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1. A rectangular field is going to be enclosed and divided into two separate rectangular areas. (The areas do not have to be equal.) Find the minimum fencing that is required if the total area of the field is 1200 m2.
2. A closed cylindrical container needs to have a volume of 128pie dm3. Find the dimensions if the total area must be a minimum.
3. A rectangular storage box has a base that is three times as long as it is wide. The top is made of a material that costs 35 times the price per square meter of the material used for the rest of the box. Find the dimensions that would be necessary to ensure the minimal cost if the volume of the box must be 3 m3.
4. The Meal Group Caterer finds that competitors cater lunch for a group of 100 people for $5 each. The manager of Meal Group Caterer calculates that for each 25 cent discount per lunch, it is possible to sell an additional 10 lunches. If each lunch costs Meal Group Caterer $2 to prepare, how many lunches should be prepared to maximize the profit?
Find the vertices, foci, length of the major axis and length of the minor axis of the elipse ((x-1)^(2))/(4)+((y-2)^(2))/(9)=1
If an object is propelled upward from a height of 96 feet at an initial velocity of 80 feet per sec, then its height after t seconds is given by the equation h=-16t2+80t+96 where h is in feet. after how many seconds will the object reach a height ..
e 0.03. A sample of 9 players is selected at random. What is the probability that the sample contains no defective units? (Round your answer to four decimal places.)
An airplane is flying at an altitude of 8.4 miles towards a point directly over an observer. If the speed of the plane is 521 miles per hour, find the rate at which the angle of observation,θ,changing by at the moment when the angle is 27 degrees
Find a linear model for the data algebraically (using the first and last points from the table). Let N represent the number of tax returns made through e-file and let t = 0 correspond to 2000. (Round the slope to two decimal places and the y-inter..
Find a formula for the population at any time after the initial population was established. type an exact answer in simplified form.
A farmer wants to fence o a rectangular ?eld and then divide the ?eld in half with a fence down the middle (see diagram below). If he can only a ord 240 ft. of fencing material, what is the width y which gives the maximum area of the ?eld?
find the simplified expression of revenue from the given data.a store has been selling 200 dvd players per week at 450
Use Cramer's rule to find the market equilibrium prices for each of these goods. Please show step by step.
What is the probability that two randomly selected 40-year-old females will live to be 41 years old? What is the probability that five randomly selected 40-year old females will live to be 41 years old?
a cable bangs between iwo poles of equal hoolt and 22feet apart. set up a coordinate systern where the poles are placed
You purchased 300 shares of Deltona, Inc. stock for $44.90 a share. You have received a total of $630 in dividends and $14,040 in proceeds from selling the shares. What is your capital gains yield on this stock?
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