A company is constructing an open-top, square-based, rectangular metal tank that will have a volume of 49 cubic feet. What dime
1 answer:
Answer:
b = 4.6 ft
h = 2.3 ft
Step-by-step explanation:
The volume of the tank is given by:
Where 'b' is the length of the each side of the square base, and 'h' is the height of the tank.
The surface area can be written as:
The value of b for which the derivate of the expression above is zero is the value that yields the minimum surface area:
The value of h is then:
Rounded to the nearest tenth, the dimensions are b = 4.6 ft and h = 2.3 ft.
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Answer:
To raise exactly $240, the charity needs to sell 20 snacks.
Step-by-step explanation:
Let
s = number of seats sold
y = number of snacks sold
Seats cost $24 each, then s seats cost $24s.
Snacks cost an additional $6 each, then y snacks cost $6y.
In total, s seats and y snacks cost $(24s+6y).
The charity needs to raise $240 to consider this event a success, so
If 5 seats are sold, then
To raise exactly $240, the charity needs to sell 20 snacks.
To solve this problem graphically, plot the graph of the line and find on this line point with s-coordinate 5. This is exactly point (5,20), so the charity needs to sell 20 snacks.
