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

Which of the following is not a personality trait? sincerity word processing punctuality laziness

During the first month of operations, martinson services, inc., completed the following transactions: jan 2 martinson services received $65,000 cash and issued common stock to the stockholders. 3 purchased supplies, $1,000, and equipment, $12,000, on account. 4 performed services for a customer and received cash, $5,500. 7 paid cash to acquire land, $39,000. 11 performed services for a customer and billed the customer, $4,100. martinson expects to collect within one month 16 paid for the equipment purchased january 3 on account. 17 paid for newspaper advertising, $600. 18 received partial payment from customer on account, $2,000. 22 paid the water and electricity bills, $430. 29 received $2,600 cash for servicing the heating unit of a customer. 31 paid employee salary, $2,900. 31 declared and paid dividends of $1,800. requirements 1. record each transaction in the journal. key each transaction by date. explanations are not required. 2. post the transactions to the t-accounts, using transaction dates as posting references. label the ending balance of each account bal, as shown in the chapter. 3. prepare the trial balance of martinson services, inc., at january 31 of the current year. 4. mark martinson, the manager, asks you how much in total resources the business has to work with, how much it owes, and whether january was profitable (and by how much)?

The wall street journal reported that walmart stores inc. is planning to lay off 2,300 employees at its sam's club warehouse unit. approximately half of the layoffs will be hourly employees (the wall street journal, january 25-26, 2014). suppose the following data represent the percentage of hourly employees laid off for 15 sam's club stores. 55 56 44 43 44 56 60 62 57 45 36 38 50 69 65 (a) compute the mean and median percentage of hourly employees being laid off at these stores. (b) compute the first and third quartiles. (c) compute the range and interquartile range. (d) compute the variance and standard deviation. (e) do the data contain any outliers? (f) based on the sample data, does it appear that walmart is meeting its goal for reducing the number of hourly employees?