Takashi plans to save $25,000 per year until he retires. His first savings contribution to his retirement account is expected in 1 year from today. Takashi plans to retire in 6 years from today, immediately after making his last $25,000 contribution to his retirement account. He then plans to be retired for 6 years. Takashi expects to earn 7.0 percent per year in his retirement account, both before and during his retirement. If Takashi receives equal annual payments from his retirement account during his retirement with the first of these annual retirement payments received in 1 year after he retires and the last of these annual retirement payments received in 6 years after he retires, then how much can Takashi expect each of his annual retirement payments to be?

Employees at a library check out books to patrons. books have an isbn and a name. the library sometimes has multiple copies of the same book. books have one or more authors. a patron is an individual who has an active (non-expired) library card. for each library card, we store the person's first and last names and their address. for each employee, we store their employee id, current salary, first and last name and their address. we also store the employee id of their current manager. each time we check out a book to a patron we need to store the date of the transaction, the employee who checked out the book to the patron, and the library card of the patron. some employees have library cards. if an employee patron turns in a book late, the fine that they pay is a percentage of their salary. some employees are authors who have library cards—they are allowed to check out as many books as they like.

On analyzing her company’s goods transport route, simone found that they could reduce transport costs by a quarter if they merged different transport routes. what role (job) does simone play at her company? simone is at her company.

Quick computing currently sells 12 million computer chips each year at a price of $19 per chip. it is about to introduce a new chip, and it forecasts annual sales of 22 million of these improved chips at a price of $24 each. however, demand for the old chip will decrease, and sales of the old chip are expected to fall to 6 million per year. the old chips cost $10 each to manufacture, and the new ones will cost $14 each. what is the proper cash flow to use to evaluate the present value of the introduction of the new chip? (enter your answer in millions.)