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natita [175]
4 years ago
10

A class had 30 pupils at the beginning of this school term, but now has 5 more pupils. What is the percent of increase?

Mathematics
2 answers:
Charra [1.4K]4 years ago
7 0
The percent of increase would be 16.66
tankabanditka [31]4 years ago
3 0
Answer: 16.67%

Explanation:

You need to learn how to calculate percent to be able to perform this type of problems by yourself.

Percent is the ratio of a quantity on base to 100 parts.

In this case the increase is 5 students of an initial group of 30, so you need to find the equivalent expression with a base of 100 instead of 30.   That is, you need to find the ratio with denominator 100 equivalent to the ratio 5/30:

  x         5
------ = ----
100      30

=> x = (5 / 30) * 100 = 16.67%.

Also, you should notice that calculatind the percent is done dividing the parts by the whole and multiplying by 100, i.e. (5 / 30) * 100, which is the same done above.


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Given the weekly demand curve of a local wine producer is p= 50-0.1q, and that the total cost function is c= 1500+ 10q, where q
Mamont248 [21]

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

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Revenue = 50q - 0.1q²

Weekly profit = Revenue - Cost

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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

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3 years ago
How to simplify 10P6/10P4
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6 0
3 years ago
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