Answer:
The theater has 32 rows
Step-by-step explanation:
The rule of the sum of n terms of an arithmetic sequence is S
=
(a + l), where
- n is the number of the terms
∵ The number of seats per row follows an arithmetic sequence
∵ The first row has 26 seats
∴ a = 26
∵ The last row has 150 seats
∴ l = 150
∵ The theater seats are 2,816
∴ S
= 2,816
→ Substitute these values in the rule of the sum above to find n
∵ 2,816 =
(26 + 150)
∴ 2,816 =
(176)
∴ 2,816 = 88n
→ Divide both sides by 88
∴ 32 = n
∵ n represents the number of the rows
∴ The theater has 32 rows
Answer: 6187.24
Step-by-step explanation: 5698.80(1+.0138)^6
Answer:
1. $0.80 or 80 cents
2. 1.25 meters
Step-by-step explanation:
The equation p=0.8L represents the price p (in dollars) of a piece of nylon rope that is L meters long.
1. To find how much the nylon costs per meter, take L = 1 (this means you are calculating the price of a piece of nylon rope that is 1 meter long):

2. To find how long a piece of nylon rope that costs $1.00 is, substitute into the equation p = 1:

Answer: 336cm^3
Step-by-step explanation: First of all. We can combine the two different 4's to make this one shape so it is easier to calculate. We know to get volume it is l * w * h=v. So we just plug in the values. We have 8*3*14. Now just multiply. 8*3*14 = 336