One evening 1400 concert tickets were sold for the Fairmont Summer Jazz Festival. Tickets cost $20 for covered pavilion seats a
nd $15 for lawn seats. Total receipts were $24,000. How many tickets of each type were sold?
1 answer:
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Answer:
96 ft²
Step-by-step explanation:
The general formula for the surface area of a pyramid is:
SA = pl + B, were p = the perimeter of the base, l = the slant height and B = the area of the base
Since the area of the base is 36 ft², then each side is √36, or 6 ft. The perimeter is the sum of all the sides, so 6 x 4 = 24 ft.
Given the overall height of the pyramid is 4 feet, you can use the Pythagorean Theorem (a² + b² = c²) to find the slant height (hypotenuse) of the pyramid. Using 3 feet for 'a' and 4 feet for 'b':
3² + 4² = c² or 9 + 16 = 25
25 = c² or c = 5
SA = (24)(5) + 36
SA = 60 + 36 = 96 ft²
Let the average profit or loss in year 2006 be x millions,
The average profit for the 8-year period, is the total sum of the profits (or losses) of each year, divided by 8:
so we have:
x=8-10.45=-2.45
Answer: the loss in 2006, was 2.45 million dollars
The average profit for the 8-year period, is the total sum of the profits (or losses) of each year, divided by 8:
so we have:
x=8-10.45=-2.45
Answer: the loss in 2006, was 2.45 million dollars