Below are the project steps for the creation of a television advertisement for Foolio, which is a new energy drink that the musician Coolio has created. Consider the following data for questions 1 through 5:
|
Activity |
Duration (days) |
Description |
Preceding Activity(ies) |
|
|
A |
3 |
Create script for advertisement |
- |
|
|
B |
4 |
Book technical crew |
A |
|
|
C |
5 |
Book actors |
A |
|
|
D |
4 |
Create props and costumes |
B,C |
|
|
E |
2 |
Book location |
C |
|
|
F |
6 |
Filming and editing |
D,E |
In: Operations Management
Using the appropriate general solution you found in the problem above, solve the following initial value problems. Sketch a graph of the solution that captures the initial condition, the limiting behaviour of the solution as t → ∞ and t → −∞ and the sign of the solution (positive or negative) in these limits (look at the dominant terms).
(c) 2y'' - 3y' + y = 0 , y(2) = 1 , y'(2) = 1
(e) 6y'' − 5y' + y = 0 , y(0) = 4 , y' (0) = 4
(f) y'' + 3y ' = 0, y(0) = −2 , y'(0) = 3
(g) 4y'' − y = 0 , y(−2) = 1 , y'(−2) = −1
In: Advanced Math
|
Suppose that the current 1-year rate (1-year spot rate) and expected 1-year T-bill rates over the following three years (i.e., years 2, 3, and 4, respectively) are as follows: |
| 1R1 = 1%, E(2r1) = 4.25%, E(3r1) = 4.75%, E(4r1) = 6.25% |
|
Using the unbiased expectations theory, calculate the current (longterm) rates for 1-, 2-, 3-, and 4-year-maturity Treasury securities. Plot the resulting yield curve. (Do not round intermediate calculations. Round your answers to 2 decimal places.) |
In: Finance
Using the information provided in the following table, find the value of each asset.
|
Cash flow |
|||
|
Asset |
end of year |
Amount |
Appropriate required return |
|
A |
1 |
$6,000 |
13% |
|
2 |
6,000 |
||
|
3 |
6,000 |
||
|
B |
1 through ∞ |
$200 |
10% |
|
C |
1 |
$0 |
12% |
|
2 |
$0 |
||
|
3 |
$0 |
||
|
4 |
$0 |
||
|
5 |
35,000 |
||
|
D |
1 through 5 |
$2,500 |
12% |
|
6 |
8,500 |
||
|
E |
1 |
$3,000 |
19% |
|
2 |
2,000 |
||
|
3 |
8,000 |
||
|
4 |
7,000 |
||
|
5 |
4,000 |
||
|
6 |
1,000 |
||
In: Finance
Suppose 4 people each start with $10. In each of 2 periods, each person flips a coin (50% probability of heads or tails).
a. Suppose that each time a person flips heads, their wealth increases by 70%. If they flip tails, their wealth decreases by 30%. On average, what fraction (or percentage) of the total wealth would you expect the richest person to have in each period? (Show how you calculated the answer.) (1 pt)
b. Now, repeat the exercise in a. above, but with tails decreasing wealth by 70% (heads still increasing wealth by 70%). On average, what fraction (or percentage) of the total wealth would you expect the richest person to have in each period? (Show how you calculated the answer.) (0.5 pts)
c. In class, we looked at the same game, but with heads increasing wealth by 50% and tails reducing it by 50%. In that exercise, we found that the richest person had 37.5% of the wealth at the end of period 1, and 56.3% of the wealth at the end of second period. Which of the two versions of the game you played (a. or b.) resulted in a more similar pattern to this? (0.5 pts)
d. Bonus: (0.5 pts) What explains (2 sentences max.) your answer to c. above? (i.e. what is the key difference or similarity between the games in a. and b., relative to the one in class?)
In: Economics
Alphaland has a 4 percent annual growth rate of real GDP and a 2 percent annual rate of population growth.
The growth rate of real GDP per capita for Alphaland is %_____
Betaville has a 6 percent annual growth rate of real GDP and a 5 percent annual rate of population growth.
The growth rate of real GDP per capita for Betaland is %____
In: Economics
4-2 You have opened a new motel with an attached restaurant and cocktail lounge. What are the risks that your business faces? What insurance coverages should you consider essential in your insurance program?
In: Finance
In: Statistics and Probability
Write the balanced equation for the reaction between MnO4^- and C2)4^2-. Identify the oxidizing reagent and the reducing reagent. Identify the elements that undergo oxidation and reaction including their oxidation number changes. 2MnO4^- + 5 C2O4^2- + 16H^+ --> 2Mn^2+ + 10CO2 + 8H20
In: Chemistry
5. Of the 9-letter passwords formed by rearranging the letters AAAABBCCC (4 A’s, 2 B’s, and 3 C’s), I select one at random. Determine the following probabilities.
(a) Prob (my word is a palindrome and has no two C’s next to each other). 4 points
(b) Prob (my word has two C’s next to each other and the other C not next to them).
(c) Prob (my word has the three C’s next to each other and the B’s apart from each other).
Leave your probabilities with factorials in them.
In: Advanced Math