A circular playground has a circumference of 176 feet. What is the distance from the edge of the playground to the middle of the playground?

List three major educational changes over the past 100 years that have positively influenced students. explain why these changes were influential.

Suppose a firm faces a fixed price of output, 푝푝= 1200. the firm hires workers from a union at a daily wage, 푤푤, to produce output according to the production function 푞푞= 2퐸퐸12. there are 225 workers in the union. any union worker who does not work for this firm is guaranteed to find nonunion employment at a wage of $96 per day. a.what is the firm’s labor demand function? b.if the firm is allowed to choose 푤푤, but then the union decides how many workers to provide (up to 225) at that wage, what wage will the firm set? how many workers will the union provide? what is the firm’s output and profit? what is the total income of the 225 union workers? c.now suppose that the union sets the wage, but the firm decides how many workers to hire at that wage (up to 225). what wage will the union set to maximize the total income of all 225 workers? how many workers will the firm hire? what is the firm’s output and profit? what is the total income of the 225 union workers? [hint: to maximize total income of union, take the first order condition with respect to w and set equal to 0.]

Microsoft's stock price peaked at 6118% of its ipo price more than 13 years after the ipo suppose that $10,000 invested in microsoft at its ipo price had been worth $600,000 (6000% of the ipo price) after exactly 13 years. what interest rate, compounded annually, does this represent? (round your answer to two decimal places.)