It is known that for each positive integer k, the amount of interest earned by an investor in the k-th period is 2k. find the amount of interest earned by the investor from time 0 to time n, n a fixed positive integer.

The market for corn in country a is highly competitive. at the current market price of $5/bushel there is a shortage of 100,000 bushels of corn in this country. media reports claim that the price of corn will rise drastically in the near future. according to these reports, the neighboring country b had witnessed a similar situation recently. at the same price, the shortage in country b was also 100,000 bushels and eventually the equilibrium price in b went up to $10/bushel. both countries are known to have equal number of corn producers and the market supply of corn is identical at all prices. this, combined with the fact that consumers in the two countries also have similar tastes and preferences, led the media to conclude that the price of corn in country a would soon be as high as $10/bushel. the new equilibrium price turns out to be below $10/bushel, what inferences can be drawn?

With signals from no-claim bonuses and deductibles, a. the marginal cost curve for careful drivers lies to the left of the marginal cost curve for aggressive drivers b. auto insurance companies insure more aggressive drivers than careful drivers because aggressive drivers have a greater need for the insurance c. the market for car insurance has a separating equilibrium, and the market is efficient d. most drivers pay higher premiums than if the market had no signals

Which of the following statements is correct? a major disadvantage of a partnership relative to a corporation is the fact that federal income taxes must be paid by the partners rather than by the firm itself. in a typical partnership, liability for other partners’ misdeeds is limited to the amount of a particular partner’s investment in the business.true in a limited partnership, the limited partners have voting control, while the general partner has operating control over the business, and the limited partners are individually responsible, on a pro rata basis, for the firm’s debts in the event of bankruptcy. partnerships have more difficulty attracting large amounts of capital than corporations because of such factors as unlimited liability, the need to reorganize when a partner dies, and the illiquidity of partnership interests.