We can model this situation with an arithmetic series.
we have to find the number of all the seats, so we need to sum up the number of seats in all of the 22 rows.
1st row: 23
2nd row: 27
3rd row: 31
Notice how we are adding 4 each time.
So we have an arithmetic series with a first term of 23 and a common difference of 4.
We need to find the total number of seats. To do this, we use the formula for the sum of an arithmetic series (first n terms):
Sₙ = (n/2)(t₁ + tₙ)
where n is the term numbers, t₁ is the first term, tₙ is the nth term
We want to sum up to 22 terms, so we need to find the 22nd term
Formula for general term of an arithmetic sequence:
tₙ = t₁ + (n-1)d,
where t1 is the first term, n is the term number, d is the common difference. Since first term is 23 and common difference is 4, the general term for this situation is
tₙ = 23 + (n-1)(4)
The 22nd term, which is the 22nd row, is
t₂₂ = 23 + (22-1)(4) = 107
There are 107 seats in the 22nd row.
So we use the sum formula to find the total number of seats:
S₂₂ = (22/2)(23 + 107) = 1430 seats
Total of 1430 seats.
If all the seats are taken, then the total sale profit is
1430 * $29.99 = $42885.70
Answer:4 dozens of video games would cost $1956
Step-by-step explanation:
An electronic store prices 3 dozen video games at a total of 1467. A dozen of video games is 12. Therefore, the total number of video games whose cost is 1467 is 12 × 3 = 36
if each video game costs the same amount, then the cost of one video game would be
1467/36 = $40.75
The total number of video games in 4 dozens of video game would be
4 × 12 = 48
Therefore, the total cost of 48 video games would be
48 × 40.75 = $1956
Answer:
13 1/3°
Step-by-step explanation:
Divide 360° (full circumscribed circle) by 27.
There will be 27 identical interior angles, each measuring 13 1/3°
Answer:
7
Step-by-step explanation:
Simply subtract 6 from 13.
13-6=7
Hope this helps! :)
The answer is y = 8 from the photo
