Answer:
P = 21x + 4
Step-by-step explanation:
The perimeter is the length of all the sides added up.
(3x) + (4x + 1) + (2x - 2) + (2x - 2) + (3x + 1) + (4x + 5) + (3x + 1)
3x + 4x + 1 + 2x - 2 + 2x - 2 + 3x + 1 + 4x + 5 + 3x + 1
21x + 1 - 2 - 2 + 1 + 5 + 1
21x + 4
The equation for the perimeter is
P = 21x + 4
Volume a sphere: [4/3]π(r^3)
Space between the spheres = Volume of the larger sphere - Volume of the smaller sphere
= [4/3]π (R^3) - [4/3π](r^3) = [4/3]π(R^3 - r^3) = [4/3]π {(5cm)^3 - (4cm)^3} =
= 255.5 cm^3
Answer: 255.5 cm^3
The maximum profit is the highest point on the curve at (3, 45), and since the y-value is the profit in hundreds of dollars, the maximum profit is $4500.
The shop is making a profit as long as the curve is above the x-axis, so this is over the given interval (0, 10).
The maximum profit is earned at x = 3, and the x-value is the money spent on advertising in hundreds of dollars, so this means that $300 was spent of advertising.
Volume = length x width x height
Volume = 1 x 10 x 20.5
Volume = 205 m^3
