Mack purchased a variable annuity with $50,000 premium deposits, which he splits equally between 2 subaccounts, at the time of purchase, the value of units in subaccount 1 was $25 and the value of units in subaccount 2 was $10.00, 6 months later the value of units in subaccount 1 increased to $30 and the value of units in subaccount 2 decreased to $8, What was the value of Mack's contract at that point?

Why do police officers get paid less than professional baseball players?

David consumes two things: gasoline (g) and bread (b). david's utility function is u(g, b) = 10g^0.25 b^0.75. use the lagrange technique to solve for david's optimal choices of gasoline and bread as a function of the price of gasoline, p_g, the price of bread, p_b, and his income m. with recent decrease in the price of gasoline (maybe due to external shock such as shale gas production) does david increase his consumption of gasoline? for david, how does partial differential g/partial differential p_g depend on his income m? that is, how does david's change in gasoline consumption due to an increase in the price of gasoline depend on his income level? to answer these questions, find the cross-partial derivative, |partial differential^2 g/partial differential m partial differential p_g.

In march 2012, the state of california started requiring that all packaging for food and drink with the additive 4-methylimidazole (4-mi) be clearly labeled with a cancer warning. because of this, both pepsi and coke changed their formula to eliminate 4-mi as an ingredient. if pepsi and coke did not change their formula, holding all else constant, what would have happened to the demand for these goods, assuming pepsi and coke were in a competitive market? a. the demand curve for both pepsi and coke would have shifted to the right, causing the price of both products to decrease and the profits for the companies to fall. b. the demand curve for pepsi and coke would have remained unchanged, but the price of both products would have decreased and the profits for the companies would have fallen. c. the demand curve for pepsi and coke would have decreased, but the prices and profits would not have changed. d. the demand curve for only one of them would change because pepsi and coke are substitutes. e. the demand curve for pepsi and coke would have shifted to the left, causing the price of both products to decrease and the profits for both companies to fall.