Answer:
a = length of the base = 2.172 m
b = width of the base = 1.357 m
c = height = 4.072 m
Step-by-step explanation:
Suppose we want to build a rectangular storage container with open top whose volume is 12 cubic meters. Assume that the cost of materials for the base is 12 dollars per square meter, and the cost of materials for the sides is 8 dollars per square meter. The height of the box is three times the width of the base. What’s the least amount of money we can spend to build such a container?
lets call a = length of the base
b = width of the base
c = height
V = a.b.c = 12
Area without the top:
Area = ab + 2bc + 2ac
Cost = 12ab + 8.2bc + 8.2ac
Cost = 12ab + 16bc + 16ac
height = 3.width
c = 3b
Cost = 12ab + 16b.3b + 16a.3b = 12ab + 48b² + 48ab = 48b² + 60ab
abc = 12 → ab.3b = 12 → 3ab² = 12 → ab² = 4 → a = 4/b²
Cost = 48b² + 60ab = 48b² + 60b.4/b² = 48b² + 240/b
C(b) = 48b² + 240/b
C'(b) = 96b - 240/b²
Minimum cost: C'(b) = 0
96b - 240/b² = 0
(96b³ - 240)/b² = 0
96b³ - 240 = 0
96b³ = 240
b³ = 240/96
b³ = 2.5
b = 1.357m
c = 3b = 3*1.357 = 4.072m
a = 4/b² = 2.172m
Answer:
C ( 8,-6)
Because you move the points according to the rule.
Answer: 350,340,330,320,310,300,290,280,270,260,250,240.
Step-by-step explanation:
To solve this exercise you must keep on mind the following information:
1. By definition skip counting is about counting by a number which is not the number 1.
2. Skip counting by ten from 350 to 240 means that you need to subtract 10 to a number to find the other one.
3. Therefore, you must subtract 10 to 350 and then you need to do this over and over again until you get 240.
Answer:
a. 180
Step-by-step explanation:
= 
cross-multiply:
4x = 720
x = 180
Answer: Loan B requires more interest by $809.16.
Step-by-step explanation:
Subtract the total pay back of loan B from loan A
= $55,098.60 - $54,289.44
= $809.16
I hope this helps, please mark as brainliest answer.
