-9.500 300 6. Budget planners in two towns, Alphaville and Betaville, developed models to determine the budget surplus (in dollars) for a year based on the tax revenue (in thousands of dollars) for the year. Using historical data, Alphaville's planner produced the model -2x² +500x, while Betaville's planner produced the model x - 100x + 10,000. What expression gives how much greater Alphaville's annual budget surplus is than Betaville's for a particular amount of tax revenue? If the tax revenue that year in each town is $75,000, how much greater is Alphaville's budget surplus than Betaville's that year?

-9.500 300 6. Budget planners in two towns, Alphaville and Betaville, developed models to determine the budget surplus (in dollars) for a year based on the tax revenue (in thousands of dollars) for the year. Using historical data, Alphaville's planner produced the model -2x² +500x, while Betaville's planner produced the model x - 100x + 10,000. What expression gives how much greater Alphaville's annual budget surplus is than Betaville's for a particular amount of tax revenue? If the tax revenue that year in each town is $75,000, how much greater is Alphaville's budget surplus than Betaville's that year?

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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Part 3: Create a visual of your model- Use what you found in parts 1 and 2. Use smiley face stickers for the 30 people and the 100 gold star stickers for the wealth. Asia North America Europe North America South America Europe Africa Oceania Antarctica South America Africa Oceania 57 52
FIND THE ANSWERS FOR B-2 and C. A survey found that Massachusetts residents spent an average of $861.75 on the lottery, more than three times the U.S. average. A researcher at a Boston think tank believes that Massachusetts residents spend less than this amount. He surveys 100 Massachusetts residents and asks them about their annual expenditures on the lottery. (You may find it useful to reference the t table.) Click here for the Excel Data File a. Specify the competing hypotheses to test the researcher’s claim.multiple choice 1 H0: μ ≥ 861.75; HA: μ < 861.75 b-1. Calculate the value of the test statistic. (Negative value should be indicated by a minus sign. Round final answer to 3 decimal places.) -0.863 b-2. Find the p-value.multiple choice 2 p-value < 0.01 0.01 p-value < 0.025 0.025 p-value < 0.05 0.05 p-value < 0.10 p-value 0.10 c. At α = 0.10, what is the conclusion?multiple choice 3 Reject H0; there is insufficient evidence…
What would be the answer to number 2,3,5,6 and, 7?
Stadium View Apartment Complex has 20 apartments to rent. Historical data Trend suggests that any time rent increases by $50.00 per month one apartment becomes vacant. The current rent is $400.00 per month. How many $50.00 increases will enable Stadium View Apartments maximize its total monthly rent revenue?
5. Assume food prices have risen about 4% per year for the last five years. a. If a gallon of milk cost $2 five years ago, what does it cost today? b. If a gallon of milk cost Sx five years ago, write an expression for its cost today. c. If a gallon of milk costs $3.50 now, what did it cost five years ago? Write and solve an equation to answer the question. Let x cost of a gallon of milk five years ago d. Ifmilk prices increase 4% per year for five years, what is the overall percent ncrease
2. Write a program that models a cashier at a store. The program will take two numbers as input. Firstly, the cost of an item ($20.00 or less). Secondly, the amount of money given to the cashier ($20.00 or less). The program should output the change given in 10 dollar bills, 5 dollar bills, 1 dollar bills, quarters, dimes, nickels, or pennies. You should output the highest denominations possible. For example, if the item costs $5.20 and the cashier is given $10 then the change should be 4 dollar bills 3 quarters 1 nickle
40. The population of the United States since 2010 can be estimated by the equation P = 2.761 + 309.37, where P is the population in millions t years since 2010. Source: Based on data from the U.S. Census Bureau. a. What was the population of the United States in 2013? b. In what year, was the population of the United States 326,000,000? c. In what year will the population of the United States reach 375 million?
Page 5 of 6 Date: Name: YouruicKOl Mr. Banks is worried that he was overcharged by the automotive detailing shop when they cleaned his Mustang. He dropped his car off at 9: 00 am and picked it up at 11:00 am. The shop charges $35 per hour for labor together with a one-time $20 supplies fee. 7. Use the verbal model to help you write an equation that models total cost of having a car detailed. a. Cost Number Total One-Time of per Hour/ Supply Fee Cost Hours b. What are the independent and dependent variables? Is this equation in Standard form or Slope-Intercept form? Explain how you can tell. с. If the bill came to $125 for how many hours did Mr. Banks pay? (Use your equation to answer this question.) d. Should Mr. Banks speak to the manager? e.