# 3. One Thousand tickets are sold at $1 each for a color television valued @ $350. What is the expected value of the gain if a person purchases one ticket?
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- For the following exercises, consider this scenario: The profit of a company decreased steadily overa ten-year span.The following ordered pairs show dollars and the number of units sold in hundreds and the profit in thousands ofover the ten-year span (number of units sold, profit) for specific recorded years: (46,250),(48,305),(50,350),(52,390),(54,410). Use linear regression to determine a function y,where the profit in thousands of dollars depends onthe number of units sold in hundreds.For the following exercises, consider this scenario: The profit of a company decreased steadily over a ten-year span.The following ordered pairs show dollars and the number of units sold in hundreds and the profit in thousands ofover the ten-year span (number of units sold, profit) for specific recorded years: (46,250),(48,305),(50,350),(52,390),(54,410). Predict when the profit will dip below the $25,000threshold.When hired at a new job selling electronics, you aregiven two pay options: • Option A: Base salary of $10,000 a year with acommission of 9% of your sales • Option B: Base salary of $20,000 a year with acommission of 4% of your sales How much electronics would you need to sell foroption A to produce a larger income?
- For the following exercises, consider this scenario: The profit of a company increased steadily over a ten-year span. Thefollowing ordered pairs show the number of units sold in hundreds and the profit in thousands of over the ten-yearspan, (number of units sold, profit) for specific recorded years: (46,250),(48,305),(50,350),(52,390),(54,410). Predict when the profit will exceed one milliondollars.For the following exercises, consider this scenario: The profit of a company increased steadily over a ten-year span. Thefollowing ordered pairs show the number of units sold in hundreds and the profit in thousands of over the ten-yearspan, (number of units sold, profit) for specific recorded years: (46,250),(48,305),(50,350),(52,390),(54,410). Use linear regression to determine a function y,where the profit in thousands of dollars depends onthe number of units sold in hundreds.If you perform your break-even analysis and there is more than one solution, explain how you would determine which x-values are profit and which are not.
- For the following exercises, consider this scenario: The profit of a company decreased steadily over a ten-year spam.The following ordered pairs shows dollars and the number of units sold in hundreds and the profit in thousands of over the ten-year span, (number of units sold, profit) for specific recorded years: (46,600),(48,550),(50,505),(52,540),(54,495). Find to the nearest tenth and interpret they-intercept.Refer to the previous exercise. Suppose the lightmeter on a camera indicates an EI of 2 , and thedesired exposure time is 16 seconds. What should thef-stop setting be?Agriculture At a certain vineyard it is found that each grape vine produces about 10 lb of grapes in a season when about 700 vines are planted per acre. For each additional vine that is planted, the production of each vine decreases by about 1 percent. So, the number of pounds of grapes produced per acre is modeled by An=700+n10-0.01n where n is the number of additional vines planted. Find the number of vines that should be planted to maximize grape production.
- In general, explain the end behavior of a powerfunction with odd degree if the leading coefficient ispositive.For the following exercises, consider this scenario: The number of people afflicted with the common cold in the winter months steadily decreased by 205 each year from 2005 until 2010. In 2005, 12,025 people were afflicted. When will the output reach 0?When hired at a new job selling jewelry, you aregiven two pay options: • Option A: Base salary of $17,000 a year with acommission of 12% of your sales • Option B: Base salary of $20,000 a year with acommission of 5% of your sales How much jewelry would you need to sell for optionA to produce a larger income?
