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1. A 12 foot ladder is leaning against a wall. If the top slips down the wall at a rate of 2 ft/s, how fast will the foot be moving away from the wall when the top is 10 feet above the ground?
2. A kite 50ft above the ground moves horizontally at a speed of 2 ft/s At what rate is the angle between the string and the horizontal decreasing when 200 ft of string has been let out?
what is the value of a stock that is expected to pay a constant dividend of 4 per year if the required return is 15?
A tank of capacity 60KL is to be filled by a hose whose flow is 150 L/minute. If the tap is turned on at 8 am, show the tank will be full between 2.30 pm and 3 pm on the same day. (hint: 1KL = 1000L)
Draw a tree diagram that illustrates the following. Four-fifths of kindergarten children are bussed to school, while one-fifth of the first to fifth graders are bussed.
Problem 1: Given that f (x) = 5x - 7 and g (x) = 5 - x2, calculate
Using the Hamilton method of apportionment, determine the number of seats each state should receive. Using the numbers you just calculated from applying the Hamilton method, determine the average constituency for each state. Explain your decision m..
What type of annuity is a layaway plan?
Show that the tree-order associated with a rooted tree T is indeed a partial order on V(T), and verify the claims made about this partial order in the text. Do the partition classes of a regular bipartite graph always have the same size.Count the edg..
Discuss the locations of the mean, median and mode for a normal, left-skewed and right-skewed distributions.
a city park is shaped like a right triangle with length of one leg twice the length of the other leg. The area is 2500 m2. What are the lengths of the legs?
A train passes a platform in 36 seconds. The same train passes a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, The length of the platform
1 in a poll 37 of the people polled answered yes to the question are you in favor of the death penalty for a person
The slope f'(x) at each point (x, y) on a curve y = f(x) is given along with a particular point (a, b) on the curve. Use this information to find f(x). f'(x)=3x^2+6x-2; (0,6) A: x^3 + 3x^2 - 2x B: x^3 + 3x^2 - 2x + 6 C: x^3 + 3x^2 - 2x + c D: x^3 + 3..
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