and for how much ) would you have? How much would you charge per ticket?

Suppose that under your health insurance policy, hospital expenses are subject to a $750 deductible and $150 per day copay. You get sick and hospitalized for 4 days, and the bill (after your insurance discounts are applied) comes to $6250. How much of that hospital bill will you have to pay yourself.

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?

Ernie wrote 10 checks last month and these were the only transactions for his checking account. According to his check register, his balance is $1884.88, but the bank statement he just received says his balance is $2117.29. If nine of Ernie's 10 checks have cleared, what is the amount of the check that hasn'tyet cleared?