1) A sportswear store sells baseball caps with the local baseball team's logo on them. Last year, the store sold 600 caps at $12 each. The store manager is planning to increase the price. A consumer survey shows that for every $1 increase, there will be a drop of 30 sales a year. Determine the maximum revenue. 2) A rectangular lot is bordered on one side by a stream and on the other three sides by 500 m of fencing. Find the dimensions of the lot if its area is a maximum. 3) Two integers differ by 17 and their product is 60. What are the integers? 4) A triangle has a height of 10cm more than twice the length of the base. If the area of the triangle is 84cm², what are the dimensions of the triangle?
1) A sportswear store sells baseball caps with the local baseball team's logo on them. Last year, the store sold 600 caps at $12 each. The store manager is planning to increase the price. A consumer survey shows that for every $1 increase, there will be a drop of 30 sales a year. Determine the maximum revenue. 2) A rectangular lot is bordered on one side by a stream and on the other three sides by 500 m of fencing. Find the dimensions of the lot if its area is a maximum. 3) Two integers differ by 17 and their product is 60. What are the integers? 4) A triangle has a height of 10cm more than twice the length of the base. If the area of the triangle is 84cm², what are the dimensions of the triangle?
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter4: Quadrilaterals
Section4.4: The Trapezoid
Problem 24E: The state of Nevada approximates the shape of a trapezoid with these dimensions for boundaries: 340...
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Transcribed Image Text:1) A sportswear store sells baseball caps with the local baseball team's logo on them. Last year, the store sold
600 caps at $12 each. The store manager is planning to increase the price. A consumer survey shows that for
every $1 increase, there will be a drop of 30 sales a year. Determine the maximum revenue.
2) A rectangular lot is bordered on one side by a stream and on the other three sides by 500 m of fencing. Find the
dimensions of the lot if its area is a maximum.
3) Two integers differ by 17 and their product is 60. What are the integers?
4) A triangle has a height of 10cm more than twice the length of the base. If the area of the triangle is 84cm², what
are the dimensions of the triangle?
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