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You are a contestant in the game show "Let's make a Deal." In this game show, there are three curtains. Behind one of the curtains is a new car, and behind the other two are cans of spam. You get to pick one of the curtains. After you pick that curtain, the emcee, Monte Hall, who we assume knows where the car is, reveals what is behind one of the curtains that you did not pick, showing you some cans of spam. He then asks you if you would like to switch your choice of curtain. Should you switch? Why or why not? Please answer this question carefully. You have all the tools needed to answer it, but several math Ph.D.'s are on record (in Parade Magazine) giving the wrong answer.
The altitude of a triangle is increasing at a rate of while the area of the triangle is increasing at a rate of At what rate
The consumer price index for a new car in 1990 was 110.2, and in 1995 it was 136.5. If the price of the car was $12,880 in 1990, what was the price in 1995?
To find the interval of definition look for points where the intergral curve has a vertical tangent.
Suppose that 520 ft of fencing is used to enclose a corral in the shape of a rectangle with a semicircle whose diameter is a side of the rectangle. (In the blue outline represents the fencing.) Find the dimensions of the corral with maximum area.
A building is 479 feet tall. For a class project, Kari is to make a scale model of the building to place in the front hall display case. The display case is 21 inches tall. Which scale will allow her to make the tallest model that will fit in the ..
Jill's father bought Jill a car with the understanding that she would pay the car off in four years by making equal monthly installments. The car cost her father $5000 plus 9% sales tax. How much are the monthly payments Jill must make to her fath..
Drum Tight Containers is designing an open-top, square-based, rectangular box that will have a volume of 171.5 in3. What dimensions will minimize surface area? What is the minimum surface?
1. At what interest rate will it take $3000 to grow to $24,000 in an account that earns interest compounded monthly for 20 years? 2. Alice invests $10,000 in an account that earns 8% simple interest annually. What is the value of the account after..
Vasudevan Inc. recently reported operating income of $4.30 million, depreciation of $1.20 million, and had a tax rate of 40%. The firm's expenditures on fixed assets and net operating working capital totaled $0.6 million. How much was its free cas..
1)a minor leagues basketball park has 7000 seats. box seats cost $6, grandstand seats cost $4, and bleacher seats cost $2. when all seats are sold, the revenue is $26,4000. if the number of box seats is one-third the number of bleacher seats, how man..
at the close of business a store owner had 505 in 5 and 10 dollar bills in the cash register. if there was a total of
find the equation of the tangent line to the curve f(x)=4/(5x + 7) at the point (-1.2). (use the definition of derivative (not short cut) to find f'(x))
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