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Sharing cost. The members of a flying club plan to share equally the cost of a $200,000 airplane. The members want to find five more people to join the club so that the cost per person will decrease by $2000. How many members are currently in the club?
what is the volume of a rectangular storage facility that is 75ft tall, 80ft wide and 15ft. tall?
Let ubar and vbar be nonzero vectors in 2 or 3 space and let k=||u|| and m=||v||. Show that the vector Wbar=mubar +kvbar bisects the angle between ubar and vbar.
Use Lagrange multipliers to find the maximum and minimum values of the function subject to the given constraints. (If a value does not exist, enter NONE.)
What is the location of someone standing on the first level in relation to someone standing on the third level?
Find the dimensions of a rectangle with area 1000 m2 whose perimeter is as small as possible. (Give your answers in increasing order, to the nearest meter.)
How many relative maximum/minimum points are there? How many absolute max/min points?
A 6 foot tall man is standing near a tree on level ground. If the man's shadow is 4 feet long, how many feet tall is the tree?
a 65-story office tower has a height of 910 feet. write an expression to find the height of each story. Then use the expression to find the height of each story.
How many pizzas would need to sell if you wanted to make a profit greater than $1,595? interpret result.
Conditional Probability: Ball Colour, An urn contains four coloured balls: two orange and two blue. Two balls are selected at random without replacement, and you are told that at least one of them is orange.
Find a trinomial that represents the area of a parallelogram whose base is 3x+2 meters and whose height is 2x+3 meters
the area of an equilateral triangle is decreasing at a rate of 4 cm^2/min. Find the rate at which the length of a side is changing when the area of the triangle is 200 cm."
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