A subsidy that is used to internalize a positive externality will ideally cause the demand curve to shift to the curve and output will to the socially optimal output.

Alandowner and his neighbor purchased adjoining undeveloped lots. after both built homes on their respective lots, the landowner suggested to the neighbor that a common driveway be built where the two lots joined. the neighbor agreed. the landowner and the neighbor split the cost of constructing the driveway and entered into a written agreement to equally share the costs of its upkeep and maintenance. the agreement was recorded in the county recorder's office. two years later, the neighbor built a new driveway located entirely on his lot. the common driveway, which the landowner continued to use but which the neighbor no longer used, began to deteriorate. the landowner asked the neighbor for money to maintain the common driveway, but the neighbor refused to contribute. three years later, the neighbor conveyed his lot to a friend. the friend entered into possession and used only the driveway built by the neighbor. by this time, the common driveway had deteriorated badly and contained numerous potholes. the landowner asked the friend to pay half of what it would take to repair the common driveway. the friend refused. the landowner repaired the driveway and sued the friend for 50% of the cost of repairs. will the landowner prevail?

Sally is buying a home and the closing date is set for april 20th. the annual property taxes are $1,234.00 and have not been paid yet. using actual days, how much will the buyer be credited and the seller be debited

Describe three scenarios in which you might utilize mathematics to investigate a crime scene, accident scene, or to make decisions involving police practice. be sure to explain how math is used in police as they work through each scenario.