Answer:
D. 1.2
Step-by-step explanation:
The sum of an arithmetic sequence is the product of the average term value and the number of terms.
The average term is often computed by averaging the first and last terms of the sequence. It can also be computed by averaging the middle two terms of the sequence (when there are an even number of terms, as here).
We are given a_13 is 1.9. We know that a_12 is 3.7 less, so is -1.8. Then the average of these two middle terms is ...
... (-1.8 + 1.9)/2 = 0.05
The product of this value and the number of terms (24) is ...
... 24·0.05 = 1.2 . . . . . the sum of 24 terms of the sequence
Answer:
3/2 or 1.5
Step-by-step explanation:
Convert (-3 1/3) to -10/3
Now its -5/(-10/3)
The 3 is multiplied by the -5
(-5)(3)/(-10)
=(-15)/(-10)
The negatives cancel and it reduces to 3/2
The Lagrangian is
It has critical points where the first order derivatives vanish:
From the first two equations we get
Then
At these critical points, we have
(maximum)
(minimum)
30% of 10,000 is 3,000, so the salesperson would have sold the boat for $13,000. The difference between the auction price and dealership price is 3,000. The commission is 25% of 3,000, which is $750.
