5. Write 8% as a decimal
1 answer:
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Answer:
The maximum volume of the package is obtained with a cross section of side 18 inches and a length of 36 inches.
Step-by-step explanation:
This is a optimization with restrictions problem.
The restriction is that the perimeter of the square cross section plus the length is equal to 108 inches (as we will maximize the volume, we wil use the maximum of length and cross section perimeter).
This restriction can be expressed as:
being x: the side of the square of the cross section and L: length of the package.
The volume, that we want to maximize, is:
If we express L in function of x using the restriction equation, we get:
We replace L in the volume formula and we get
To maximize the volume we derive and equal to 0
We can replace x to calculate L:
The maximum volume of the package is obtained with a cross section of side 18 inches and a length of 36 inches.
Answer:
Step-by-step explanation:
<u><em>The question in English is:</em></u>
From the general term, calculate the first 4 terms.
(Consider that you must assign values to the variable n)
we have
step 1
Calculate the first term
For n=1
step 2
Calculate the second term
For n=2
step 3
Calculate the third term
For n=3
step 4
Calculate the fourth term
For n=4
therefore
the first 4 terms are
Qa + Qy = 67y + 93
Qy - 67y = 93 - Qa
y(Q - 67) = 93 - Qa
y =
Qy - 67y = 93 - Qa
y(Q - 67) = 93 - Qa
y =