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A state operates a weekly lottery where the jackpot starts at 100,000 and grows each week until a winning ticket is purchased. The state reclaims some of the lottery winnings by way of a tax on those winnings. If w is the size of the winning jackpot (in dollars), then the corresponding tax is T(w)=.02w^1.2 dollars.
1. Suppose that one week the jackpot is 2,000,000. If a winning ticket is sold, then what are the net winnings, to the nearest dollar?
2. Given a jackpot of 2,000,000, calculate the marginal after-tax winnings. Label Appropriately.
3. Is there a jackpot size where the marginal after-tax winnings changes from positive to negative? If so, find that jackpot size (to the nearest dollar) and explain what is significant (in terms of winnings) about that jackpot size. If no such jackpot size exists, then explai why.
determine the percentage of women whose pregnancies are between 257 and 277 days
1. Find the following limit without using a graphing calculator or making a table.
How are they different? Find a problem in the text that is similar to examples 2, 3, and 4. Post the problem for your classmates to solve.
The pillars of the World II memorial in Washington D.C; are 17 feet tall. A scale model of the memorial has pillars that are 5 inches tall. What is the scale of the model?
In Lake Mille Lax, a walleye (type of freshwater fish) must be less than or equal to 20 inches or longer than or equal to 28 inches for the fish to be considered a keeper. Choose the combined inequality that describes this scenario.
A man with a tibia length of 40 cm long should be about 176 cm tall, and a man with a 44 cm long tibia should be 188 cm tall. By letting x represent the length of the tibia and y the height of the person; write and equation of a line relating the ..
consider the data points (1,9) (2,8) (3,6) and (4,3). Find the straight line that provides the best least-squares fit to these data.
Is there sufficient evidence to support the claim that women in the different age categories have different mean blood pressure levels? Give reasons for your decision.
Olivia drove x km at 60km/h and then twice as far at 80km/h. In terms of x, how many hours did the trip take? Give the answer in simplest form.
Ultimately you decide upon a simple random sample of 90 theatres. Use this data to:
32 feet per second squared 2 (the gravitational acceleration at the Earths surface). What is the greatest height that the stone reaches, and when does it reach that height?
This function models the amount of daylight in Boston when t records the day of the year. How much daylight is there for t=1, t=365/2, t = 35?
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