Rafael has decided to retire once he has $1,000,000 in his retirement account. At the end of each year, he will contribute $7,000 to the account, which is expected to provide an annual return of 6.2%. How many years will it take until he can retire

Abusiness cycle reflects in economic activity, particularly real gdp. the stages of a business cycle

Cosmetic profits. sally is the executive vice president of big name cosmetics company. through important and material, nonpublic information, she learns that the company is soon going to purchase a smaller chain of stores. it is expected that stock in big name cosmetics will rise dramatically at that point. sally immediately buys a number of shares of her company's stock. she also tells her friend alice about the expected purchase of stores. alice wanted to purchase stock in the company but lacked the funds with which to do so. although she did not have the funds in bank a, alice decided to draw a check on bank a and deposit the check in bank b and then proceed to write a check on bank b to cover the purchase of the stock. she hoped that she would have sufficient funds to deposit before the check was presented for payment. of which of the following offenses, if any, is alice guilty of by buying stock?

Suppose that the firm cherryblossom has an orchard they are willing to sell today. the net annual returns to the orchard are expected to be $50,000 per year for the next 20 years. at the end of 20 years, it is expected the land will sell for $30,000. calculate the market value of the orchard if the market rate of return on comparable investments is 16%.