You own a contract that promises an annuity cash flow of $350 year-end cash flows for each of the next 3 years. (note: the first cash flow is exactly 1 year from today). at an interest rate of 5%, what is the present value of this contract?

Ryan terlecki organized a new internet company, capuniverse, inc. the company specializes in baseball-type caps with logos printed on them. ryan, who is never without a cap, believes that his target market is college and high school students. you have been hired to record the transactions occurring in the first two weeks of operations. issued 2,900 shares of $0.01 par value common stock to investors for cash at $29 per share. borrowed $68,000 from the bank to provide additional funding to begin operations; the note is due in two years. paid $1,000 for the current month's rent of a warehouse and another $1,000 for next month's rent. paid $1,440 for a one-year fire insurance policy on the warehouse (recorded as a prepaid expense). purchased furniture and fixtures for the warehouse for $16,000, paying $3,200 cash and the rest on account. the amount is due within 30 days. purchased for $2,800 cash the university of pennsylvania, notre dame, the university of texas at austin, and michigan state university baseball caps as inventory to sell online. placed advertisements on google for a total of $340 cash. sold caps totaling $1,900, half of which was charged on account. the cost of the caps sold was $1,100. (hint: make two entries.) made full payment for the furniture and fixtures purchased on account in (e). received $280 from a customer on account.

Universal containers(us) has an integration with its accounting system that creates tens of thousands of orders inside salesforce in a nightly batch. us wants to add automation that can attempt to match leads and contacts to these orders using the email address field on the insert. us is concerned about the performance of the automation with a large data volume. which tool should uc use to automate this process?

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.