...Student Answer Form Unit 5 IP_2
April 22, 2011
(1.)
a.
e^(0.05t)=1600
Answer: t=147.556
Show your work:
ln(e^(0.05t))=ln(1600)
0.05t=ln(1600)
(0.05t)/(0.05)=(ln(1600))/(0.05)
t=(ln(1600))/(0.05)
t=20ln(1600)
t=147.556
b.
ln(4x)=3
Answer: x= 5.0214
Show your work:
4x = e^3/4
c.
log2(8-6x) = 5
Answer: x= -4
Show work:
8 – 6x = 2^5
6x = 8 – 32
X = - 24/6
d.
4 + 5e – x = 0
Answer: no solution found
Show work:
e ^ - x = - 4/5
(2.)
a.
g(x) = log (x + 5)
Description of transformation: shifted left 5 units
Equation for vertical asymptote: x = -5
X-intercept in (x, y) form: (- 4, 0)
b.
g(x) = log ( - x)
Description of transformation: no units were moved, stayed in same place
Equation for vertical asymptote: x = 0
X-intercept in (x, y) form: (-1, 0)
(3.)
a.
Answer: 68 %
Show work:
S (0) = 68 – 20 * log (0 + 1)
S (0) = 68 – 20 * 0 = 68
b.
Answer:
After 4 months:
54.02%
After 24 months:
40.04%
Show work:
S (4) = 68 – 20 * log (4 + 1) = 54.02
S (24) = 68 – 20 * log (24 + 1) = 40.04
c.
Answer: t = 6.94
Show work:
50 = 68 – 20 log ( t + 1)
t + 1 = 10 ^ (18 / 20) = 7.9433
t= 7.9433 – 1 = 6.94
(4.)
a.
Answer: A= $2,938.66
Show work:
A= 2000 * (1+ 0.08/1) ^ (1*5) = 2938.66
b.
Answer: A= $2,971.89
Show work:
A= 2000 * (1+ 0.08/4) ^ (4*5) = 2791.89
c....

...MATH133 UNIT2: Quadratic Equations
Individual Project Assignment: Version 2A
Show all of your work details for these calculations. Please review this Web site to see how to
type mathematics using the keyboard symbols.
Problem 1: Modeling Profit for a Business
IMPORTANT: See Question 3 below for special IP instructions. This is mandatory.
Remember that the standard form for the quadratic function equation is y = f (x) = ax2 + bx + c
and the vertex form is y = f (x) = a(x – h)2 + k, where (h, k) are the coordinates of the vertex of
this quadratic function’s graph.
You will use P(x) = −0.2x2 + bx – c where (−0.2x2 + bx) represents the business’ variable profit
and c is the business’s fixed costs.
So, P(x) is the store’s total annual profit (in $1,000) based on the number of items sold, x.
1. Choose a value between 100 and 200 for b. That value does not have to be a whole
number.
2. Think about and list what the fixed costs might represent for your fictitious business (be
creative). Start by choosing a fixed cost, c, between $5,000 and $10,000, according to the
first letter of your last name from the values listed in the following chart:
If your last name begins with the letter
Choose a fixed cost between
A–E
$5,000–$5,700
F–I
$5,800–$6,400
J–L
$6,500–$7,100
M–O
$7,200–$7,800
P–R
$7,800–$8,500
S–T
$8,600–$9,200
U–Z
$9,300–$10,000
Page 1 of 4
3. Important: By Wednesday night at midnight,...

...NAME : MATH133 Unit 5 Individual Project – A
Describe the transformations on the following graph of f ( x) log( x) . State the placement of the vertical asymptote and x-intercept after the transformation. For example, vertical shift up 2 or reflected about the x-axis are descriptions. 1)
10 9 8 7 6 5 4 3 2 1 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10
Y
X 1 2 3 4 5 6 7 8 9 10
a)
g(x) = log(x - 5)
Description of transformation: Equation(s) for the Vertical Asymptote(s): x-intercept in (x, y) form: b)
g ( x) log( x) 2
Description of transformation: Equation(s) for the Vertical Asymptote(s): x-intercept in (x, y) form:
2) Students in an English class took a final exam. They took equivalent forms of the exam at monthly intervals thereafter. The average score S(t), in percent, after t months was found to be given by S(t) = 68 − 20 log (t + 1), t ≥ 0. a) What was the average score when they initially took the test, t = 0?
Answer: Show your work in this space: b) What was the average score after 14 months?
Answer:
Show your work in this space:
c) After what time t was the average score 40%? Answer: Show your work in this space:
3) The formula for calculating the amount of money returned for an initial deposit into a bank account or CD (certificate of deposit) is given by
r A P1 n A is...

...Unit2
Managing Paediatric Illness and Injury
Level 2
1. Describe the common types of fractures and how to manage them.
Broken bone.
Based on the location and severity of the fracture, a broken bone usually must be set into position and supported until it is strong enough to bear weight. Your physician will recommend the most proven treatment approach, usually casting or surgery
2. Describe how to manage a dislocation
Relieve pain around the dislocation by applying a cold pack to the area; this will also reduce swelling that can add to discomfort injury. Keep joint immobile and do not try to push the bone back in place. Offer ibuprofens if in severe pain, monitor the patient until the professionals arrive.
3. Describe how to recognise and manage the following head injuries:
A concussion: you get dizziness, nausea, loss of memory, mild headache, seeing "stars", double vision, numbness and lack of hand-eye coordination.
B skull fracture: you will probably see an external wound or bruise on the head and there may be a depression visible on the scalp. Check behind the ears for swelling or bruising. There may be loss of clear fluid or watery blood through an eye or nostril, blood in the white of the eye, a black-eye, and the symmetry of the head or face may be disrupted. The responsiveness of the victim may deteriorate
C cerebral compression: levels of response deteriorate; headaches tend to be intense;...

...UNIT2: FINANCE IN THE HOSPITALITY INDUSTRY
Get assignment help for this unit at assignmenthelpuk@yahoo.com
LO1 Understand sources of funding and income generation for business and services industries
Funding: sources eg retained profits, loans, banks, investors, small business schemes, franchise, hire purchase, sponsorship, lease schemes, creditors, debt factoring Income generation: methods eg sales, commission, sub-letting, sponsorship, grants, tracking mechanisms
LO2 Understand business in terms of the elements of cost Elements of cost
sales; materials; consumables; labour; overheads; capital; gross and net profits; discount costing Selling prices: product and service costing; formula to achieve a specific gross profit percentage; differential gross/net profit margins; marginal costing; effect of competition; freelance; commission; peak/off-peak trading Control of stock and cash: methods eg storage, purchasing, cash, security, reconciliation, stock-taking Taxation: income tax; Value Added Tax (VAT); corporation tax; schedules; rates; personal/capital allowances; post-tax profits, implications
LO3 Be able to evaluate business accounts
Trial balance: source; structure eg summary of accounts from sales, purchase and nominal ledgers Final accounts: types eg sole trader, partnerships, limited company, trading account, profit and loss account, balance sheet, adjustments for depreciation, accruals, prepayments, bad debt...

...
American InterContinental University
Unit2 Individual Project
Circular Flow
In the textbook, there are two circular flow diagrams. One represents the flows in the macro-economy as a closed system and the other represents the flows as an open system. The circular flow diagrams show how money travels through the economic systems including businesses, households, foreign agents and governments (Editorial Board, 2013). Within the closed and open systems there are two consumers. The first consumers are households that buy goods and services and the second consumers are those businesses that purchase factors to produce. Households enter the goods market while the businesses enter factor markets.
The first type of circular flow is that of the closed macro-economy system. This is the circular flow of money. A closed system is an economic model that counts only domestic exchanges but not the foreign agents. This therefore means that without foreign agents, the government or the economy is free of leakages. This system is basically shut off from surrounding environments and is self-contained. An example of a closed system would be the Earth system as a whole. Although energy passes across the Earth’s system boundary, no mass is exchanged throughout the Earth’s system and the rest of the universe (Ritter, M., 2011).
The second type of circular flow in the macro-economy is considered the open system. The open system is the opposite of the...

...MTH133
Unit2 Individual Project
Name:
1) Solve the following by factoring:
a) [pic]
Answer: x = 5, x = -2
(x+5)(x+2) = 0
x = -5
x = -2
b) [pic]
Answer: x = 0, x = 2
3x(x-2) = 0
x = 0
x = 22) If [pic], find:
a) f(2)
Answer: f(2) = -3
[pic]
b) f(-3)
Answer: f(-3) = 42
[pic]
3) Solve [pic] using the quadratic formula.
Answer: x = -1/2, x = 2
[pic]
4) Use the graph of [pic] to answer the following:
[pic]
a) Without solving the equation, or factoring, determine the solution(s) to the equation [pic] using only the graph.
Answer: x = -1, x = 5
The line crosses the x axis at -1 and 5.
b) Does this function have a maximum or a minimum?
Answer: Maximum
All the y values are below 8 so it is the maximum point.
c) What are the coordinates of the vertex in (x, y) form?
Answer: (3, 8)
d) What is the equation of the line of symmetry for this graph?
Answer: x = 3
5) a) Calculate the value of the discriminant of [pic] .
Answer: -11
[pic]
b) By examining the sign of the discriminant in part a, how many x-intercepts would the graph of [pic]have? Why?
Answer: No x-intercepts. Discriminant is negative.
6) a) Find the corresponding y values for x= -2, -1, 0, 1, 2, 3 if[pic].
Answer...

...Unit2 – Probability and Distributions
Michelle Hartman
American InterContinental University
Abstract
This is a single paragraph, no indentation is required. The next page will be an abstract; “a brief, comprehensive summary of the contents of the article; it allows the readers to survey the contents of an article quickly” (Publication Manual, 2010). The length of this abstract should be 35-50 words (2-3 sentences). NOTE: the abstract must be on page 2 and the body of the paper will begin on page 3.
Memo
To: American Intellectual Union
From: Michelle Hartman
Date: January 13, 2013
Subject: Data Set
Dear American Intellectuel Union:
Provide a brief introduction (2-3 sentences) to the email you are writing to provide a preview of what will be covered.
Overview of the Data Set
Provide an overview for the current data set. What variables does it include? Which are qualitative, which are quantitative? What categories are used and why are they used? Begin your e-mail to AIU by first providing an overview of the database, that is, a story about the characteristics that may include types of variables, etc.
Use of Statistics and Probability in the Real World
This is a great place for outside research. Be sure to include information about where statistics are being used in the workplace.
The Value of Statistics
Explain the value of statistics and its contribution to the...