College Algebra MATH 107 Spring, 2018, Alt1 MATH 107 FINAL EXAMINATION This is an open-book exam. You may refer to your text and other course materials as you work on the exam, and you may use a calculator. You must complete the exam individually. Neither collaboration nor consultation with others is allowed. Record your answers and work on the separate answer sheet provided.

There are 30 problems. Problems #1–12 are Multiple Choice. Problems #13–21 are Short Answer. (Work not required to be shown) Problems #22–30 are Short Answer with work required to be shown. MULTIPLE CHOICE 1. Determine the domain and range of the piecewise function.

1. ______ A. Domain [–0.5, 1]; Range [0, 1] B. Domain [–2,2]; Range (–∞, 1] C. Domain [–3, 1]; Range [–3, 3] D. Domain [–3, 3]; Range [–3, 1] 2.

Solve: 2 6 3x x− = − 2. ______ A. No solution B. 5 C. 3 D. 3, Vlad Text Box 2021.03v1.3 Vlad Pencil College Algebra MATH 107 Spring, 2018, Alt1 A. (– 4, –1.2) B. (–∞, – 4) and (1, ∞) C. (–∞, –2) D. (– 5.5, –.

Determine whether the graph of 5y x= − is symmetric with respect to the origin, the x-axis, or the y-axis. 4. ______ A. symmetric with respect to the y-axis only B. symmetric with respect to the x-axis only C. symmetric with respect to the origin only D. not symmetric with respect to the y-axis, not symmetric with respect to the x-axis, and not symmetric with respect to the origin 5. Solve, and express the answer in interval notation: | 8 – 6x | ≥ 2. 5. ______ A. (–∞, 5/3] ∪ [1, ∞) B. [1, ∞) C. [1, 5/3] D. (–∞, 1] ∪ [5/3, ∞) Vlad Highlight Vlad Highlight Vlad Highlight Vlad Highlight Vlad Highlight Vlad Highlight Vlad Highlight Vlad Highlight Vlad Text Box 2021.03v1.3 Vlad Pencil College Algebra MATH 107 Spring, 2018, Alt1 A.

B. C. D. Vlad Text Box 2021.03v1.3 Vlad Pencil College Algebra MATH 107 Spring, 2018, Alt1 the point (–14, 3). 7. ______ A.

7 95y x= − − B. y x= − + C. y x= + D. y x= + 8. Which of the following best describes the graph? 8. ______ A. It is not the graph of a function. B.

It is the graph of a parabolic relation. C. It is the graph of a function and it is one-to-one. D. It is the graph of a function and it is not one-to-one.

Vlad Text Box 2021.03v1.3 Vlad Pencil College Algebra MATH 107 Spring, 2018, Alt1 A. log(5 ) log( 1) y x + B. 5 log 1 y x     +  C. ( )log 5 y x− D. 5 1 log 1 y x +    +  10. Which of the functions corresponds to the graph? 10. ______ A. ( ) 1xf x e−= + B. ( ) 2xf x e−= + C. ( ) 2xf x e= + D. ( ) 2xf x e= − + Vlad Text Box 2021.03v1.3 Vlad Pencil College Algebra MATH 107 Spring, 2018, Alt1 Which of the following statements MUST be true?

11. ______ A. f (0) does not exist. B. f (x) > 0 for all x in the domain of f. C. The equation f (x) = 0 has no real-number solution. D.

The graph of f is a horizontal line. 12. The graph of y = f (x) is shown at the left and the graph of y = g(x) is shown at the right. (No formulas are given.) What is the relationship between g(x) and f (x)? 12. ______ y = f (x) y = g(x) A. g(x) = f (x + 2) – 5 B. g(x) = f (x + 5) – 2 C. g(x) = f (x – 5) – 2 D. g(x) = f (x – 2) – Vlad Text Box 2021.03v1.3 Vlad Pencil College Algebra MATH 107 Spring, 2018, Alt1 SHORT ANSWER: 13. Multiply and simplify: (7 + 5i)(1 + 2i).

Write the answer in the form a + bi, where a and b are real numbers. Answer: ________ 14. Solve, and write the answer in interval notation: x x + ≤ − . Answer: ________ 15. A bowl of soup at 170° F. is placed in a room of constant temperature of 60° F.

The temperature T of the soup t minutes after it is placed in the room is given by T(t) = 60 + 110 e – 0.075 t Find the temperature of the soup 12 minutes after it is placed in the room. (Round to the nearest degree.) Answer: ________ 16. Find the value of the logarithm: 7 1 log 49       . Answer: ________ 17. Solve: x − = . Answer: ________ 18.

Suppose ,000 is invested in an account at an annual interest rate of 5.5% compounded continuously. How long (to the nearest tenth of a year) will it take the investment to double in size? Answer: ________ 19. Let f (x) = x 2 −−−− 12x + 27. (a) Find the vertex. Answer: ________ (b) State the range of the function.

Answer: ________ (c) On what interval is the function increasing? Answer: ________ Vlad Text Box 2021.03v1.3 Vlad Pencil College Algebra MATH 107 Spring, 2018, Alt1 P x x x x x x x x x= − + + − = + − − − (a) Which sketch illustrates the end behavior of the polynomial function? Answer: ________ (b) State the zeros of the function. Answer: ________________ (c) State the y-intercept. Answer: ________________ (d) State which graph below is the graph of P(x).

Answer: ________ GRAPH A GRAPH B GRAPH C GRAPH D A. B. C. D. vvvv vvvv vvvv vvvv Vlad Text Box 2021.03v1.3 Vlad Pencil College Algebra MATH 107 Spring, 2018, Alt1 x f x x − = − . (a) State the domain. Answer: _________________ (b) State the vertical asymptote(s).

Answer: _________________ (c) State the horizontal asymptote. Answer: _________________ (d) Which of the following represents the graph of x f x x − = − ? Answer: ______________ GRAPH A. GRAPH B. GRAPH C.

GRAPH D. Vlad Text Box 2021.03v1.3 Vlad Pencil College Algebra MATH 107 Spring, 2018, Alt1 SHORT ANSWER, with work required to be shown, as indicated. 22. Let f (x) = x – 9 and 7)( += xxg . (a) Find )3(−      g f . Show work. (b) Find the domain of the quotient function g f .

Explain. 23. Points (–1, 2) and (9, 7) are endpoints of the diameter of a circle. (a) What is the length of the diameter? Give the exact answer, simplified as much as possible. Show work. (b) What is the center point C of the circle? (c) Given the point C you found in part (b), state the point symmetric to C about the y-axis.

24. Find the equation for a line which passes through the points (1, 4) and (3, –6). Write the equation in slope-intercept form. Show work. 25.

A salesperson earns a base salary of

College Algebra Math 107 Spring 2018 Alt1page 1 Of 11math 107 Fi

College Algebra MATH 107 Spring, 2018, Alt1 MATH 107 FINAL EXAMINATION This is an open-book exam. You may refer to your text and other course materials as you work on the exam, and you may use a calculator. You must complete the exam individually. Neither collaboration nor consultation with others is allowed. Record your answers and work on the separate answer sheet provided.

There are 30 problems. Problems #1–12 are Multiple Choice. Problems #13–21 are Short Answer. (Work not required to be shown) Problems #22–30 are Short Answer with work required to be shown. MULTIPLE CHOICE 1. Determine the domain and range of the piecewise function.

1. ______ A. Domain [–0.5, 1]; Range [0, 1] B. Domain [–2,2]; Range (–∞, 1] C. Domain [–3, 1]; Range [–3, 3] D. Domain [–3, 3]; Range [–3, 1] 2.

Solve: 2 6 3x x− = − 2. ______ A. No solution B. 5 C. 3 D. 3, Vlad Text Box 2021.03v1.3 Vlad Pencil College Algebra MATH 107 Spring, 2018, Alt1 A. (– 4, –1.2) B. (–∞, – 4) and (1, ∞) C. (–∞, –2) D. (– 5.5, –.

Determine whether the graph of 5y x= − is symmetric with respect to the origin, the x-axis, or the y-axis. 4. ______ A. symmetric with respect to the y-axis only B. symmetric with respect to the x-axis only C. symmetric with respect to the origin only D. not symmetric with respect to the y-axis, not symmetric with respect to the x-axis, and not symmetric with respect to the origin 5. Solve, and express the answer in interval notation: | 8 – 6x | ≥ 2. 5. ______ A. (–∞, 5/3] ∪ [1, ∞) B. [1, ∞) C. [1, 5/3] D. (–∞, 1] ∪ [5/3, ∞) Vlad Highlight Vlad Highlight Vlad Highlight Vlad Highlight Vlad Highlight Vlad Highlight Vlad Highlight Vlad Highlight Vlad Text Box 2021.03v1.3 Vlad Pencil College Algebra MATH 107 Spring, 2018, Alt1 A.

B. C. D. Vlad Text Box 2021.03v1.3 Vlad Pencil College Algebra MATH 107 Spring, 2018, Alt1 the point (–14, 3). 7. ______ A.

7 95y x= − − B. y x= − + C. y x= + D. y x= + 8. Which of the following best describes the graph? 8. ______ A. It is not the graph of a function. B.

It is the graph of a parabolic relation. C. It is the graph of a function and it is one-to-one. D. It is the graph of a function and it is not one-to-one.

Vlad Text Box 2021.03v1.3 Vlad Pencil College Algebra MATH 107 Spring, 2018, Alt1 A. log(5 ) log( 1) y x + B. 5 log 1 y x     +  C. ( )log 5 y x− D. 5 1 log 1 y x +    +  10. Which of the functions corresponds to the graph? 10. ______ A. ( ) 1xf x e−= + B. ( ) 2xf x e−= + C. ( ) 2xf x e= + D. ( ) 2xf x e= − + Vlad Text Box 2021.03v1.3 Vlad Pencil College Algebra MATH 107 Spring, 2018, Alt1 Which of the following statements MUST be true?

11. ______ A. f (0) does not exist. B. f (x) > 0 for all x in the domain of f. C. The equation f (x) = 0 has no real-number solution. D.

The graph of f is a horizontal line. 12. The graph of y = f (x) is shown at the left and the graph of y = g(x) is shown at the right. (No formulas are given.) What is the relationship between g(x) and f (x)? 12. ______ y = f (x) y = g(x) A. g(x) = f (x + 2) – 5 B. g(x) = f (x + 5) – 2 C. g(x) = f (x – 5) – 2 D. g(x) = f (x – 2) – Vlad Text Box 2021.03v1.3 Vlad Pencil College Algebra MATH 107 Spring, 2018, Alt1 SHORT ANSWER: 13. Multiply and simplify: (7 + 5i)(1 + 2i).

Write the answer in the form a + bi, where a and b are real numbers. Answer: ________ 14. Solve, and write the answer in interval notation: x x + ≤ − . Answer: ________ 15. A bowl of soup at 170° F. is placed in a room of constant temperature of 60° F.

The temperature T of the soup t minutes after it is placed in the room is given by T(t) = 60 + 110 e – 0.075 t Find the temperature of the soup 12 minutes after it is placed in the room. (Round to the nearest degree.) Answer: ________ 16. Find the value of the logarithm: 7 1 log 49       . Answer: ________ 17. Solve: x − = . Answer: ________ 18.

Suppose $8,000 is invested in an account at an annual interest rate of 5.5% compounded continuously. How long (to the nearest tenth of a year) will it take the investment to double in size? Answer: ________ 19. Let f (x) = x 2 −−−− 12x + 27. (a) Find the vertex. Answer: ________ (b) State the range of the function.

Answer: ________ (c) On what interval is the function increasing? Answer: ________ Vlad Text Box 2021.03v1.3 Vlad Pencil College Algebra MATH 107 Spring, 2018, Alt1 P x x x x x x x x x= − + + − = + − − − (a) Which sketch illustrates the end behavior of the polynomial function? Answer: ________ (b) State the zeros of the function. Answer: ________________ (c) State the y-intercept. Answer: ________________ (d) State which graph below is the graph of P(x).

Answer: ________ GRAPH A GRAPH B GRAPH C GRAPH D A. B. C. D. vvvv vvvv vvvv vvvv Vlad Text Box 2021.03v1.3 Vlad Pencil College Algebra MATH 107 Spring, 2018, Alt1 x f x x − = − . (a) State the domain. Answer: _________________ (b) State the vertical asymptote(s).

Answer: _________________ (c) State the horizontal asymptote. Answer: _________________ (d) Which of the following represents the graph of x f x x − = − ? Answer: ______________ GRAPH A. GRAPH B. GRAPH C.

GRAPH D. Vlad Text Box 2021.03v1.3 Vlad Pencil College Algebra MATH 107 Spring, 2018, Alt1 SHORT ANSWER, with work required to be shown, as indicated. 22. Let f (x) = x – 9 and 7)( += xxg . (a) Find )3(−      g f . Show work. (b) Find the domain of the quotient function g f .

Explain. 23. Points (–1, 2) and (9, 7) are endpoints of the diameter of a circle. (a) What is the length of the diameter? Give the exact answer, simplified as much as possible. Show work. (b) What is the center point C of the circle? (c) Given the point C you found in part (b), state the point symmetric to C about the y-axis.

24. Find the equation for a line which passes through the points (1, 4) and (3, –6). Write the equation in slope-intercept form. Show work. 25.

A salesperson earns a base salary of $2,200 per month and a commission of 6.8% on the amount of sales made. If the salesperson has a paycheck of $3,872.80 for one month, what was the amount of sales for the month? Show work. 26. Let f (x) = 3x 2 + 8 and g(x) = x – 4. (a) Find the composite function ))(( xgf ο and simplify.

Show work. (b) Find ( ) ( 1)f g −o . Show work. 27. Find the exact solutions and simplify as much as possible: 9x 2 + 10 = 20x. Show work.

28. Given the function f x x= + , find a formula for the inverse function. Show work. Vlad Text Box 2021.03v1.3 Vlad Pencil College Algebra MATH 107 Spring, 2018, Alt1 dollars) is given by P(x) = –0.001 x 2 + 3.2x – 1250 (a) What is the company’s profit if 900 donuts are made daily? (b) How many donuts should be made daily in order to maximize the company’s profit? Show work.

30. Solve: x x x + + = + − . Show work. Vlad Text Box 2021.03v1.3 Vlad Pencil Dr. Humoud AlMutairi Principles of Risk Management and Insurance FIN: 361 Department of Economic and Finance Principle of Risk Management and Insurance, fall 2020 FIN: 361 Project assignment The assignment is individual assignment and this assignment as practical assignment you need to contact with the local insurance company via ( telephone call, email, website, …. ), and try to meet the assignment requirement and link that in what we learn from the course and apply it in your project assignment, the assignment worth (10%) out overall grade.

The assignment should be at least five pages to seven pages long. ( Not that you can start your project assignment from the first day ).[footnoteRef:1] [1: You may start your project from the first day it is building block assignment for instant after we cover the chapter you may work parallel with your project assignment.] I. The requirement for the assignment: A. Date of Incorporation B. Commencement of Business C. Authorized Capital D.

Pre – IPO Paid up Capital E. Paid up capital F. Number of employees G. Give an example of Loss ratio of the company H. Expect ratio of the company II.

Describe the principle product or services of the insurance company provide. III. Conduct a financial ratio analysis for the past three years. Choose a benchmark to compare the financial ratios. Example: A.

Current Ratio = Current Assets / Current Liabilities B. Loss Ratio = Net Claim Paid / Net Premium C. Expense Ratio = underwriting Expenses / Net Premium D. Combined Ratio = Loss Ratio + Expanse Ratio E. Return on Revenue = Net operating Income / Total Revenue F.

Return on Assets = Net Income / Total Asset G. Return on Equity = Net Income / Total Shareholder’s Equity H. Investment Yield = Investment / Investment Income I. Debt to Equity Ratio = Total Debt / Total Equity Or J. Debit to Equity Ratio = Total Liabilities / Total Shareholder’s Equity IV.

Conclusion: In conclusion you need to see how the insurance company work ( In times of a pandemic ), also conclude with an assessment of the overall performance of the Insurance Company. How well do you think this company is performing overall? Make your recommendations. 3

,200 per month and a commission of 6.8% on the amount of sales made. If the salesperson has a paycheck of