Learning Goal:

To understand the use of Hooke's law for a spring.

Hooke's law states that the restoring force F⃗  on a spring when it has been stretched or compressed is proportional to the displacement x⃗  of the spring from its equilibrium position. The equilibrium position is the position at which the spring is neither stretched nor compressed.

Recall that F⃗ ∝x⃗  means that F⃗  is equal to a constant times x⃗ . For a spring, the proportionality constant is called the spring constant and denoted by k. The spring constant is a property of the spring and must be measured experimentally. The larger the value of k, the stiffer the spring.

In equation form, Hooke's law can be written

F⃗ =−kx⃗ .

The minus sign indicates that the force is in the opposite direction to that of the spring's displacement from its equilibrium length and is "trying" to restore the spring to its equilibrium position. The magnitude of the force is given by F=kx, where x is the magnitude of the displacement.

After driving a portion of the route, the taptap is fully loaded with a total of 24 people including the driver, with an average mass of 66 kg per person. In addition, there are three 15-kg goats, five 3-kgchickens, and a total of 25 kg of bananas on their way to the market. Assume that the springs have somehow not yet compressed to their maximum amount. How much are the springs compressed? (Enter the compression numerically in meters using two significant figures.)

(a) The 2018 New Zealand Conceptual Framework states that “an asset is a present economic resource controlled by the entity as a result of past events.” Discuss this statement in relation to inventory items that are in transit between the buyer and seller.

(b) NZ IAS 2, paragraph 36 requires companies to make disclosures to present inventory fairly in their financial statements. List six disclosures that companies must include in the financial statements as additional disclosures.

Suppose an economy has three states: boom, normal, and recession. Assume that the probability of a boom state is 0.2, a normal state is 0.5, and a recession state is 0.3. And there are three stocks in this economy, called Alpha, Beta, and Gamma respectively. The return performance of these stocks has been summarized by the following table:

(Please show your intermediate processes, instead of just a final number for your answers. Only round your final answers to two decimal places.)

(a) What is the expected return of Stock Alpha?

(b) What is the variance of Stock Beta?

(c) What is the standard deviation of Stock Gamma?

(d) Suppose you build a portfolio by including these three stocks. The weight of Stock Alpha in your portfolio is 0.2, the weight of Stock Beta is 0.3, and the weight of Stock Gamma is 0.5. What are the expected return, variance, and standard deviation of your portfolio?

(e) Based on what you observe from the calculations and what you learned from the class, could you specify what are the characteristics of portfolios?

that's all I have. can you please check. i don't know any correlation

The official product store clerk at a university states that at least 40% of students have purchased one of the shirts with the university logo. However, the store owner believes that this figure is not true and that the design of the T-shirt should be changed to a more attractive one. To find out if the clerk is right, the owner asks 80 students if they had ever bought at least one of the university's T-shirts, 28 of them in them had. Assuming a significance level of 0.05, would we have enough evidence to claim that the clerk is wrong?

Type: proportion, 1 population

n = 80

p bar = 0.35

null hypothesis H_0: p = 0.4

alternative hypothesis H_1: p < 0.4

What is the p value?

The answer should be 0.213, I am not sure how they got this, I kept getting another answer. Please show any formulas and work used.

A bank states that it charges a 20% APR (or annual percentage rate) on credit card balances where the cardholder has been late making a payment. However, the bank compounds monthly. What EFF% is the bank charging?

Group of answer choices

22.45%

21.94%

21.62%

23.85%

22.77%

4. The paradox of thrift states that an attempt of households to save more may result in them ending up saving less. Could this be the case in the IS-LM model? Answer by finding the multiplier for the effect of an autonomous increase in saving on the equilibrium level of saving, and explain the result.

Select the correct answer

The law of demand states that other things remaining the same, if the price of a good rises, the (quantity demanded of; demand for) that good decreases.

A good whose demand increases as income increases is called a (complement, normal) good.

Chocolate cake and cheesecake are considered (complement; substitute) goods.

The (quantity supplied; supply) of a good is the amount people are willing and able to sell during a specified period at a specified price.

The (law of demand; law of supply) states that other things remaining the same, if the price of a good rises, the quantity supplied rises.

A change in the price of a good changes (supply; the quantity supplied)

The price at which the quantity demanded equals the quantity supplied is the (equilibrium price, equilibrium quantity).

The law of (demand; market forces) says that when there is a surplus, the price falls; and when there is a shortage, the price rises.

According to Eye on the Global Economy textbook what was the reason for the fall in price of solar panels? (Demand decreased; supply increased)

In all U.S. states, the age of majority is generally defined as 18 years, but minors around 12 years of age are legally allowed to seek HIV testing without parents’ approval including care related to sexual activity. Do you believe this practice is ethically justifiable or not? Discuss by reference to the violation of parental autonomy, state beneficence, etc.

Stock A is expected to produce the following returns given various states of the economy:
Table 1 - Stock A

Table 2 - Stock B and Stock C

1) What is the expected return of stock A?
2) What is the standard deviation of the expected return of stock A?
3) If an investor is considering combine stock A with another stock to build a two-stock portfolio, which one of the two (Stock B or Stock C) is a better choice with the given information in Table 2 and why?

Please show all the work.

61) Why do states places a higher tax on inelastic goods?

62 and 63) What is the two common results of a price ceiling?

64) When government restricts output, it affects both consumers and producers.                                What other problem is created when the government restricts output?

65 and 66) Suppose that a paper producer is dumping waste into a nearby river. The                                    government imposes a tax to correct for this external cost. What will be the                                 effects of this pollution tax on the market for paper in a competitive market?

67) True or False. Accounting profits include both explicit and implicit costs.

68) What is shown by a production function?

69) What does a deadweight loss represent?

70) In cost analysis, what is the difference between the short run and the long run?