# 1st Midterm Econ 300 Fall 2014

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UMD Econ300 midterm fall 2014TRANSCRIPT

Econ300 First Midterm Exam Fall 2014 version A This exam consists of 25 multiple choice questions. The maximum duration of the exam is 50 minutes. 1. In the spaces provided on the scantron, write your last name, then your first name, and also be sure to include university identification number. 2. Also fill in the bubbles below your name and id number. 3. Write your name here: ______________________________________ 4. In the special codes section of the scantron under K write the letter A 5. DO NOT OPEN this exam booklet until you are told to do so and STOP writing when you are told that the exam is over. Failure to comply will result in a 10% loss in the grade. 6. You MUST return this exam booklet with the scantron; otherwise no credit will be awarded. 7. Only the answers you provide on the scantron will be counted towards your grade. But you may also want to record your answers on this booklet, since it will be returned to you next week. 8. Please make sure you use dark pencil marks to indicate your answer; the scantron reader may not give you credit for an answer if it cant detect it. 10. Choose the single best possible answer for each question. You are responsible for upholding the University of Maryland Honor Code while taking this exam. ECON300 first midterm Page 1 of 6 1. Which one is NOT a function on the domain (1,)? A. = 2B. = 1 + 2 C. = 15 D. = 1+2 E. None of the above 2. The function = 2 + 5 is A. Concave B. Convex C. Linear D. All of the above E. None of the above 3. The roots of the equation () = 2 3 are A. {0, 3} B. {0, 13} C. { 3,0} D. {3, 0, 3} E. None of the above 4. Consider the function = 0.40.6 where y is output, K is capital and L is labor. A formula for the isoquant is A. = 5/2/3/2 B. = 2.5/ C. = 4/3 D. = 0.65/ E. None of the above 5. The difference quotient of = 4 + 5 is A. 43 + 5 B. (2 + )2 + 5 C. 43 + 32 + 3()2 + 5 D. 43 + 62 + 4()2 + ()3 + 5 E. None of the above ECON300 first midterm Page 2 of 6 6. Which function is continuous on the domain [1,)? A. = 5 + 2 B. = 2ln (3 + ) C. If > 3, = 22; if 3, = 3 + 9 D. All of the above E. None of the above 7. The function f is convex if and only if A. f is at or above all secant lines B. the average rate of change is decreasing C. for all a, b in domain and in [0,1], ( (1 ) ) ( ) (1 ) ( )f a b f a f b + + D. All of the above E. None of the above 8. You invest $15 at 20% interest with continuous compounding. What is it worth after 4 years? A. $30.64 B. $31.10 C. $31.79 D. $33.38 E. None of the above 9. What is the present value of $200 in 5 years with 15% annual interest compounded yearly? A. $94.47 B. $96.72 C. $99.44 D. $103.28 E. None of the above 10. For 0 < < < 1 and 0 < < 1, what can you say about log ( )a x and log ( )b x ? A. Both functions are convex B. log ( ) log ( )a bx x> C. The slope of log ( )a x is steeper than the slope of log ( )b x at point D. All of the above E. None of the above ECON300 first midterm Page 3 of 6 11. Your mutual fund increased in value from $10 to $40 over the last 7 years. What was the average annual return with continuous compounding for the mutual fund over the 7-year period? A. 12.39% B. 15.92% C. 19.80% D. 23.17% E. None of the above 12. Simplify ln 21+22 A. 1 4 ln B. 2 2ln (1 + 22) C. 2 41+22 D. 1 + 2 E. None of the above 13. How many years does it take for $20 to grow to $50 with 3% interest and annually compounding? A. 34.12 B. 32.65 C. 31.00 D. 30.54 E. None of the above 14. Consider the following system. Supply: = 2 1; Demand: = 4 3. The equilibrium quantity and price are A. (1, $1) B. (2, $3) C. (3, $1) D. (1, $2) E. None of the above 15. Suppose the function has an inverse function 1. Then A. must be strictly increasing B. 1must be strictly decreasing C. (1) 1 must be strictly monotonic D. All of the above E. None of the above ECON300 first midterm Page 4 of 6 16. Suppose () = 3 22. Then A. f is decreasing B. f is decreasing on the domain [0,1] C. f is increasing when < 0 D. f is increasing when > 1 E. None of the above 17. The difference quotient of = 2 is A. 2 1 B. 2 + 1 C. 2 D. 4 2 2 E. None of the above 18. If the difference quotient of is 2 34 + 3 + ()2, then is A. 123 B. 234+3+()2 C. 2 34 D. 6 E. None of the above 19. Total revenue = , where = 5 2. The average rate of change of total revenue is A. 5 2Q Q B. 5 2Q P C. 5 2 2 D. 5 2Q E. None of the above 20. The derivative of () is A. The average rate of change as x approaches to 0 B. 0( ) ( )limxf x x f xx + C. The slope of the tangent line at D. All of the above E. None of the above ECON300 first midterm Page 5 of 6 21. Revenue is () = 4 22. Marginal revenue is A. 2 B. 4 2()2 C. 2 D. 4 4 E. None of the above 22. Let = (22 + 1). The derivative of y is A. 2 B. 1 + 3 C. 62 + 1 D. 2 + E. None of the above 23. Let = 2. The differential of y is A. (2)2 B. 22 C. 2 + D. 22 + E. None of the above 24. Suppose a financial index grows at a continuously compounding rate of 5% for one year. What is the effective rate? A. Exactly 5% B. Less than 5% C. More than 5% D. All of the above E. None of the above 25. Let = 22 3, 0 = 2 and = 3, then the approximated change in using differential is A. 35 B. 2 C. 33 D. 15 E. None of the above ECON300 first midterm Page 6 of 6

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