(i) The rectangle has dimensions x meters by y meters
The total perimeter of this area is and its area is
(ii)
So
So
Thus,
So
The dimensions of the piece of land are
5Estate Planning. The Town Council decides to set aside a rectangular piece of land, x m by y m, ...
Hector is building a rectangular shaped dog pen. One side will be the east side of his house and the other three sides will be a mesh fencing that costs $7.25 per foot. He wants the enclosed area to be 4000 square feet. He will also need four corner posts costing $8.50 each. a. Let x be the side of the dog pen that is perpendicular to his house. Write a function C(x) for the cost of the materials for...
II. Now consider the following model and answer related questions. Y-C+I+G+X-IM C- 49+0.9DI 1-300-2000r G-800 T-10+1/3(Y) X-IM = 60 a. If fed decides to set the interest rate at r = 0.05, how much will be the equilibrium GDP? b. At that rate how much is budget deficit or surplus? c. By how much GDP will change if govermment cuts tax rate from 1/3 to 0.20 and at the same time the Fed raises the interest rate from 0.05 to...
1. (2 marks) If y = 3x and x changes from 1.2 to 2.5: a) What is the average change in y? b) What is the instantaneous rate of change in y when x = 2.0? 2. (2 marks) The value "V" (in dollars) of a new laptop t years after it is purchased is given by the function: V(t) = 899.95e -0.71 a) What is the average rate of change of the value during the first two years? Round...
How to solve #7 Suppose that /(x,y)=(x+y2)3. Find s. and at the port az) , supportait atturbanco nennt.yoy, tindhaw.th.he%.anda 7. in a certain suburban community, commuters have the choice of geting into the ity by bus or train. The demand for these modes of transportation variles with their cost Let /(P.,P) be the number of people who will take the train when p, i the price of the bus ride and py is the price of the train ride. Would...
Need help with problems 1) b) ii), 2) b) and c), and 3) c) please! MAT All about Given a general line y mx + b, convert to polar coordinates and solve for r. Check your answer with Desmos (add sliders for b, m). 1) a) rG b-mccre)- r -mces =Fcese, y=rtnb rsin6= mreese +h int-mr b Assume m<0 so that the line, the y-axis, and x-axis enclose a triangular area: b) Area e Xheigh) Use geometry to determine a...