Concept explainers
During the 1980s the controversial economist Arthur Laffer promoted the idea that tax increases lead to a reduction in government revenue. Called supply-side economics, the theory uses functions such as
This function models the government tax revenue. f(x), in tens of billions of dollars, in terms of the tax rate, x. the graph of the function is shown, It illustrates tax revenue decreasing quite dramatically as the tax rate increase. At a tax rate of (gasp) 100%. the government takes oil our money and no one has an incentive to work. With no income earned, zero dollars in fox revenue is generated.
Use function f and its graph to solve Exercises 55-56
a. Find and interpret f(30). Identify the solution as a point on the graph. of the function.
b. Rewrite the function by using long division to perform
Then use this new form of the function to find f(30). Do you obtain the same answer as you did in part (a)?
c. is fa polynomial function? Explain your answer.
Want to see the full answer?
Check out a sample textbook solutionChapter 3 Solutions
COLLEGE MATH.CUSTOM BDL W/ MML
- Question 14 (1 point) Listen The frame on a picture is 18 in by 22 in outside and is of uniform width. Using algebraic methods, what is the width of the frame if the inner area of the picture shown is 250 in²2? Write answer to 2 decimal places. (Write the number with no units). 18 in Your Answer: 22 inarrow_forward◄ Listen A vacant lot is being converted into a community garden. The garden and a walkway around its perimeter have an area of 560 square feet. Find the width of the walkway (x) if the garden measures 15 feet wide by 19 feet long. Write answer to 2 decimal places. (Write the number without units). X 15 feet Your Answer: 19 feet Xarrow_forwardListen A stuntman jumps from a roof 440 feet from the ground. How long will it take him to reach the ground? Use the formula, distance, d = 16t2, (where t is in seconds). Write answer to 1 decimal place. (Write the number, not the units). Your Answer:arrow_forward
- Solve using the quadratic equation formula 4x² + 12x=-6 ○ a) -12±√√3 2 b) -3±√15 -3+√15 2 ○ c) c) -3±√√√3 2 d) -3±√3 8arrow_forwardListen Solve the quadratic equation by factoring. One solution is 0. Find the other. 2x² + 16x = 0 Your Answer: Answerarrow_forwardSolve x²+4x-45 = 0 ○ A) -9,5 ☐ B) -15, 3 C) -3,15 D) -5,9arrow_forward
- Solve 3x² + 2x-5=0 О ○ A) 3,- 11/1 ○ B) 1,- 5/35 5 Oc)-1, 33 ○ D) 1, - 3/3arrow_forwardFactor the polynomial completely. x^2- 9 A) (x - 1)(x -9) B) (x - 3)(x + 3) c) (x -3)(x-3) D) (x + 3)(x + 3)arrow_forwardDirections: Use the equation A = Pet to answer each question and be sure to show all your work. 1. If $5,000 is deposited in an account that receives 6.1% interest compounded continuously, how much money is in the account after 6 years? 2. After how many years will an account have $12,000 if $6,000 is deposited, and the account receives 3.8% interest compounded continuously? 3. Abigail wants to save $15,000 to buy a car in 7 years. If she deposits $10,000 into an account that receives 5.7% interest compounded continuously, will she have enough money in 7 years? 4. Daniel deposits $8,000 into a continuously compounding interest account. After 18 years, there is $13,006.40 in the account. What was the interest rate? 5. An account has $26,000 after 15 years. The account received 2.3% interest compounded continuously. How much was deposited initially?arrow_forward
- Holt Mcdougal Larson Pre-algebra: Student Edition...AlgebraISBN:9780547587776Author:HOLT MCDOUGALPublisher:HOLT MCDOUGALCollege Algebra (MindTap Course List)AlgebraISBN:9781305652231Author:R. David Gustafson, Jeff HughesPublisher:Cengage Learning
- Big Ideas Math A Bridge To Success Algebra 1: Stu...AlgebraISBN:9781680331141Author:HOUGHTON MIFFLIN HARCOURTPublisher:Houghton Mifflin HarcourtGlencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw Hill