MAT 120 Test 1 May 20, 2013 (4:00 4:50 PM)

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Norman Black
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1 Name: Academic Integrit Signature: I have abided b the UNCG Academic Integrit Polic. Read all of the following information before starting the eam: It is to our advantage to answer ALL of the 0 questions. It is our responsibilit to make sure that ou have all of the problems. There is no need to complete the test in order. The problems are independent. Budget our time! Page: 1 5 Total Points: Score:

2 1. (5 points) Solve 10 apple ( ) for. A. { } B. { apple } C. { } D. { apple }. (5 points) Find the slope of the graph of the equation =. A. B. C. D.. (5 points) Which of the following lines pass through the points (, 1) and (, )? A. = ( ) + 1 B. = ( +1)+1 C. =( +) D. = ( 1) + 5. (5 points) A cost analsis b XYZ computer corporation has determined that the incur fied costs of $000 per da to run the factor and variable costs of $100 per computer assembled. Assuming the cost function C() is linear,determine its equation,i.e.,determine the cost of manufacturing computers per da. A. C() = B. C() =000 C. C() =100 D. C() = Page 1 of Points earned: out of 0.

3 5. (5 points) Find the domain of the function f() = A. { = 1} B. { = } C. { = 0} D. { = 1} +1.. (5 points) A computer chip manufacturer has determined the following price-demand function p =1, where p is the unit price when demand is chips. Find the price the should charge for their processors in order to maimize revenue. A. $7 B. $10 C. $5 D. $10 7. (5 points) Find the eact value of in the following epression =log 9 ( 1 ). A. B. C. 1 D. 1. (5 points) Solve =9 for. A. =, B. = C. =, D. = 0 9. (5 points) Income ta. The table below shows a recent NC income ta schedule. If taable income is Over But Not Over Ta Due Is $0 $0,000.5% of taable income $0,000 $0,000 $1,050 plus.5% of ecess over $0,000 $0,000 $,95 plus.5% of ecess over $0,000 Find the ta due for household with income $5,500. A. $1.75 B. $,51.5 C. $1,5.5 D. $,70.5 Page of Points earned: out of 5.

4 10. (5 points) Find the range of the function f() = +. A. { 1} B. { 1} C. { } D. { apple 1} 11. (5 points) Solve + =5for. A. =, B. =, C. =1, D. = 1, E. no (real) solutions 1. (5 points) If $1,000 is invested in an account paing 7% compounded monthl, how much will be in the account at the end of 10 ears? Round to the nearest cent. A. $1,97.15 B. $,01.75 C. $,1.17 D. $ (5 points) You want to retire in 0 ears and ou think ou need about $1 million to do so. How much mone do ou need to put into our stocks toda to have $1 million in 0 ears? You should assume continuousl compounded interest at a interest rate of 11%. Round to the nearest dollar. A. $1,77 B. $15, C. $11,95 D. $,7 1. (5 points) Solve the following equation for log +log ( )=. A. = B. =1 C. = p D. = p. Page of Points earned: out of 5.

5 15. (5 points) Prehistoric cave paintings were discovered in a cave in France. The paint contained % of the original carbon-1. Use the carbon 1 eponential deca model A = A 0 e t to estimate the age of the paintings. A. The paintings are approimatel 10,15 ears old. B. The paintings are approimatel 9,17 ears old. C. The paintings are approimatel ears old. D. The paintings are approimatel,5 ears old. E. The paintings are approimatel,01 ears old. 1. (5 points) Write the following epression as a single logarithm log() 1z A. log 5 B. log (1z) C. log(10 p + z ) z D. log p z E. log 1 log()+log(z). 17. (5 points) The fied costs related to the publication of a book amount to $0, 70. The variable costs are equal to $1.0 for each book produced. The book is sold to the distributors for $1 each. How man books should be produced and sold to break even? Round to the nearest book. A. 075 B. 557 C. 09 D. 75 Page of Points earned: out of 15.

6 1. (5 points) Find the equation having the following graph: A. = + B. = + C. = + D. = (5 points) Find the verte and the minimum value of the quadratic polnomial f() =( 1) +. A. Verte = ( 1, ), minimum value = B. Verte = (1, ), minimum value = C. Verte = (, ), minimum value = 1 D. Verte = (1, ), minimum value = Page 5 of Points earned: out of 10.

7 0. (5 points) Choose the graph of the function = f(), where ( if < 1, f() = if 1. 1 A. 1 B. C. D. Page of Points earned: out of 5.

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