Answer:
Side of 22 and height of 11
Step-by-step explanation:
Let s be the side of the square base and h be the height of the tank. Since the tank volume is restricted to 5324 ft cubed we have the following equation:


As the thickness is already defined, we can minimize the weight by minimizing the surface area of the tank
Base area with open top 
Side area 4sh
Total surface area 
We can substitute 


To find the minimum of this function, we can take the first derivative, and set it to 0



![s = \sqrt[3]{10648} = 22](https://tex.z-dn.net/?f=s%20%3D%20%5Csqrt%5B3%5D%7B10648%7D%20%3D%2022)

2x + 4 = 3x - 10
-2x and +10 to both sides
14 = x
the answer is x = 14
Hey there!
ORIGINAL EQUATION:
|x + 2| = 3
TRANSLATE:
x + 2 = 3 or x + 2 = -3
SOLVING for: x + 2 = 3
SUBTRACT 2 to BOTH SIDES
x + 2 - 2 = 3 - 2
CANCEL out: 2 - 2 because it give you 1
KEEP: 3 - 2 because help solve for the current x-value
NEW EQUATION: x = 3 - 2
SIMPLIFY IT!
x = 1
Thus, your answer is: x = 2
/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\
SOLVING for: x + 2 = -3
SUBTRACT 2 to BOTH SIDES
x + 2 - 2 = -3 - 2
CANCEL out: 2 - 2 because it give you 0
KEEP: -3 - 2 because it help solve for the current x-value
NEW EQUATION: x = -3 - 2
SIMPLIFY IT!
x = -5
Thus, your answer is: x = -5
/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\
Therefore, your answer is: x = 1 or x = -5
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
ANSWER: 7/6
step 1: Simplify both sides of the equation.
step 2:Subtract 2/3 from both sides.
step 3: Multiply both sides by 7/(-1).
Answer:
$12,500
Step-by-step explanation:
Using the compound interest formula Accrued Amount = P (1 + r)^n
where Accrued amount = $18000
P = principal; we need to generate it
r = 20% = 0.2
n = 2
Therefore
P = Accrued amount/ (1 + r)^n
= 18000/(1+0.2)^2
= 18000/1.44
= 12,500
hence $12,500 needs to be invested