Congratulations, it's your 21st birthday, AND you just hit Powerball. You've decided to set a sum of money to enable you to retire at age 50, when you'll withdraw your first $500,000 check. You'll continue to withdraw money each year until age 85, when you'll croak. To account for inflation, you want each withdrawal to be 3% higher han he lost. You want to leave $10 million to your heirs 1 year after you shed this mortal coil. If you can earn 4% on investment, how much would you need to deposit today to meet your objectives

Which of the following statements about brand names is true? brand names give the seller an incentive to provide consistently high-quality products and services in order to protect the reputation of the brand. brand names are always economically wasteful since they dupe consumers into buying more expensive goods and services that are no different from generic versions. it is always rational to prefer brand names over generic substitutes. read the following example and determine whether it illustrates a common critique or defense of advertising. musashi sees a commercial for a brand x clothing company that depicts the wearers of the clothes out having a good time with friends. although he doesn't particularly need new clothes, the commercial prompts him to buy a brand x t-shirt.

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

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