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fredd [130]
2 years ago
11

When the price of a glass of lemonade at lemonade stand was $1.75, 400 glasses were sold.Assume that the demand function is line

ar and that the marginal and fixed cost are $0.10, and $25 respectively
AFind the profit p as a function of x, the number of glasses of lemonade sold

B Use graphing utility to graph p and comment about slopes of P when X=300 and X=700

C Find the marginal profit when 300 glasses are sold and when 700 of lemonade glasses are sold
Mathematics
1 answer:
aev [14]2 years ago
7 0

Answer:

Step-by-step explanation:

A. Price is 1.75

Total revenue, if number of galsses equals X is 1.75X

Total cost function of X glasses of lemonade is 25+0.1X

Profit function is Revenue - Cost, P=1.75X-25-0.1X=1.65X-25

C. Marginal profit= d/dx(1.65x-25) = 1.65-0=1.65

X=300 glasses, P'(300)=1.65

X=700 glasses, P'(700)=1.65

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18% of the the students at a school are in year 8 and 16% of the students are in year 9. If the school has 126 tera 8 students,
yarga [219]

Answer:

112

Step-by-step explanation:

The general form of all percentage questions is: the chunk= (some percentage) (of the whole), or c=p*w

We know that 18% of students are 8th grade and that is 126 students, so p = 0.18 and c=126 (126 students are 18% of the whole school)

126 = (0.18)w, divide both sides by 0.18

126/(0.18) = w = 700

9th graders are 16% of the school or 16% of 700 students

c = (0.16) 700 = 112 students

5 0
2 years ago
In triangle PQR, PS, QT,and RU are the medians , and PS and QT intersect at the point (4,5)
jekas [21]
We are given with a triangle and three medians. The intersection of the two medians is also given which is (4,5). What is asked is the intersection between another pair of medians. Since the medians of a triangle intersect at the centroid of a triangle, the intersection is also
<span>B. (4, 5)</span>
7 0
2 years ago
Read 2 more answers
Simplify this expression: 3(x + 4.5) + 2(2.6x – 3) 1. Distribute the 3 and 4 through the parentheses: 3(x) + 3(4.5) + 2(2.6x) -
Alex Ar [27]
In order to combine like terms, they have to first be organized. First combine the terms with the variable x, then the terms with no variables.

3x+13.5+5.2x-6
3x+5.2x=8.2x
13.5-6=7.5

The final simplified expression is 8.2x+7.5.
3 0
2 years ago
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For tall heterozygotes with antennae, the offspring are: tall-antennae 46 dwarf-antennae 7 dwarf-no antennae 42 tall-no antennae
Dmitriy789 [7]

Answer: 46%

Step-by-step explanation:

Recombination frequency =Number of recombinant offspring ÷ total number of offspring × 100%

Number of recombinant offspring= 46 ( number of offspring with the same genetic combination as the parent which in this case are the tall antennae TA)

Total number of offspring = 46+7+5+42= 100

Recombination frequency= 46/100 × 100%

=46%

Thanks

8 0
2 years ago
A patrolman spends 25% every day completing paperwork. The patrolman’s shift each day is 8 hours. How much of his time does he s
fredd [130]
Assuming the man works 8 hours straight without breaks:

25% is the same as 1/4 of something.

So, we just have to figure out what 1/4 (one quarter) of 8 equals.

You can think of it as a pizza cut into 8 slices. One slice is equivalent to one hour for the patrolman.

If we take away 1/2 (half) of the pizza, we have 4 slices, right? Since we start with 8 slices, half of that equals 4 slices. In other words, 50% (half) of the pizza = 4 slices.

Now, 25% (one quarter) of the pizza will equal half of what is left:

If we know that 50%=4 slices (or 4 hours), then 25% must be 2 slices (or 2 hours).

That's it! 25% of 8 hours = 2 hours.

***So, the patrolman spends 2 hours each day completing paperwork.***

Lets check our work:
We know 8 hours (or 8 slices)= 100%
(We know this because
8 slices = 1 whole pizza, or 100% of a pizza. Similarly,
8 hours = 1 whole shift or 100% of the man's shift ).

So

25% + 25% + 25% + 25% = 100%

If 100% of the mans shift = 8 hours:

2+2+2+2 = 8

It checks out!


Hope this helps!



4 0
2 years ago
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