A ball is tied to a string and whirled in a horizontal circle at a constant 4 revolutions per second. Categorize the following according to whether they are constant and zero in value, constant and non-zero in value, or non-constant in value:

linear speed (scalar)

linear velocity (vector)

radial (centripetal) acceleration (scalar)

radial (centripetal) acceleration (vector)

angular speed (scalar)

angular velocity (vector)

angular acceleration (scalar)

angular acceleration (vector)

1. The cross-price elasticity of demand for Organic fruit with respect to the price of non-organic fruit is 4. Which of the following is an appropriate interpretation of the relationship between organic fruit and non-organic fruit?
   1. The two goods are complements in consumption and consumers are not sensitive to prices
   2. The two goods are complements in consumption and consumers are sensitive to prices
   3. The two goods are substitutes in consumption and consumers are not sensitive to prices
   4. The two goods are substitutes in consumption and consumers are sensitive to prices

The U.S. does not have federal laws mandating paid sick leave for employees, but there is a major push from workers' rights groups to make it mandatory. A few cities and states have passed laws making paid sick leave a non-discretionary benefit for certain types of employees. What are the pros and cons for employers and employees of paid sick leave? Do you think it should be a non-discretionary benefit for everyone?

Vapor Pressure of pure ethanol is 40.0 torr at 19 degrees C

3.42g of sugar (C12H22O11, non-volatile, non-electrolyte) is added to 50.0 mL of ethanol (C2H6O, 0.79 g/mL, melting point = -114 degrees C, Kf = 1.99 degrees C/m)

a. Calculate the vapor pressure of the sugar/ethanol solution @ 19 degrees C.

b. Calculate the melting point of the sugar/ethanol solution.

The 2 questions I struggle with are the following:

True or false? Please justify and explain your answer.

1. Since the theta of a European call option on a non-dividend paying underlying stock is negative, the value of such an option is expected to decrease, on average, over time.

2. We cannot use a European option pricing formulas to price an American put option on a non-dividend-paying stock.

Thanks a lot in advance.

1. A woman that is at risk of having a non-viable pregnancy may have to have blood draws frequently (every several days) at the beginning of her pregnancy to check for hormone levels. What hormone do you think is most likely being checked for, why? Draw a graph showing what normal levels of this hormone would look like and what hormones of a non-viable or at-risk pregnancy might look like.

Discuss the difference between life insurance and non-life insurance companies with regard to the certainty of timing and amount of cash outflows (i.e., which company’s cash outflow is more predictable in terms of amount and timing?). Why is life insurance company more suitable to invest its capital in equity portfolio than non-life insurance company who is more suitable to invest its capital in fixed income securities?

Instructions: Create a Java program that reads a string entered by the user and then determines and prints how many of each lowercase vowel (a, e, i, o, and u) appear in the entire string. Have a separate counter for each vowel. Also, count and print the number of non-vowel characters.

Example: User enters: "This house is beautiful."

a: 1

e: 2

i: 3

o: 1

u: 2

non-vowel:10