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There are $640 available to build a fence around a rectangular garden. One side must be reinforced and will cost $12 per foot. The other three sides can be built for $4 per foot. Find the dimensions of the largest possible garden which can be built under these constraints.
A $17,720 used car can be purchased with $960 down, the balance plus a 14.50% add-on interest rate to be paid in 48 monthly installments. Find the monthly payment, rounded to the nearest dollar.
What is the limit definition of derivative? How can we use it to find a derivative?
One of the 4 bus drivers is also randomly selected. Let Y denote the number of students on his bus. Compute the expectations of X and Y.
ased upon statistical studies it has been found that 3.32% of all births in the United States will result in twins being born. If 17,300 births are selected at random what is the probability that: Find the Probability of Twin Births
In a school of 420 students, 147 students are in the band, 245 students are on sports teams, and 63 participate in both activities. How many students do not participate in band or sports?
Find the volume of the solid bounded by the cylinder y^2 + z^2 = 4 and the planes x = 2y, x = 0, z = 0 in the first octant. Calculate the double integral by using two iterated integrals with different orders of x and y integration. Do not use pola..
compute the work required to compress a spring 3 more cm when it is already compressed 2 cm, assuming that the spring constant is k + 150 kg/s^2
a regular pentagon with perimeter 75m , find the area of the regualr pentagon.
During the first part of a trip, a canoeist travels 43 miles at a certain speed. The canoeist travels 21 miles on the second part of the trip at a speed 5 mph slower. The total time for the trip is 5 hours. What was the speed on each part of the t..
Formulate the above as linear programming problem. Solve (a) by graphical method. Solve using simplex method.
Write a function for your profits for each price you charge. This is done by multiplying (P-.5) times your function (y= -100x + 250). I.e. if your function is Cups Sold = 1000 - 100P, your profit function would be (P - .5)*(1000 - 100P).
A snake slides through a long cylindrical hole in the ground at 6 centimetres per second. The hole is 7.5 metres in length. The snake takes 14 seconds to enter the hole. How many seconds does the snake take to exit the hole after entering it?
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