Answer:
range = 51
Step-by-step explanation:
Range = biggest - smallest
62 - 11 = 51
Answer:
419.25
Step-by-step explanation:
The calculation of the cost of materials for the cheapest such container is shown below:-
We assume
Width = x
Length = 2x
Height = h
where, length = 
Base area = lb
= 
Side area = 2lh + 2bh
= 2(2x)h + 2(x)h
= 4xh + 2xh
Volume = 24 which is lbh = 24

Now, cost is

now we have to minimize C(x)
So, we need to compute the C'(x)

C"(x) 
now for the critical points, we will solve the equation C'(x) = 0


So, x is a point of minima that is
= 
Now, Base material cost is

= 139.75
Side material cost is

= 279.50
and finally
Total cost is
= 139.75 + 279.50
= 419.25
The value at the end of the year is 100% - 20% = 0.80 of the value at the beginning of the year. After 4 years of multiplying by this factor, the value is
$17,500·0.80⁴ = $7,168
Answer:
height= 4.8cm
Step-by-step explanation:
volume= length×width× height given the volume and length and width, 288=12×5×h
288=60h
divide both sides by 60
h=4.8cm
Answer:
The motion of the particle describes an ellipse.
Step-by-step explanation:
The characteristics of the motion of the particle is derived by eliminating
in the parametric expressions. Since both expressions are based on trigonometric functions, we proceed to use the following trigonometric identity:
(1)
Where:
(2)
(3)
By (2) and (3) in (1):

(4)
The motion of the particle describes an ellipse.