A woman is planning to retire in 30 years. She wishes to deposit a regular amount every three months until she retires, so that beginning one year after retirement she will receive annual payments of $40,000 for the next 20 years. How much must be deposited every three months if the interest rate is 8%, compounded quarterly

Captain john's yachts, inc., located in fort lauderdale, florida, rents three types of ocean-going boats: sailboats, cabin cruisers, and captain john's favorite, the luxury yachts. captain john advertises his boats with his famous "you rent"we pilot" slogan, which means that the company supplies the captain and crew for each rented boat. each rented boat has one captain, of course, but the crew sizes (deck hands, galley hands, etc.) differ. the crew requirements, in addition to a captain, are one for sailboats, two for cabin cruisers, and three for yachts. ten employees are captains, and an additional 18 employees fill the various crew positions. currently, captain john has rental requests for all his boats: four sailboats, eight cabin cruisers, and three luxury yachts. if captain john's daily profit contribution is $50 for sailboats, $70 for cruisers, and $100 for luxury yachts, how many boats of each type should he rent?

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.

Given the following information about the closed economy of brittania, what is the level of investment spending and private savings, and what is the budget balance? assume there are no government transfers. gdp=$1180.00 million =$510.00 million =$380.00 million =$280.00 million