Complex numbers are often used when dealing with alternating current (AC) circuits. In the equation $V = IZ$, $V$ is voltage, $I$ is current, and $Z$ is a value known as impedance. If $V = 1-i$ and $Z=1+3i$, find $I$. Express your answer as a complex number in the form $a+bi$, where $a$ and $b$ are real numbers

Wallis company manufactures only one product and uses a standard cost system. the company uses a predetermined plantwide overhead rate that relies on direct labor-hours as the allocation base. all of the company's manufacturing overhead costs are fixed—it does not incur any variable manufacturing overhead costs. the predetermined overhead rate is based on a cost formula that estimated $2,886,000 of fixed manufacturing overhead for an estimated allocation base of 288,600 direct labor-hours. wallis does not maintain any beginning or ending work in process inventory.

Consider the labor market for computer programmers. during the late 1990s, the value of the marginal product of all computer programmers increased dramatically. holding all else equal, what effect did this process have on the labor market for computer programmers? the equilibrium wagea. increased, and the equilibrium quantity of labor decreased. b. decreased, and the equilibrium quantity of labor increased. c. increased, and the equilibrium quantity of labor increased. d. decreased, and the equilibrium quantity of labor decreased.

Total marketing effort is a term used to describe the critical decision factors that affect demand: price, advertising, distribution, and product quality. define the variable x to represent total marketing effort. a typical model that is used to predict demand as a function of total marketing effort is based on the power function: d = axb suppose that a is a positive number. different model forms result from varying the constant b. sketch the graphs of this model for b = 0, b = 1, 0< b< 1, b< 0, and b> 1. (we encourage you to use excel to do this.) what does each model tell you about the relationship between demand and marketing effort? what assumptions are implied? are they reasonable? how would you go about selecting the appropriate model?