Answer:
Step-by-step explanation:
Let the side of the square base be x
h be the height of the box
Volume V = x²h
13500 = x²h
h = 13500/x² ..... 1
Surface area = x² + 2xh + 2xh
Surface area S = x² + 4xh ...... 2
Substitute 1 into 2;
From 2; S = x² + 4xh
S = x² + 4x(13500/x²)
S = x² + 54000/x
To minimize the amount of material used; dS/dx = 0
dS/dx = 2x - 54000/x²
0 = 2x - 54000/x²
0 = 2x³ - 54000
2x³ = 54000
x³ = 27000
x = ∛27000
x = 30cm
Since V = x²h
13500 = 30²h
h = 13500/900
h = 15cm
Hence the dimensions of the box that minimize the amount of material used is 30cm by 30cm by 15cm
Answer:
$68,000
Step-by-step explanation:
we have to determine the total economic costs of going to college = ($40,000 x 2) + ($30,000 x 2) = $140,000
since we want to recover our "college investment" in 5 years or less, then we must earn at least $140,000 / 5 = $28,000 more per year
the minimum salary that we should earn after graduating = $40,000 (our current salary) + $28,000 (to recover college costs) = $68,000
5x+2=2y+20+24
5x+2=2y+44
-2 -2
5x=2y+42
That's what I got...
Answer:
The Third one
Step-by-step explanation:
Because the y is not included in the function ( see some lines ) and x is the same thing but it is larger than -3 and it is included in the function .
I hope that it's a clear solution and explanation.
Answer:
E
Step-by-step explanation:
Hope this helped!
