1. Solve
a. e^.05t = 1600
0.05t = ln(1600)
0.05t = 7.378
t = 7.378/.05
t = 147.56

b. ln(4x)=3
4x = e^3
x = e^3/4
x = 5.02

c. log2(8 – 6x) = 5
8-6x = 2^5
8-6x = 32
6x = 8-32
x = -24/6
x = -4

d. 4 + 5e-x = 0
5e^(-x) = -4
e^(-x) = -4/5
no solution, e cannot have a negative answer

2. 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.

a. g(x) = log( x + 5)
horizontal left shift 5
Vertical asymptote x = -5
x-intercept: (-4, 0)

b. g(x)=log(-x)
over the x-axis
vertical asymptote x=0
no x-intercept

3. 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? Round your answer to a whole percent, if necessary. S(0)=68-20xlog(0+1) =
68-20x0
= 68%

b. What was the average score after 4 months? after 24 months? Round your answers to two decimal places.
-S(4) = 68-20xlog(4+1)
68-20x0.699
68-13.98
=54.02
-S(24) = 68-20xlog(24+1) = 40.04
68-20x1.398
68-27.96
=40.04

c. After what time t was the average score 50%?
Round your answers to two decimal places.
50 = 68 - 20 log (t + 1)
20log(t+1) = 68-50
log(t+1) = 18/20
t+1 = 10^(18/20) = 7.9433
t = 7.9433-1 = 6.94

4. 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 A=P(1+r/n)^nt A is the amount of the return.
P is the principal amount initially deposited.
r is the annual interest rate (expressed as a decimal).
n is the number of compound periods in one year.
t is the number of years.
Carry all calculations to six decimal places on...

...NAME : MATH133 Unit5 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 the amount of...

...unable to go into teaching. After a few years I decided to take up employment in a private nursery. When going for interview I was frequently told I was over qualified for the position of Nursery Nurse as a level 2 or 3 NVQ is the qualification required for this position.
Eventually I was employed in the private sector, where I have worked ever since. I am currently employed as the nursery teacher in the pre-school room. I feel that I am able to pass on my knowledge to the other practitioners in the setting, which in turn helps them to improve their practice.
I am now at the stage in my life where I feel that I would like to move out of the rooms and work on the management side. Therefore I have decided to retrain by completing this level 5 qualification to enable me to improve my knowledge of the management of a nursery setting, and to become a competent Deputy Manager.
3.Be able to prepare a professional development plan
3.1 – Select learning opportunities to meet development objectives and reflect personal learning style
There are three different learning styles. Auditory, whereby the learner is able to listen to explanations. Visual, where the learning takes place by looking at graphics, watching demonstrations or reading, and finally Kinestheic, where the learner processes the information through a hands on experience, by doing the activity, or writing notes to help them to understand.
Most learners use a combination of all 3 styles, but have a clear...

...Tystiolaeth Cyflawniad/Performance evidence record
Uned/Unit 520
Enw’r ymgeisydd/Candidate name Heather Mann
Defnyddiwch y ffurflen hon I gyfnodi manylion gweithgareddau (Ticiwch y bwlch priodol)
Use this form to record details of activities (tick appropriate box)
Arsyllwyd gan eich asesydd
Observed by your assessor
Gwelwyd gan arbenigwr tyst
Seen by an expert witness
Adroddiad huan adlewyrchol
Self reflective account
CD –Canlyniad Dysgu
LO – Learner Outcome
SYLWER Gall eich asesydd ofyn cwestiynau llafar yn berthynas i’r gweithgaredd hon. Sicrhau eu bod yn cael eu cofnodi yn y bocs priodol. Bydd rhaid i’r person sydd wedi ardystio/arsylwi arwyddo y dudalen olaf
NB Your assessor may wish to ask you some questions relating to this activity. Ensure they are either recorded in the performance evidence or on a “Questioning record. The person who observed/witnessed your activity must sign and date the last page.
Dyddiad y gweithgaredd
Date of activity
Uned
Unit
CD
LO
Tystiolaeth y perfformiad
Performance evidence
Good staff are the key point to a successful business. They need to be the right person for the right role. A poor staff member can cost time and money and can in turn bring a lack of confidence in the Company by the authorities which use our services. IT is therefore imperative that the recruitment criteria to followed and adhered to.
We have a recruitment and selection policy ( see...

...2750185165036500-575310165036500inclined plane with pulley and weights.
The first part of the experiment is “Determination of the Coefficient of Friction” as shown in Figure 5. The first procedure is to position the wooden plane horizontally then measure the weights of the block and pan using the platform balance. Next is to tie one end of the string to the block’s hook and the other end to the pan passing over the pulley of the plane. Next, place the narrow side of the block on top of the plane. Next, slowly add weights on the pan until you observe a uniform sliding motion of the block along the plane. Record the weights on the 3735070000data sheet then repeat it by adding smaller weights on top of the block and adjusting the weights on the pan. Make five (5) trials but on the third trial, use the wide side of the block. Calculate µ for each trial and finally 37357053016250Figure 5. Set Up for the Determination of the Coefficient of the Friction
0Figure 5. Set Up for the Determination of the Coefficient of the Friction
determine its average value. Lastly, Plot Wb along the abscissa (x-axis) and Wp along the ordinate (y-axis). Get the slope of the line.
Table 1. Determination if the Coefficient Friction
TRIAL (Wblock + Weightadded)
Wb(Wpan + Weightadded)
WpCoefficient Friction
µ
1 138.9 g 30 g 0.22
2 238.9 g 40 g 0.17
3 138.9 g 30 g 0.22
4 238.9 g 85 g 0.36
5 338.9 g 105 g 0.31...

...
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...

...Unit5
Written Test
I. Express in one word: 1) to discuss matters in order to come to an agreement; 2) to go beyond what is allowed or necessary; 3) keeping of law, custom, duty; 4) to prevent smb. from doing smth, to bring to nothing; 5) to persuade a person to do or take smth. by using unfair methods, tricks.
II. Give E. equivalents to: 1) взаимодействие человека и машины; 2) глубокие перемены; 3) устранять, исключать, уничтожать; 4) уроки труда; 5) коррективный; заменять учителя; 6) доступ, подход; 7) нововведение; 8) воздействие; 9) записывать лекцию; метод проб и ошибок; 10) пользователь.
III. Paraphrase the following:
1. She could never understand him.
2. He fought bravely but the chances were not in his favour.
3. One should read more to extend his knowledge.
4. The whole situation and the way it was solved revealed his best qualities.
5. I don’t believe people when they tell me something flattering.
6. Don’t scold the pupils, they are not to blame.
IV. Translate into E.:
1. Он ничего не хотел предпринимать, т.к. сначала хотел сориентироваться в обстановке.
2. Все восхищались этим замечательным актером. Он творил чудеса на сцене.
3. Вам необходимо расширять свой кругозор! – Легко сказать.
4. Не могу понять Джорджа. Вчера он сорвал на мне зло, а сегодня сделал комплимент.
Unit5 Keys
I. 1) to negotiate; 2) to exceed; 3) observance; 4) to frustrate;...

...52 weeks a year. If his current wage is $15.00 per hour, how much will he make per year?
Before taxes Joe will make $31,200.
2. How much would Joe’s wages be in an average month?
Joe’s wages would average $2400 per month.
3. Based upon the information in the video, Joe has a car payment of $249 per month. The average utilities are: Electricity, $79; Gas, $49; Water, Sewer, and Trash, $27. In addition, Joe is saving $100 per month. How much of his monthly salary would be committed to utilities and other expenses?
$504.00 would be committed to utilities and other expenses.
4. If Joe’s net income after taxes each month is equal to 74% of his gross wages, how much is his net income?
$1776 a month would be Joe’s net income.
5. Joe’s total monthly payment to the bank will consist of the mortgage interest plus principal amount plus monthly payments for insurance and taxes. What will the total monthly payments be for a 15-year and a 30-year loan including taxes and insurance?
15 year loan - $575.00 mortgage payment, $31.25 taxes, $20.83 insurance. Total monthly payment $575.00+$31.25+20.83 = $627.08 per month
30 year loan - $439.00 mortgage payment, $31.25 taxes, $20.83 insurance. Total monthly payment $439.00+$31.25+$20.83 = $491.08
6. After paying for his car, utilities, and a 15-year mortgage payment how much will he have left to cover other living expenses? If he goes with a 30-year mortgage, how much will he have left over to cover...

...Unit 405 Applying Theories and Principles for Planning and Enabling inclusive Learning and Teaching Level 5 DTLLS / Diploma in Teaching in the Lifelong Learning Sector From JEZI - UK Date 27th October 2014 Unit 405 Part A Define what is meant by Theory to me it is an idea of how something works. It is a way of explaining to others the concept of the how and why of something should be done logically. The Theories of Learning according to Reece Walker (2007) that states The five main areas are Behaviourism, Neo-behaviourism, Gestalt (Insight), Cognitive Development, and Humanists, as well as more recently theorised areas of lifelong learning, but Geoff Petty (2009) explains that Theories of Learning can be separated into three main schools of thought 1) The behaviourist school. 2) The cognitivist school. 3) The humanist school. Behaviourist school of thought is concerned completely with learned behaviour, and is interested in looking at behavior and observable changes, the learners react more to teaching rather than being actively involved in the process. Cognitivist is interested in looking at the thought processes behind the behavior, for example encoding information into short term and long term memory. Therefore cognitivist is the theory that humans generate knowledge and meaning through a sequence of development, such as the mental processes of recognition, recollection, analysis, reflection,...

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