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The banker's discount of a certain sum of money is Rs. 36 and the true discount on the same sum for the same time is Rs. 30. What is the sum due
At 6 AM a snowplow, traveling at a constant speed, begins to clear a highway leading out of town. At 8 AM an automobile begins traveling the highway at a speed of 30 mi/hr and reaches the plow 30 minutes later. Find the speed of the snowplow.
martha makes and sells her own organic dog treats for 15kg for every 1 price increase she will lose sales. her
A boat's crew rowed 12 miles downstream, with the current, in 1.5 hours. The return trip upstream, against the current, covered the same distance, but took 4 hours. Find the crew's rowing rate in still water and the rate of the current.
A ball is thrown into the air by a baby alien on a planet in the system of Alpha Centauri with a velocity of 24 ft/s. Its height in feet after t seconds is given by y=24t-26t^{2}.
Using the graph, how much should be spent on advertising to maximize sales? What is the maximum sales level?
Manuel Dexterity can drag Gil O' Teen across the floor by pulling with a force of 51 pounds. Gil's brother, Nick who weighs twice as much can be dragged across the floor by pulling with a force of 102 pounds.
A ball is thrown vertically upwark with an initial velocity of 48ft/sec and a height of 8ft, then its height s(t) from the ground level at time t is given by.
Consider the function f(x)=10*(x^.5)+8 on the interval [4.6], Find the average or mean slope of the function on this interval.(
a balloon is at a height of 50 meters and is rising at the constant rate of 5 msec. a bicyclist passes beneath it
How can inequalties and equations help a business maximize cot and profit?
Let V be a ?nite-dimensional inner product space over F, and let U be a subspace of V. Prove that the orthogonal complement U⊥ of Uwith respect to the inner product ?⋅,⋅? on V satis?es dim(U⊥)=dim(V)-dim(U).
Let f be a differentiable function on an interval of the form (a, +∞). Prove that if there is a number r not equal to 0 such that limx→∞(rf′(x) + f(x)) = L is finite, then limx→∞ f′(x) = 0 and limx→∞ f(x) = L. Hint: apply L'Hˆopital's Rule to [e..
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