What is the price of a 15-year, $1000 par value bond with a 7% coupon that pays interest seminannually if we assume that its yield to maturity is 8%? What would be the price of the bond if its YTM were 9%? Compute the percentage change in price: (new price - initial price) / initial price. Repeat the exercise for a 10-year, $1000 bond with a 7% coupon paying interest semiannually using the same two yields. What do you notice about the percentage change in price for the 10-year bond versus that for the 15-year bond?

In the space below, you will draw a concave PPF for the imaginary country of Economia, which produces just two goods: Bicycles (shown on the vertical axis ) and Skateboards (shown on the horizontal axis).

On this graph, show that Economia can:

1. Efficiently produce 75 bicycles when its production of skateboards is zero, and label this as point “A.”
2. Efficiently produce 50 bicycles when its production of skateboards is 100, and label this as point “B.”
3. Efficiently produce 25 bicycles when its production of skateboards is 130, and label this as point “C.”
4. Efficiently produce 132 skateboards if its production of bicycles is zero
5. Calculate the average opportunity cost for a skateboard as production of this good increases from point A to point B (i.e., from 0 to 100 skateboards)

6. Calculate the average opportunity cost for a skateboard as production of this good increases from point B to point C.

7. Calculate the average opportunity cost for a skateboard as production of this good increases from point C to point D.

8. As the production of skateboards increases, what happens to the opportunity cost for this product? Explain.

Two ice pucks (one orange and one blue) of equal mass are involved in a perfectly elastic glancing collision as shown in the figures below. The orange puck is initially moving to the right at

v_oi = 7.30 m/s, strikes the initially stationary blue puck, and moves off in a direction that makes an angle of θ = 36.0° with the horizontal axis while the blue puck makes an angle of ϕ = 54.0° with this axis as in the second figure.

Note that for an elastic collision of two equal masses, the separation angle

θ + ϕ = 90.0°.

Determine the speed of each puck after the collision in meters per second.

V0f= m/s

Vbf= m/s

Two ice pucks (one orange and one blue) of equal mass are involved in a perfectly elastic glancing collision as shown in the figure below. The orange puck is initially moving to the right at voi = 6.5 m/s,strikes the initially stationary blue puck, and moves off in a direction that makes an angle of θ = 28° with the horizontal axis while the blue puck makes an angle of ϕ with this axis as in figure (b). Note that for an elastic collision of two equal masses, the separation angle θ + ϕ = 90.0°. Determine the speed of the orange puck after the collision.

Background
Hotel One is one of the two hotels serving Dayville, a small town in the US Midwest. Fifty percent of its customers are out-of-town visitors to the local college, 30 percent are visiting Dayville for business purposes, and the remaining 20 percent of Hotel One’s customers are leisure travelers. The hotel is within one mile from campus, approximately four miles from the city center, and eight miles from the airport. It is easy to reach by car, taxi, or city bus. You are a manager of Hotel One. Your facility consists of 150 rooms, all of which are standard rooms with two double beds. Your only competitor in Dayville, The Other Hotel, has fewer rooms (100), but 20 of their rooms are luxury suites with king beds and a sofa couch (the other 80 are standard rooms with two double beds). This is the extent of the information provided to you at this point.

Assignment
In order to better understand your unit’s operating environment, you are asked to provide your estimate of the demand equation that would account for various factors that affect your customer traffic. This will be done by using regression techniques. The first step in estimating a demand equation is to determine what variables will be used in the regression. Please provide detailed answers to the following questions:
1. What do you think should be the dependent variable in your demand equation? What units of measurement for that variable are you going to adopt? Please provide a detailed explanation for these choices.
2. Please request information about up to five independent (explanatory) variables for your demand equation. For each variable you request, (i) provide reasons why you expect it to be
important for your analysis and (ii) explain the expected sign of the relationship between the proposed independent variable and your proposed dependent variable.
3. Show the exact demand equation you are proposing to estimate.

A ski company in Vail owns two ski shops, one on the west side and one on the east side of Vail. Ski hat sales data (in dollars) for a random sample of 5 Saturdays during the 2004 season showed the following results. Is there a significant difference in sales dollars of hats between the west side and east side stores at the 10 percent level of significance? Saturday Sales Data ($) for Ski Hats Saturday East Side Shop West Side Shop 1 548 523 2 493 721 3 609 695 4 567 510 5 432 532 (b) State the decision rule for 10 percent level of significance. (Round your answers to 3 decimal places.) (c-1) Find the test statistic tcalc. (Round your answer to 2 decimal places. A negative value should be indicated by a minus sign.)

Suppose you have a pair of tetrahedra. One is red on one face, yellow on two faces, and green on one face. The other is white and has faces marked 1, 2, 3 ,4

a. Complete the table

b. If both tetrahedra are tossed, what is the probability of a red (facing down) and a 3 (facing down)? Of a yellow (facing down) and a number >1 on the other (facing down?) Of a green (facing down) and a number >4 (facing down) on the other? Of a yellow (facing down) on the colored one and a sum of >2 of faces showing on the other?

1.) Two 100 g pieces of metal, one copper and one aluminum, that start at the same temperature are put in an oven for 2 minutes. When they are taken out of the oven, the copper feels warmer than the aluminum. This can be explained by the relative values of specific heat for the two metals. Copper must have a [ Select ] ["higher", "lower"] specific heat capacity than the aluminum, because [select one: higher heat capacity men a high melting point. OR the molar mass of copper is greater than aluminium, OR the higher heat capacity means a larger temperature change, OR the same quantity of heat resulted in a higher (DELTA) T compared to aluminum. 2.) The molar enthalpy of combustion of methane, CH4 (molar mass of 16.0 g/mol), is 840 kJ/mol.

The molar enthalpy of combustion of ethanol, C2H5OH (molar mass of 46.1 g/mol), is 1360 kJ/mol.

The molar enthalpy of combustion of butane, C4H10 (molar mass of 58.1 g/mol), is 2970 kJ/mol.

What is the correct match for ranking the energy density of these three compounds

Highest energy density

      [ Choose ]            C2H5OH            C4H10            CH4      

Middle energy density

      [ Choose ]            C2H5OH            C4H10            CH4      

Lowest energy density

3.)

A gas has a volume of 115 mL at an initial, unknown pressure. The same sample of gas has a volume of 320 mL at a pressure of 715 torr. What can be said about the initial pressure?

4.)

Isoamyl acetate is the key molecule responsible for the smell of bananas and it has the chemical formula, C7H14O2.

Allyl valerate is a key molecule responsible for the smell of pineapples and it has the chemical formula C8H14O2.

Suppose you are in a very still room (no fans or ventilation system in use to move air around) and a coworker opens vials containing 200 mL samples of gases of each (a) isoamyl acetate and (b) allyl valerate at the same time. If you are standing on the opposite side of the room, which will you smell first and why?

                           [ Select ]                       ["pineapple", "banana"]         because the molecule with the                           [ Select ]                       ["smaller", "larger"]         molar mass diffuses through the air in the room faster.

5.)

Nitroglycerin is a well known explosive. It has a chemical formula of C3H5N3O9 (molar mass is 227.1 g/mol) and when it detonates the balanced equation for the reaction is:

4C3H5N3O9 ----> 6N2 + 12CO2 + 10H2O + O2

If one gram of nitroglycerin gives off 6.260 kJ of energy upon detonation, what is the enthalpy change in the thermochemical equation for this reaction?

4C3H5N3O9 ----> 6N2 + 12CO2 + 10H2O + O2   (DELTA) H = ??

Two ice pucks (one orange and one blue) of equal mass are involved in a perfectly elastic glancing collision. The orange puck is initially moving to the right at voi = 6.55 m/s, strikes the initially stationary blue puck, and moves off in a direction that makes an angle of ? = 40.0° with the horizontal axis while the blue puck makes an angle of ? = 50.0° with this axis. Note that for an elastic collision of two equal masses, the separation angle ? + ? = 90.0°. Determine the speed of each puck after the collision in meters per second. v0f = ? vbf = ?

There are 5 boxes. One box is empty; two boxes each contains one marble; and the remaining two boxes each contains two marbles. Suppose that the colors of the marbles are not known, but it is known that each marble can only be either red or green, with equal probability. Suppose that ONE box is randomly chosen from the 5 boxes, and let R denote the number of the red marble(s) the box has, and G be the number of the green marble(s) the box has. (Of course either R or G, or both, can be 0.)

(a) Write out the joint probability distribution of R and G.

(b) P(R > 0 ) = ?

(c) Write out the marginal distribution of G.

(d) P(G=1 | R=1) = ?

(e) E[R | G=1] = ?

(f) Are R and G independent? (Yes or no, you must justify your answer mathematically; otherwise, no credits can be given.)

(g) Calculate the correlation between R and G.