Algebra equations and inequalities, lines parabola and systems arithmetic and geometric progressions

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Algebra equations & inequalities, lines parabola and systems arithmetic and geometric progressions please follow assignment questions total question are 10. Plagiarism not more than 10%

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COLLEGE OF BANKING AND FINANCIAL STUDIES DEPARTMENT OF UNDERGRADUATE PROGRAMME Bachelor in Business Administration ASSIGNMENT BRIEF Weightage: 30% Student Name Semester 2 Year 2018 Sept-Jan2018 Assignment Title Algebra, Equations & Inequalities, Lines parabola and Systems, Arithmetic and Geometric progressions Module Business Math Assessor: : Mr Sayyed Mohammad Danish Start Date: 14th November 2018 Internal Verifier Dr. Chintan Due Date: Required Work, Format and Grading 1 You must submit the following by the assignment due date: * Completed answers to each task, making sure that you fully address each of the outcome criteria. * Answer all questions separately. * Assignments without TURNITIN report will not be accepted. Resources: You need to demonstrate a confident application of the theories to the assignment task. The theoretical underpinning of your observations and deliberations should also demonstrate a good understanding of the subject by the way that your analysis is structured. You can access the Internet to research about the topic. You should demonstrate good academic practice by the appropriate use of academic texts and journals that are properly referenced. Guidelines and further information about assignment: Assignment must be submitted with the “Turnitin" report. If the report generated indicates a similarity index percentage of 20% or more, a review of your assignment is necessary to ensure the same is reduced to less than 20%. Student declaration: I certify that the work contained in this assignment was researched and prepared by me: Signature: Date: Grades given are subjected to External Verification. No grades are Final The user ID and Password for submitting the soft copy of the report through TURNITIN is as follows: Class ID:19651816 Password: bmath Submission time and date : 16th December 2 You should submit the assignment by the time and date mentioned otherwise a 'NA' will be awarded. Fill in the form cover and staple it with your assignment. Make sure that all the relevant details are complete. Assignments must be submitted by the due date. You may include diagrams, figures etc without word penalty. Plagiarism Writing Summary 1. Plagiarism occurs if you use somebody else's work in an assignment or exam answer, but fail to state where you got the material from. You need to be also very careful about the amount of words you are using from somebody else's work. 2. It can happen in any type of assessment where you are given the questions or tasks in advance. 3. If another student uses your work in his/her answer(s), both you and he/she will be punished when caught. 4. Punishments for committing plagiarism can be very severe. Details Plagiarism is a form of cheating in which students use the work of others and present it as their own. It may include all or any one of the following - 1. Copy extensively from the work of others (from sources such as books, magazines, journal, web-sites etc.) and submit the work as your own. 2. Copy another students' work and submit it for assessment under your own name. 3. Allow another student to copy your work and then submit it for assessment under their own name sy 10% os xolzo.lds 60 35% (0.35) Answer following Questions: - (30 Marks) GOL TYL so 1. How much of a 10% salt solution should be added to 60 liters of a 35% salt solution to obtain a mixture that is 30% salt solution. (3) 2. The sales of a small company were R.O 29000 in its second year of operation and R.O 65000 in its fifth year. Let Y represents the sales in the tenth year of operation, Assume that the data can be approximated by a straight line. y-y, = m(B-ds) 3 Y Ye Yi a) find the slope of the sales and give an equation for the line in the form y=mx+o (1.5) b) Use your answer from part a to find out how many years must pass before the sales surpass R.O. 100,000 (1.5) GE 3. On January 1, 2018 Sara's shop sold 3 boxes of cookies online, Their daily goal is to sell double > the number of boxes as the previous day. At this rate, how many boxes will they sell in a day on January 15, 2018 (3) 4. Steffi starting a job with monthly salary of OMR15000. She is promised an increment of OMR 100 per year. What will be her salary after 20 years? (3) G 5. Isa has pizza stores and wants to expand his franchise nationwide. If he doubles the number of stores that he owns each month, how many stores will he own at the end of the 12th month? (3) D-500 6. A piece of machinery value at $80000 depreciates $ 8000 the first year, $7500 in the second year, $ 7000 in 3rd year and so on. How much did the car depreciate the 8th year? (3) 7. A woman made $ 4000 during the first year of her job. Each year she received a 10% raise. a) How much did she earn in her 10th year on the job? b) What were the total earnings during her first 10 years on the job? (1.5) (1.5) 8. It costs Ibrahim $20,000,000 to develop and market a new model of a car. The company sells each car for $ 25000.. How many cars must be sold by Ibrahim to make sure to make a profit of more than $5,000,000. proful ap=R- P=R-CD capital 9. An auditorium has 10 seats in the first row,13 in the second row,16 in the third row and so on in an increasing pattern. If the auditorium has 17 rows of seats, how many seats will be there in total in the auditorium? (3) 10. A widget company has a fixed cost of $ 4600 per day and variable cost of $1.50 per widget produced. If the selling price of a widget is $4.5, find the least number of widgets that must be sold per day to earn a profit? (3) P-R-Cro 4
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1. Denote the needed volume of 10% solution as 𝑥 (liters). Then the resulting solution will
have volume of 𝑥 + 60 liters and will contain 0.1𝑥 + 0.35 ∙ 60 liters of salt. For its
concentration to be 30%, it must be
0.1𝑥 + 0.35 ∙ 60 = 0.3(𝑥 + 60),
or
0.05 ∙ 60
0.2𝑥 = 0.05 ∙ 60, 𝑥 =
= 0.5 ∙ 30 = 𝟏𝟓 (liters).
0.2

2. The slope is the change of sales over the change of time, i.e.
65000 − 29000 36000
R. O
).
𝑚=
=
= 12000 (
5−2
3
year
a) Therefore, the equation of the line is
𝑦 = 12000(𝑥 − 2) + 29000 = 𝟏𝟐𝟎𝟎𝟎𝒙 + 𝟓𝟎𝟎𝟎.
b) For this to be 100000 or more, it must be 12000𝑥 + 5000 ≥ 100000, or
95
11
12000𝑥 ≥ 95000, 𝑥 ≥
=7 .
12
12
So the first such year is 𝟖th.

3. They’ll sell 3 ∙ 2 boxes in a day of January 2, 3 ∙ 2 ∙ 2 in January 3 and 3 ∙ 215−1 in January
15. It is 3 ∙ 214 = 3 ∙ 1024 ∙ 24 = 1024 ∙ 48 = 𝟒𝟗𝟏𝟓𝟐. Hardly possible

4. Her salary will be an arithmetic progression with the common difference of 100 (OMR),
i.e. it will be ...


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