Answer:
Circumference ≈ 50.27
Area ≈ 201.06
Step-by-step explanation:
The circumference of a circle is
while the area of the circle 
Since the diameter is the radius multiplied by 2, the radius of the circle is 8. So substituting 8 for r, the circumference is 2 ×
× 8, which is approximately 50.27 (rounded to the nearest hundredth) and the area of the circle would be
× 8². 8² is 64 so 64 times pi is approximately 201.06 (rounded to the nearest hundredth)
Answer:
11
Step-by-step explanation:
(-3)²-3(-3)-7
9+9-7
11
The objective function is simply a function that is meant to be maximized. Because this function is multivariable, we know that with the applied constraints, the value that maximizes this function must be on the boundary of the domain described by these constraints. If you view the attached image, the grey section highlighted section is the area on the domain of the function which meets all defined constraints. (It is all of the inequalities plotted over one another). Your job would thus be to determine which value on the boundary maximizes the value of the objective function. In this case, since any contribution from y reduces the value of the objective function, you will want to make this value as low as possible, and make x as high as possible. Within the boundaries of the constraints, this thus maximizes the function at x = 5, y = 0.
5 x 3 = 15
30 x 3 = 90
15+90=105
so that person paid $105 for that day