The Candy Factory sells candy by the pound, charging $1.60 per pound for quantities up to and including 20 pounds. Above 20 pounds, the Candy Factory charges $1.30 per pound for the entire quantity, plus a quantity surcharge k. If x represents the number of pounds, the price function is p(x) = {1.60x for x lessthanorequalto 20, 1.30x + k for x > 20. 1. Find k such that the price function p is continuous at x =20. 2. Explain why it is preferable to have continuity at x =20. The price function p is continuous at x = 20 when k = (Type an integer or a decimal.)

Match the tasks with the professionals who would complete them. civil engineer, logging equipment manager and energy auditor

You are the manager in charge of global operations at bankglobal – a large commercial bank that operates in a number of countries around the world. you must decide whether or not to launch a new advertising campaign in the u.s. market. your accounting department has provided the accompanying statement, which summarizes the financial impact of the advertising campaign on u.s. operations. in addition, you recently received a call from a colleague in charge of foreign operations, and she indicated that her unit would lose $8 million if the u.s. advertising campaign were launched. your goal is to maximize bankglobal’s value. should you launch the new campaign? explain. pre-advertising campaign post-advertising campaign total revenues $18,610,900 $31,980,200 variable cost tv airtime 5,750,350 8,610,400 ad development labor 1,960,580 3,102,450 total variable costs 7,710,930 11,712,850 direct fixed cost depreciation – computer equipment 1,500,000 1,500,000 total direct fixed cost 1,500,000 1,500,000 indirect fixed cost managerial salaries 8,458,100 8,458,100 office supplies 2,003,500 2,003,500 total indirect fixed cost $10,461,600 $10,461,600

1. descriptive statistics quickly describe large amounts of data can predict future stock returns with surprising accuracy statisticians understand non-numeric information, like colors refer mainly to patterns that can be found in data 2. a 15% return on a stock means that 15% of the original purchase price of the stock returns to the seller at the end of the year 15% of the people who purchased the stock will see a return the stock is worth 15% more at the end of the year than at the beginning the stock has lost 15% of its value since it was originally sold 3. a stock purchased on january 1 cost $4.35 per share. the same stock, sold on december 31 of the same year, brought in $4.75 per share. what was the approximate return on this stock? 0.09% 109% 1.09% 9% 4. a stock sells for $6.99 on december 31, providing the seller with a 6% annual return. what was the price of the stock at the beginning of the year? $6.59 $1.16 $7.42 $5.84