Answer:
A. 11/3
Step-by-step explanation:
11/3 is saying 11 dived by 3, and in the short story the 11-inch string is being cut (divide) into 3 parts.
Hope this helped!
Answer:
Step-by-step explanation:
From the given information:
a) To express the weekly profit as a function of price
Cost =C(q) = 1500 + 10q
Revenue = p×q = (50 − 0.1q)×q = 50q - 0.1q²
Revenue = 50q - 0.1q²
Weekly profit = Revenue - Cost
P(q) = (50q -0.1q²) - (1500 + 10q)
P(q)= -0.1 q² + 40 q - 1500
However, q = 500 - 10 p using p = 50 − 0.1q
P= -0.1 (500 - 10 p)² + 40 (500 - 10 p) - 1500
P= -10 p² + 600 p - 6500
b)
The price at which the bottle of the wine must be sold to realise a maximum profit can be determined by finding the derivative and then set it to 0
P' = 0
= -20p+600 = 0
20p = 600
p = 600/20
p = $30
c)
The maximum profit that can be made by the producer is:
P= -10(30)² + 600(30) - 6500
P = - 9000 + 18000 - 6500
P = $2500
Answer:
Option D.
Step-by-step explanation:
Borrowed $50 from your cousin. You pay him $8 and must pay him back within 12 weeks.
Let x be the amount paid on each week.


You can buy bags of pretzels in packages of 12. You $50 to spend, but want to have at least $8 left.
Let x be the amount of each package.

You owe your sister $50. You plan to pay her $12 a week till you owe her less than $8.
Let x be the amount paid on each week.

You have $50 to spend on clothes, but you need to save at least $8 for bus fare. You plan to spend the rest on shirts that cost $12 each (including tax).
Let x be the number of shirts

Therefore, the correct option is D.
Answer:
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Step-by-step explanation: