In an Argand diagram, the point P represents the complex number z, where z = x + iy. Given that z + 2 = λi(z + 8), where λ is a real parameter, find the Cartesian equation of the locus of P as λ varies. If also z = μ(4 + 3i), where λ is real, prove that there is only one possible position for P

Which statement is true about the elements of the interface of a presentation program? a. the status bar appears at the top of the page and displays options to style your slides. b. the tool bar displays the thumbnails of your presentation slides in the order they will appear in the presentation. c. rulers indicate the margins, tabs, and indents in a presentation slide. d. the document area provides a list of commands to create, format, and edit presentations.

Complete the sentences. upper a decrease in current income taxes the supply of loanable funds today because it a. decreases; increases disposable income, which decreases saving b. has no effect on; doesn't change expected future disposable income c. decreases; decreases expected future disposable income d. increases; increases disposable income, which encourages greater saving upper a decrease in expected future income a. increases the supply of loanable funds today because households with smaller expected future income will save more today b. has no effect on the supply of loanable funds c. decreases the supply of loanable funds because it decreases wealth d. decreases the supply of loanable funds today because households with smaller expected future income will save less today

1. all other things equal, according to the law of demand, when the price of a good falls, the demand for the good falls the demand for the good rises the quantity demanded of the good falls the quantity demanded of the good rises 2. when a market is in equilibrium, the quantity of the good that buyers are willing and able to buy exactly equals the quantity that sellers are willing and able to sell cannot be determined is less than the quantity that sellers are willing and able to sell is greater than the quantity that sellers are willing and able to sell 3. which of the following factors does not influence the demand for a good or service? consumer (buyer) income the price of related goods the number of sellers buyer expectations 4. when the number of sellers in a market increases, demand rises supply rises the price rises, all else equal the number of buyers falls