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
♥ Solve:
31/100
50/100
50 is larger than 31
Therefore 5/10 is larger than 31/100
Answer:
Inequality Form:
x<7
Interval Notation:
(−∞,7)
Step-by-step explanation:
plz give brainlyest
Answer:
0.095163
Step-by-step explanation:
given that a starter motor used in a space vehicle has a high rate of reliability and was reputed to start on any given occasion with probability .99999
Here we find that for any start, there are exactly two outcomes either success or failure.
Also each start is independent of the other since p = 0.99999 for succss is given constant.
Thus X no of successes is binomial with p = 0.99999 and n =10000
If Y is taken as failure then Y is binomial with p' = 0.00001 and n =10000
Required probability
= the probability of at least one failure in the next 10,000 starts
= 1-P(no failure in 10000 starts)
=
Answer:
1914
Step-by-step explanation:
interest for one year = 33
interest of 8 years = 264
1650+264 will be in the account in 8 years.
