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A silo is to be made in the form of a cylinder surmounted by a hemisphere. The cost of construction per square foot of surface area is twice as great for the hemisphere as for the cylinder. Determine the dimensions to be used if the volume is fixed and the cost of construction is to be a minimum. Neglect the thickness of the silo and waste in construction.
A plane travels 170 miles on a bearing of N 18 degrees E and then changes its course to N 49 degrees E and travels 120 mi . find the total distance traveled north and the east.
A plane flying horizontally at an altitude of 2 mi and a speed of 540 mi/h passes directly over a radar station. Find the rate at which the distance from the plane to the station is increasing when it is 5 mi away from the station. (Round your ans..
An office manager has four employees and nine reports to be done. In how many ways can the reports be assigned to the employees so that each employee has at least one report to do.
An absent-minded nurse is to give Mr. Brown a pill each day. The probability that the nurse forgets to administer the pill is 2/3. If he receives the pill, the probability that Mr. Brown will die is 1/3.
A rancher plans to set aside a rectangular region of 1 square km for horses. A wooden fence encloses the area, and the side along a highway will cost 3 times as much per sq meter as the other sides to fence. Find the dimensions to minimize cost.
Shirley Cicero has $16,000 invested in Boeing and GE stock. The Boeing stock currently sells for $30 per share and the GE stock for $70 per share. If GE stock triples its value and the Boeing stock goes up 50%, her stock will be worth $34,5000. Ho..
A plane flying horizontally at an altitude of 6 mi and a speed of 490 mi/h passes directly over a radar station. Find the rate at which the distance from the plane to the station is increasing when it is 8 mi away from the station.
A mini license plate for a toy car must consist number followed by two letters. Each letter must must be a C, A or R. Each number must be a 3 or 7 Repetition of letters is permitted. License plate sample space and probability
Biologists have noticed that the chirping of crickets of a certain species is related to temperature, and the relationship appears to be very nearly linear. A cricket produces 115 chirps per minute at 67 degrees Fahrenheit and 176 chirps per minut..
The differentiation
Calculate the break-even product value of using Express Mail (overnight delivery) versus Parcel Post (three-day delivery) for sending a package from Peoria, Illinois to Memphis, Tennessee.
The Four Stars has aftertax income of $62,000 for the year just ended. The company has a residual dividend policy and a target debt-equity ratio of .5. The firm wants to invest $89,000 in a new project. How much new borrowing will be required?
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