You can buy a car that is advertised for $24,600 on the following terms: (a) pay $24,600 and receive a $4,600 rebate from the manufacturer; (b) pay $410 a month for 5 years for total payments of $24,600, implying zero percent financing.

a. Calculate the present value of the payments for option (a) if the interest rate is 1.25% per month.

b. Calculate the present value of the payments for option (b) if the interest rate is 1.25% per month. (Do not round intermediate calculations. Round your answer to 2 decimal places.)

c. Which is the better deal? Option a or Option b

For each of the scenarios described below identify 2 control procedures that could have prevented the problem and explain why each of the controls would have helped.

a) you manage a sales firm, and you give laptops to all salespeople. salespeople can input orders and submit them electronically while on the road. you have had a few problems with this system. In one instance an order for 5 pcs was input b the salesperson as 500 pcs. in another case, the salesperson failed to input a delivery address.

b) a computer programmer from the payroll department created a fake employee number and entered this employee in the payroll database. she then prepared paychecks for this fake employee using the payroll systems and sent them to her own po box address.

c) two brothers have lived in Texas all of their lives. joe worked for a local retailer in the account payable department, and John owned the local hardware store. the brothers created several dummy companies that sold fictitious merchandise to the retailer. joe had the retailer pay for this merchandise, and then he wrote off the missing goods as damaged inventory.

From a standard 52 card deck, how many 6 card hands contain:

(a) three (different) pairs

(b) a five card straight and a pair (a straight can only begin with A, 2, 3, ..., 10)

(c) only a high card (ie. no pair, no five card straight, no five card flush)

Please answer all parts of the question with explanation

By what factor must your blood pressure increase to compensate for a 4 % narrowing in your blood vessels? (The pressure difference across your blood vessels is essentially equal to your blood pressure.) I am learning the bernoullis equation and also the poiseuille law. But can't figure out how to do this with only knowing a percent. I need each step please.

Design and implement a functional traffic light using a push button to act as a cross walk. Components one RGB LED Lights, two 330 ohm resistor, POT, Temperature Sensor, Arduino, and a bread board Description: Use a POT and a Temperature Sensor to enable the Red and Green Legs of and RGB LED. RGB LEDs have three legs the (R)ed, (G)reen and (B)leu legs. c programming language

Describe the market for telephony services prior to the enactment of the 1996 Telecommunication Act in Germany. Why is it unlikely that DT would face new competition in the market for retail fixed-line telecommunication services prior to 1996?

You have been offered a 6% 5 year Medical Lake water bond priced at $1150 and a 8% 7 year Cheney sewer bond priced at $1200.

a. Which bond would you purchase if the current interest rate is 3%?

b. Which bond has the greatest interest rate risk when the rate increases to 6%?

An investor company owns 30% of the common stock of an investee company. The investor has significant influence over the investee, and acquired its equity interest in the investee on January 1, 2018 for $525,000. On the date of acquisition, the investee’s stockholders equity was $1,500,000, and the fair values of the investee’s individual net assets were equal to their reported book values. During the year ended December 31, 2018, the investee reported net income of $50,000 and dividends of $10,000. During the year ended December 31, 2019, the investee reported net income of $60,000 and dividends of $15,000. The investor routinely sells inventory to the investee at a 25% profit margin. At December 31, 2018 and 2019, the investee held inventories purchased from the investor for $30,000 and $40,000, respectively. (At the end of each period, all of these inventories are sold by the investee to unaffiliated companies in the next period.)

What is the balance in the Equity Investment account on December 31, 2019?

Select one:

a. $ 525,000

b. $ 547,500

c. $ 550,500

d. $ 570,000

The very long cylindrical solenoid of (Figure 1) has a radius of 0.50 m and 1000 windings per meter along its length. A circular conducting loop of radius 1.0 m encircles the solenoid, with the long central axis of the solenoid passing through the center of the loop, and with the area vector of the loop parallel to the solenoid axis. The solenoid initially carries a steady current I, but the current is then reduced to zero during a 0.100-s time interval.

Part A

If the average emf induced in the loop during that interval is 0.80 V , what was the initial current magnitude?

Problem 2. Consider a duopoly with identical firms with no fixed cost and marginal cost of c. Let the
inverse demand curve for the industry be p(Y ) = A − bY , where Y is the total industry output. Let y1 and
y2 be the output of each firm. Assume that the firms in the industry each choose quantity, and then let the
market determine the price they will receive.
(a) Compute the total market output, the price, the quantity for each firm, and the profit for each

firm, under Cournot competition. Make sure to start at the beginning, setting up each firm’s profit-
maximization problem and proceeding from there.

(b) Compute the total market output, the price, the quantity for each firm, and the profit for each firm, if
the firms collude and choose their quantities together to maximize total profits. Assume that they split
the total output evenly. Again, make sure to set up the joint profit-maximization problem and proceed
from there. [Hint: you will find that you cannot solve the system of two first-order conditions. Indeed,
you will find that the two first-order conditions are identical, leaving you with only one equation with
two unknowns. To solve this problem, simply take advantage of the assumption that they split the
market evenly, y1 = y2. Now you have two equations with two unknowns.]
(c) Now suppose that one firm sticks to the collusive quanity, while the other one cheats. Compute the
profit maximizing output of the cheater, the market price, and the profit for each firm.

Econ 100A, Fall 2019
Prof: Dan Acland

Problem Set #12
Page 2

(d) Using the results you have computed above, argue that the collusive agreement is not a Nash equi-
librium. In addition, argue that if firms have common knowledge of rationality (each knows that the

other is rational, and knows that the other knows they are rational, etc) the only Nash equilibrium is
for both firms to choose the Cournot equilibrium quantity.
(e) Again, using the results you have computed above, argue that this situation can be thought of as a
prisoner’s dilemma. (Recall that we characterized a prisoner’s dilemma as a situation in which agents
are unable to cooperate, even when to do so would maximize their individual payoffs, because the
private cost of cooperation is greater than the private benefit of cooperation.)

Question: State if an algorithm (satisfying the formal definition of an algorithm) which is guaranteed to find a solution exists or not for each of the following problems by filling the blanks with “Yes” (an algorithm guaranteed to find a solution exists) or “No” (an algorithm guaranteed to find a solution does not exist).

1. Finding the average height of a person in a group, given the height of each person in the group

2. Finding all factors of a finite integer

3. Finding if a triangle is scalene or not, when the coordinates of its vertices are given

4. Finding a path from the given start location to the given goal location in a finite maze (the number of junctions is finite and the length of path connecting any two junctions is also finite) that changes unpredictably at any time

An electron is constrained to the central perpendicular axis of a ring of charge of radius 2.3 m and charge 0.020 mC. Suppose the electron is released from rest a distance 0.056 m from the ring center. It then oscillates through the ring center. Calculate its period. (The electron is always much closer to the ring center than a radius.)