I have put a side 62,000 for my grandsons college tuition and I have found that the best most safe and effective way to earn money for the next 12 yrs until he goes to college is by investing it into a CD with an annual rate of 0 .90% (bankrate, 2013) and it is compounded monthly. I have researched to see if my investment would help with tuition in 12 years. I used an inflation calculator and with the current trend of 45% increases in college tuition per year in 12 years college will cost 99,900.49 in the first year and 8% inflation increase each year after. This was done for a 4yrs public college (College Cost Projecter, 2013). My Principal starting fund in 2013 grandson age 6 is $62,000. a) Annual Interest rate r= 0.90%

b) Investment time t= 18yrs
c) Interest compounded monthly n=12
d) Model of my investment earns as a function is f(t)=P(1+r/n)^nt f(12)=62,000(1+.009/12)^12t f(12)= 62,000(1+.009/12)^12*12
f(12)=62000(1+.00075)^12*12
f(12)=62000(1.00075)^12*12
f(12)=62000(1.00075)^144
f(12)=62000*144.108
f(12)=89,346.96 Future value of my investment
With the average cost of college today (National Center for Education Statistics, 2013) , I have found that I would have enough money for the first two years of college, if he were going today. In the future I would have enough for a portion of the first year. If available he would have to get loans, grants and scholarships in the future. I hope that future costs of college will not deter students from attending. References

(2013, 04 23). Retrieved from bankrate: http://www.bankrate.com (2013, 04 23). Retrieved from College Cost Projecter: http://www.hesc.ny.gov/content.nsf/sfc/college_tutition_cost_projector (2013, 04 23). Retrieved from National Center for Education Statistics: http://www.NCES.ed.gov/fastfacts

...
ANALYSIS
Physics has a lot of topics to cover. In the previous experiments, we discussed Forces, Kinematics, and Motions. In this experiment, the focus is all about Friction. Friction is the force resisting the relative motion of solid surfaces, fluid layers, and material elements sliding against each other. There are several types of friction like fluid friction which describes the friction between layers of a viscous fluid that are moving relative to each other; dry friction which resists relative lateral motion of two solid surfaces in contact and is subdivided into static friction between non-moving surfaces, and kinetic friction between moving surfaces; lubricated friction which is a case of fluid friction where a fluid separates two solid surfaces; skin friction which is a component of drag, the force resisting the motion of a fluid across the surface of a body; internal friction is the force resisting motion between the elements making up a solid material while it undergoes deformation and sliding friction.
When surfaces in contact move relative to each other, the friction between the two surfaces converts kinetic energy into heat. This property can have dramatic consequences, as illustrated by the use of friction created by rubbing pieces of wood together to start a fire. Kinetic energy is converted to heat whenever motion with friction occurs, for example when a viscous fluid is stirred. Another important consequence of many types of friction can be wear,...

...
The case between Beauty and Stylish involves concept of a valid contract, pre-contractual statements, express term and misrepresentation.
A valid contract is established between Beauty and Stylish when an offer is accepted and there is intention for both parties to create legal relations. An offer refers to the expression of willingness of the offerer to be contractually bound by an agreement if his or her offer is properly accepted. It has to be clear and certain in terms. It must also be communicated to the offeree before it is being accepted. In addition, the acceptance has to be unqualified, unconditional and made by a positive act. In the case of Beauty and Stylish, a positive act refers to the signing of the contract. All terms of the offer must be accepted without any changes and cannot be subjected to any condition, taking effect only upon fulfillment of that condition. When Beauty and Stylish enter into the agreement, they must intend to bind and bound legally to each other by their agreement. This is the intention to create legal relations between two parties. In the meanwhile, this contract must possess consideration. A contract must therefore be a two-sided affair, with each side providing or promising to provide something of value in exchange for what the other is to provide.
Every contract, whether oral or written, contain terms. The terms of a contract set out the rights and duties of the parties. Terms are the promises and undertakings given by each...

...Math133
Unit 2 IP2
1. X^2-10x-24
a) X=4 x= -6
Show my work:
X^2-10x-24=0
A) 1
B) -10
C) -24
X^2-10x-24=0
(X-4) (x+6)
X-4=0 x=4
x+6=0 x= -6
B) 3x^2+7x-20=0
Answer: x=7+4=5.5 x= 7-4=1.5
Show my work:
X= -b±b2-4ac2a
X= (-7) ±(-7)2-4(3)(20)2a
X= 7±64-802a
X=7 ±-16
X=7+4/2=5.5
X=7-4/2=1.5
c.10x^2+x-3=0
x=-b±b2-4ac2a
x=-1±(1)2-4(10)(-3)2(10)
x=1±1-12020
x=1±10
x=1+320 = 5
x=1-320= 10
There are two types of solutions to this problem which are x=1+320 = 5 and x=1-320= 10
2.
a. The solution for this equation just by looking at the graph is (-2.3,0) and (0,6.3)
b. This is a maximum function. The reason how I obtain my answer is because it is at the peak of the parabola
c. (2, 9)
d. the equation is x=2
3.
a. s= -16t^2+64t+25
b. 73 Feet
Show my work:
S= -16◦(1)^2+64◦(1)+25
S= -16+64+25
S=73 feet
C Answer is 2 seconds
Show my work:
.-b2a= -642(-16)= -64/-32=2 seconds
d. Answer is 89 feet
Show my work
S= -16*(2)^2+64*(2)+25
S= 64+128+25= 89 feet
4. a.
x | y |
-2 | 4 |
-1 | 0 |
0 | -2 |
1 | -2 |
2 | 0 |
3 | 4 |
Show my work
Y=x^2-x-2
X=-2 x= -1 x=0 x=1
Y=-2^2-(-2)-2 y= -1^2-(-1)-2 y= 0^2-0-2...

...Tutor-marked Assignment 3
WUC 115/05
UNIVERSITY MATHEMATICS B
[pic]
Evidence of plagiarism or collusion will be taken seriously and the University regulations will be applied fully. You are advised to be familiar with the University’s definitions of plagiarism and collusion.
Instructions:
1. This is an individual assignment. No duplication of work will be tolerated.
Any plagiarism or collusion may result in disciplinary action in addition to
ZERO mark being awarded to all involved.
2. TMA 3 covers topics from Unit 2 and Unit 3.
3. Submit your TMA 3 to Turnitin to generate your Originality Report
(optional).
4. Submit your TMA3 file through the Online Assignment Submission (OAS) system.
5. The total marks for TMA 3 is 100 % and it contributes 20 % towards your
total grade. Marks will be awarded for correct working steps and answer
6. TMA 3 contains five (5) questions. Answer all questions in English.
7. The deadline for the submission of TMA 3 is 28 October, 2011.
Question 1
Use Cramer’s rule to solve the following systems of linear equations.
(a) [pic]
[pic]
(b) [pic]
[pic]
(c) [pic]
[pic]
(d) [pic]
[pic]
( 20 marks)
Question 2
Use Gaussian Elimination Rule to solve the following systems of linear equations
(a) [pic]
(b) [pic]
(c) [pic]
(d) [pic]
( 20 marks)
Question 3
(a) An oil refinery in Trengganu sent 150,000 litres of oil to a distributors in...

...Student Answer form Unit 2
1.
a. x-4x=-6
A) 1
B) -10
C) -6
X^2-10x-24=0
(X-4) (x+6)
X-4=0 x=4
X+6=0 x+-6
b. x=7+4=5.5 x=7-4=1.5
x=-b±b2-4ac2a
x= (-7) ± (-7)2-4(3) (20)2a
x=7±64-802a
x=7±-16
x=7+4/2=5.5
x=7-4/2=1.5
c. 10x^2+x-3=0
x=-b±b2-4ac2a
x=-1± (1)2-4(10) (-3)2(10)
x=1±1-12020
x=1±10
x=1+320 = 5
x=1-320= 10
2.
a. (-2.3, 0), (0, 6.3)
b. This is a maximum function.
This is a maximum function because it is at the peak of the parabola.
c. (2, 9)
d. x=2
3.
a. s= -16t^2+64t+25
b. 73 Feet
S= -16◦(1)^2+64◦(1)+25
S= -16+64+25
S=73 feet
c. 2 seconds
-b2a= -642(-16)= -64/-32=2 seconds
d. 89 feet
S= -16*(2)^2+64*(2)+25
S= 64+128+25= 89 feet
4.
a. x | y |
-2 | 4 |
-1 | 0 |
0 | -2 |
1 | -2 |
2 | 0 |
3 | 4 |
Y=x^2-x-2
X=-2 x= -1 x=0 x=1
Y=-2^2-(-2)-2 y= -1^2-(-1)-2 y= 0^2-0-2 y=1^2-1-2
Y=4+2-2 y= 1+1 -2 y= -2 y= 1-1-2
Y=6-2 y= 2-2 y= 0-2
Y=4 y=0...

...Financial Mathematics
Credit and Loans:
Simple Interest and Flat Rate Loans:
A flat rate loan is one where flat or simple interest is charged on an amount borrowed or principal for the term of the loan. Interest is always charged on the full amount of the loan.
I = Prn
P = principal
r = rate per period expressed as a decimal
n = number of periods
E.g. Phil borrowed $4000 for three years at 8%p.a. (per annum) (flat rate)
a) What is his interest?
b) What is the total repaid?
c) What are the monthly repayments?
Solution:
a) 4000x8/100x3
Interest=$960
b) Total Repaid: interest + principal
=960+4000
=$4960
c) Monthly repayments:
=4960÷36 (36 is the number of months is 3yrs)
=137.777……
=137.78
Buying on Terms:
- Time payment- agreement to pay for goods over a certain period of time
- This is also called a hire purchase as the customer actually hires (borrows) the good until they are paid off.
- Goods can be reposed if payments are failed to be paid
- Deferred Payment Plan- deposit, ‘interest-free period’,
E.g. Jem borrowed $200 at $120 per month for two years. He also paid $300 deposit
A) What was the cash price of the item
=$2300
B) What did he pay in total?
= 120x24+300
=$3180
C) What was the flat interest rate?
= Int= 3180-2300
=$880
=Rate: I=PRN
=880=2000xrx2 (2 means years of interest rate in % p.a.)
r=880÷2000÷2
r=0.22 (x100...

...Chapter 11
Four Decades of the Defence of
Australia: Reflections on Australian
Defence Policy over the Past 40 Years
Hugh White
The serious academic study of Australian defence policy can be said to have
begun with the publication of a book by the SDSC’s founder, Tom Millar, in
1965. The dust jacket of that book, Australia’s Defence, posed the following
question: ‘Can Australia Defend Itself?’ Millar thus placed the defence of Australia
at the centre of his (and the SDSC’s) work from the outset. Much of the SDSC’s
effort over the intervening 40 years, and I would venture to say most of what
has been of value in that effort, has been directed toward questions about the
defence of the continent. This has also been the case for most of the work by
Australian defence policymakers over the same period. In this chapter I want
to reflect on that work by exploring how the idea of the ‘defence of Australia’
has evolved over that time, and especially how its role in policy has changed,
from the mid-1960s up to and including the most recent comprehensive statement
of defence policy, Defence 2000: Our Future Defence Force.
This is no dry academic question. The key question for Australian defence
policy today is how we balance priority for the defence of Australia against
priority for the defence of wider strategic interests. The starting point for that
debate is the policies of the 1970s and 1980s, which placed major emphasis on
the defence of the continent....

...Yr 10
Mathematics
Assignment
LCR Maths
By Adonis Chigeza
Understanding and Fluency Tasks
Task A
1. y = 1.2𝑥 + 2.57
2. Interpolation: y = -3.43
Extrapolation: y = -8.23
Task B
a) The equation for the path of the ball is h = -0.1t^2 + 0.9t + 1 (h = height, t = time)
b) The vertical height of the ball after 2. seconds2.664m
c) The maximum height reached by the ball is 3.025m
d) The time of with the ball is at maximum height of 3.025 is 4.5 seconds
e) The total time in which the ball was in the air is 10 seconds
f) The two times in which the ball was 1 metre above ground is 0 and 9
Adonis Chigeza 10C
LCR Mathematics
Problem Solving and Reasoning Task
1.
Equation: y = -1.2𝒙2 + 8.4𝒙
a. The bridge is 7 metres wides so therefore it will successfully span the river with 2
metres to spare.
b. If a yacht has a 15 metre mask it will be unable to pass safely under the bridge
because the bridge only has a vertical height 14.7 metres.
Adonis Chigeza 10C
LCR Mathematics
2. Equation: v= -0.2h2 + 2.4h
a. The horizontal distance covered by the rocket when it reached its maximum
height of 7.2 metres was 6 metres.
b. The maximum height reached by the rocket was 7.2 metres.
c. At the horizontal distance of 9 metres from the launch site, there is a 5.2 metre
wall and at that vertical distance, the rocket has a vertical distance 5.4 metre.
That is not taking to account the dimensions of the rocket, however the rocket
cannot have...