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Write an equation for the number of cups you sell as a function of the price you charge.
Suppose you have a lemonade stand, and when you charge $1 per cup of lemonade you sell 50 cups. But when you raise your price to $2 you only sell 25 cups. Write an equation for the number of cups you sell as a function of the price you charge. Denote "C" for number of cups, and "P" for the price you charge. Assume the function is linear.
An object is thrown upward from the top of a 48 foot building, with an initial velocity of 32 feet per second. The height h of the object after t seconds is given by the quadratic equation h=-16t^2+32t+48. When will the object hit the ground?
If a baseball is projected upward from ground level with an initial velocity of 64 feet per second, then its height is a function of time, given by s(t) = -16t squared + 64t.
The turtle never stopped for a break, but his pace was only 1km/hr. How long will the rabbit run before it catches the turtle?
Expressing the given exponential function as a power series by determining its coefficients.
Modeled the word problem mathematically like system of equations and solve by the matrix method - Determine the augmented matrix that represents the three equations
A rectangle has perimeter 78 feet, and its area is 360 sq-feet. Find the dimensions of this rectangle. (For purposes of this problem only, the width is shorter than the length.)
Small boxes of NutraFlakes cereal arelabeled "net weight 10 ounces." Each hour ,random samples of size n=4 boxes are weighed to check process control. five hours of observations yielded the following:
at what time between 5pm and midnight are the most people listening to the station? what percentage of the population is listening at this time?
Sharon has just retired, and has 1000000 dollars in her retirement account. The account will earn interest at an annual rate of 6 percent, compounded monthly.
A yacht changes course from a bearing of 130 to a bearing 225 what is the smallest angle the yacht could have turned through.
A tourist in France wants to visit 8 different cities. If the route is randomly selected, what is the probability that she will visit the cities in alphabetical order?
Simply supported beam- Maximum bending moment, The bending moment M at position x m from the end of a simply supported beam of length L m carrying a uniformly distributed load of w Kn m-1 is given by
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