The difference between fixed expenses and variable expenses is that fixed expenses do not change, regardless of how many items are produced. Variable expenses change based on the number of items produced.
An example of a fixed expense is the rent. The rent is always the same amount, regardless of production.
Materials would be a variable expense. You need enough material to make each item, so the more items you produce, the more material you need.
Answer:
Step-by-step explanation:
Angles in a triangle add up to 180°
Angles in a straight line add up to 180°
This is the concept of sequences and series. To solve the question we proceed as follows:
2] T=-4n-3
to get the 11th term we substitute n=11 in the expression and simplify. Thus, plugging in n=11 we obtain:
T=-4(11)-3
T=-44-3
T=-47
thus the 11th term is -47
3] General term is T=n²-1. The 7th term will be evaluated as above:
plug in n=7 in the expression and simplify:
T7=7²-1
T7=49-1
T7=48
thus the 11th term is 48
4] General sequence is T=1/3n². The term will be evaluated as follows:
plug in n=3 in the expression and simplify:
T3=1/(3×3²)=1/27
Thus the 3rd term is 1/27
Answer:
3. aₙ = -9n +7
4. d = -2.4
5. a₆ = 45
6. aₙ = 133 + 4n
Step-by-step explanation:
Question 3.
a₁ = -2; aₙ = aₙ₋₁ - 9
The explicit rule for an arithmetic sequence is
aₙ = a₁ + d(n -1 )
d = aₙ - aₙ₋₁
aₙ = aₙ₋₁ - 9 Subtract aₙ₋₁ from each side
aₙ - aₙ₋₁ = -9
d = -9
For this sequence,
aₙ = -2 – 9(n - 1) Remove parentheses
aₙ = -2 - 9n + 9 Combine like terms
aₙ = -9n + 7
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Question 4
d = aₙ - aₙ₋₁
a₂ - a₁ = 6.2 – 8.6 = -2.4
a₃ - a₂ = 3.8 – 6.2 = -2.4, etc.
The common difference is
d = -2.4
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Question 5
aₙ = 8n – 3 Substitute the value of n
a₆ = 8×6 – 3
a₆ = 48 - 3
a₆ = 45
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Question 6
a₁ = 137; d = 4
aₙ = a₁ + d(n -1 )
aₙ = 137 + 4(n -1 )
aₙ = 137 + 4n -4
aₙ = 133 + 4n
$4.50 x 3.5 = $15.75.
Hope This Helps You!
Good Luck Studying :)
