The profit P (in hundreds of dollars) that a company makes depends on the amount x (in hundreds of dollars) the company spends on advertising according to the model
P = 180 + 80x − 0.5x^2.
What expenditure for advertising yields a maximum profit?

Step-by-step explanation:

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Answer:

2

Step-by-step explanation:

multiplying each number by 1/3 gives

1/3y+7/3= 3y-3

3y-1/3y=7/3+3

8/3y=16/3

y=16/3÷8/3

y=16/3×3/8

y=2

The solution of the equation 1/3(y+7)=3(y−1) will be ; y = 2

An equation is an expression that shows the relationship between two or more numbers and variables.

Given that the equation is 1/3(y+7)=3(y−1)

First, multiplying each number by 1/3 gives;

1/3y+7/3= 3y-3

3y-1/3y=7/3+3

8/3y=16/3

Cross multiplication;

y=16/3÷8/3

y=16/3×3/8

y=2

Therefore, the solution of the equation 1/3(y+7)=3(y−1) will be ; y = 2

Learn more about equations here;

https://brainly.com/question/25180086

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Answer:

b=30

Step-by-step explanation:

Answer:

b = 30

I hope this helps!

Answer:

hui

Step-by-step explanation:

Answer:

8 number of visits will be the total cost of the visits (including the price of the discount card) be less expensive for a family of 2 adults and 1 child if they have purchased the discount card

Step-by-step explanation:

                             Price without Discount Card   Price with Discount Card

Ticket (12 & Under)        $10                                             $8

Adult's Ticket                  $15                                           $12

Let x be the number of visits

Price without discount card for 2 adults and 1 child ticket

Price without discount for x visits = [tex]x(15 \times 2+ 10)=40x[/tex]

Price with discount for x visits =[tex]57+ x(12 \times 2+ 8)=57+32x[/tex]

Now to find For what number of visits will the total cost of the visits (including the price of the discount card) be less expensive for a family of 2 adults and 1 child if they have purchased the discount card

57+32x< 40x

57<8x

7.1<x

So, 8 number of visits will be the total cost of the visits (including the price of the discount card) be less expensive for a family of 2 adults and 1 child if they have purchased the discount card

Answer:

1 1/6

Step-by-step explanation:

If I am incorrect in my reasoning, please let me know so that I can plan better for my future answers. Have an amazing day.

Answer:

No, I would not take that because it is rational and it will not evenly split within all of the people.

Step-by-step explanation:

If Mr. Wright is getting 99% of the money, and you get 1%, would you take it?

It would take Jenna half an hour, or 30 minutes, to run 3 km.

Hope this helps!

Answer:   $54.00

Explanation: Three percent of $180.00 is $5.40. So Bonnie receives $5.40 annually. In ten years, she will have $54 (multiply 5.40 by 10).

Answer:

918

Step-by-step explanation:

34 students multiplied by $27 each

34×27=918

Answer:

12

Step-by-step explanation:

I just looked at this way 12 * 12 = 144.

Answer:

Step-by-step explanation:

Answer:

X > 2

Step-by-step explanation:

Answer:

273 K, 0 C, 32 F

This is freezing temperature for all 3 systems.

Answer: 10

Step-by-step explanation:

4(2x-5)

distribute

8x-10

8x-10=8x-10

2 1/9 is the answer

the latex didn't workk

Answer:

i think the answer is 2.11

Step-by-step explanation:

Answer:

13

Step-by-step explanation:

there is a rule that says that if you add any 2 sides, it should be more than the third. 9+21 is greater than 13. 21+13 is greater than 9. 13 is the only number which if you add 9 to it it will be greater than 21. 12 will equal 21, but it still wont work.

hope this helps :))

Answers are

A: 16.09 %

B: 0.65

C: Those who like Hamburgers but not burritos.

Step-by-step explanation:

                        Like Hamburgers ↓  Does Not Like Hamburgers↓    Total↓

Likes burritos →                 39                           38                                   77

Does not like burritos →    95                          33                                128

Total →                                134                           71                                 205

Part A: The percent of respondents who do not like hamburgers and burritos both

There are 33 such respondents.  

Hence, percentage  33/205 * 100 = 16.09%

Part B: Marginal relative frequency of all customers that like hamburgers

It will be the ratio of the sum of the customers that like hamburgers to the total number of respondents

Hence, ratio  134/205 = 0.65

Part C: The data point that has the strongest association of its two factors.

For this, we need to find the ratio of all the four data with the total.

Those who like Hamburgers and burritos: 39/134 = 0.29

Those who like Hamburgers but not burritos: 95/134 = 0.71

Those who like burritos but not Hamburgers: 38/71 = 0.53

Those who do not like burritos or Hamburgers: 33/71 = 0.47

So, the answer is those who like Hamburgers but not burritos.

Answer:

The answer is 4 and a 1/2 weeks

Answer:

4 1/2

Step-by-step explanation:

Answer:

-5, -1, 3 is the answer

Step-by-step explanation:

Range is the numbers vertical hope this helps!:)

Answer:

[tex]y=0x+4[/tex]

Step-by-step explanation:

Given the following question:

Point A = (-6, 4) = (x, y)
Slope = 0

To find the equation of the line we are going to use the slope intercept form y = mx + b, substitute the values in for the variables and then solve for b to have our answer.

[tex]y=mx+b[/tex]
[tex]y=4[/tex]
[tex]m=0[/tex]
[tex]x=-6[/tex]
[tex]4=0(-6)+b[/tex]
[tex]0\times-6=0[/tex]
[tex]4=0+b[/tex]
[tex]4+0=4[/tex]
[tex]4=b[/tex]
[tex]b=4[/tex]
[tex]y=0x+4[/tex]

The equation of the line is "y = 0x + 4."

Hope this helps.

Answer:

y = 4

Step-by-step explanation:

Given :-

To Find :-

Slope :-

Substitution

Answer:

[tex]y < -3x[/tex]

Step-by-step explanation:

Choose 2 points on the line:  (0, 0) and (1, -3)

[tex]\sf slope=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{-3-0}{1-0}=-3[/tex]

point-slope form of linear equation:  [tex]\sf y-y_1=m(x-x_1)[/tex]

[tex]\implies \sf y-0=-3(x-0)[/tex]

[tex]\implies \sf y=-3x[/tex]

Solid line : ≤ or ≥

Dashed line: < or >

Therefore as the line is dashed, and the shading is below the line,

[tex]\implies \sf y < -3x[/tex]

Slope:-

[tex]\\ \tt\Rrightarrow m=\dfrac{6-3}{-2+1}=\dfrac{-3}[/tex]

Equation of line in point slope form

[tex]\\ \tt\Rrightarrow y-3=-3(x+1)[/tex]

[tex]\\ \tt\Rrightarrow y=-3x[/tex]

Equation of the shaded region

[tex]\\ \tt\Rrightarrow y<-3x[/tex]

Answer:

288 girls and 192 boys

Step-by-step explanation:

Ratio of boys to girls is 6:9

So, first find the total parts they are dividied into. 6+9= 15

480/15= 32. So one part has 32 students.

The boys are of 6 parts of 15 (as in the ratio). So 32 x 6= 192 boys.

girls are 32 x 9= 288 girls

they add to 480.

See picture for math work and answer.

Analyzing the table, it is found that:

Word count tends to decrease as the score decreases.

------------------------------------

To solve this question, we need to look at the table, where the essays are ranked.

From this, it can be said that yes, there is a relation, as the word count tends to decrease as the score decreases.

A similar question is given at https://brainly.com/question/24258409

Answer:

A. Word count tends to decrease as the score decreases.

Step-by-step explanation:

edge2021

Answer:

x = 5

Step-by-step explanation:

30 divided by 6 equals x

30/6 = 5

so x = 5

Answer:

X= 5

Step-by-step explanation:

6x=30

or, x=30/6
Therefore, x=5

Answer:

Rate=8%

Step-by-step explanation:

Step 1: Write the given terms

Principal (p)=Rs15000

Rate(r)=?

Time(t)=2 1/2=5/2=2.5

Interest(i)=Rs3000

Step 2: Write the formula for calculating Simple interest

[tex]i = \frac{p \times r \times t}{100} [/tex]

Step 3: Make Rate(r) the subject of the equation in Step 2

[tex]by \: cross \: multiplcation \\ 100i = prt \\ divide \: both \: sides \: by \: pt \: to \: have \\ \frac{100i}{pt} = r[/tex]

Step 4: Use the new equation for r to get the rate by substitution

[tex]r = \frac{100i}{pt} \\ r = \frac{100 \times 3000}{15000 \times 2.5} \\ r = \frac{300000}{37500} \\ r = 8[/tex]

Hence, the rate of the simple interest is 8%

Answer:

[tex]y=\frac{3}{5}x+5[/tex]

Step-by-step explanation:

The equation for a line in slope-intercept form is:

[tex]y=mx+b[/tex]

Let's go through what each variable represents:

"y": y-coordinate for any point on the line

"m": slope of the line

"x": x-coordinate for any point on the line

"b": y-intercept (where the line intercepts the y-axis; represented by only the y-coordinate since the x-coordinate is 0)

Given:

Slope = 3/5

Passes through point (5, 8) --> x = 5, y = 8

Find:

y-intercept

We have determined what the question has given us, and what we need to find. Now, we can substitute the given values into the equation:

[tex]y=mx+b\\8=\frac{3}{5}(5)+b\\8=\frac{15}{5}+b\\8=3+b\\$Subtract 3 from both sides\\$b=5[/tex]

Therefore the equation of the line is:

[tex]y=\frac{3}{5}x+5[/tex]