If 2/3 two-thirds of all units sold are sandals and 1/3 one-third are shoes, what is the weighted-average unit contribution margin

In a macroeconomic context, what are implicit liabilities? money owed to people possessing government issued bonds. the amount of money that firms collectively owe to shareholders. money that the government has promised to pay in the future. payments that the federal government undertakes only during periods of recession. which of the choices is a significant implicit liability in the united states? military spending education spending national science foundation spending social security

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.

Anew 2-lane road is needed in a part of town that is growing. at some point the road will need 4 lanes to handle the anticipated traffic. if the city's optimistic estimate of growth is used, the expansion will be needed in 4 years and has a probability of happening of 40%. for the most likely and pessimistic estimates, the expansion will be needed in 8 and 15 years respectively. the probability of the pessimistic estimate happening is 20%. the expansion will cost $ 4.2 million and the interest rate is 8%. what is the expected pw the expansion will cost?