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
Answer:
y = one-half x + three-fourths
Step-by-step explanation:
The 2-point form of the equation of a line can be used for starters.
y = (y2 -y1)/(x2 -x1)(x -x1) +y1
y = (11/12 -19/20)/(1/3 -2/5)(x -2/5) +19/20 . . . . fill in given values
y = ((55 -57)/60)/((5 -6)/15)(x -8/20) +19/20 . . simplify a little
y = (-1/30)/(-2/30)(x -8/20) +19/20 . . . . . . . . . . and a little more ...
y = 1/2x -4/20 +19/20
y = 1/2x +15/20
y = 1/2x +3/4 . . . . line in slope-intercept form
Answer:
30:48
Step-by-step explanation:
because there are 30 oranges and 48 plums. I got this by putting oranges in front of plums to get the ratio of 30:48
The smaller side is 4 units going from point (2,2) to point (6,6) while the biger side is 8 units long going from point (6,6) to point (14,14). So 4 is 1/2 of 8 therefore there is a 1:2 ratio because of 4:8
P = A / (1 + rt)
P = 80000 / (1 + (0.09)(0.5))
P = <span>$ 76,555.02</span>
