When considering the growth of the human population, how is the annual growth rate determined?

Employees at a library check out books to patrons. books have an isbn and a name. the library sometimes has multiple copies of the same book. books have one or more authors. a patron is an individual who has an active (non-expired) library card. for each library card, we store the person's first and last names and their address. for each employee, we store their employee id, current salary, first and last name and their address. we also store the employee id of their current manager. each time we check out a book to a patron we need to store the date of the transaction, the employee who checked out the book to the patron, and the library card of the patron. some employees have library cards. if an employee patron turns in a book late, the fine that they pay is a percentage of their salary. some employees are authors who have library cards—they are allowed to check out as many books as they like.

There are three factors that can affect the shape of the treasury yield curve (r* t , ip t , and mrp t ) and five factors that can affect the shape of the corporate yield curve (r* t , ip t , mrp t , drp t , and lp t ). the yield curve reflects the aggregation of the impacts from these factors. suppose the real risk-free rate and inflation rate are expected to remain at their current levels throughout the foreseeable future. consider all factors that affect the yield curve. then identify which of the following shapes that the us treasury yield curve can take. check all that apply. a. downward-sloping yield curveb. upward-sloping yield curvec. inverted yield curve

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.