The daily cost, in dollars, to produce
x
gallons of handmade ice cream is
C
(
x
)
=
x
+
11
. The price-demand function, in dollars per gallon, is
p
(
x
)
=
−
0.15
x
+
20.8

Find the daily profit function.
Find the maximum daily profit. any gallons of ice cream need to be sold each day to maximize the profit.
Find the price to charge per gallon to maximize profit

Answer:

1. 2=x+41

‐x=41‐2

x=‐39

2. 2=4+7×

‐7×=4‐2

7×=2

3. 2=10×+8

‐10×=8‐2

‐5×=3

5×=‐3

4.2=×+141

‐x+2=141

‐x=139

Answer:

12

Step-by-step explanation:

Answer:

$6,800

Step-by-step explanation:

The interest earn after 5 years will be $6800.

It is given that Huang invests $720 into an annuity every month for five years and at end of 5 years balance was $50000.

We have to find out the interest earn.

What do you mean by interest ?

Interest is an additional amount of money that is paid by the bank to customer on the amount deposited in his account.

As per the question ;

Investment made by Huang = $720 for five years

At end of five years , account balance = $50000.

So ;

Five years = 60 months

and the investment is an annuity every month for five years.

If Huang invests $720 every month for 5 years then total investment is ;

= $720 × 60

= $43200

And account balance at end of 5 years = $ 50000

So ;

Interest earn will be ;

= $50000 - $43200

= $6800

Thus , the interest earn after 5 years will be $6800.

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Answer:

2.4414063e+14 (wow such a large number)

Step-by-step explanation:

10x25= 250

250 to the 6th power = 2.4414063e+14

Answer:

63 feet ^2

Step-by-step explanation:

Well assuming your presented with length and width.

9*7=63

Answer:

$800 is the original price

Step-by-step explanation:

15% discount

if 85% = $680

100% =?

100/85 * $680

=$800

Answer:

800

Step-by-step explanation:

Answer:

6 gallons = 3.785 liters

Answer:

1.5850323141      

Step-by-step explanation:

Answer:

-3x^2+17x-1

Step-by-step explanation:

Answer:

she will not have enough money

she will have 23 more to save

Step-by-step explanation:

got it right on plato

Answer:

If the bike costs $150, Carla will

not have

enough money to buy the bike before the start of summer.

Carla will have

$23

more to save

.

Step-by-step explanation:

Answer:

[tex]x=1\pm i[/tex]

Step-by-step explanation:

The given equation is :

[tex]x^2-2x=-2\\\\x^2-2x+2=0[/tex]

The above equation is a quadratic equation whose solution can be given by :

[tex]x=\dfrac{-b\pm \sqrt{b^2-4ac} }{2a}[/tex]

Here,

a = 1, b = -2 and c = 2

So,

 [tex]x=\dfrac{-(-2)\pm \sqrt{(-2)^2-4(1)(2)} }{2(1)}[/tex]

So,

[tex]x=1+i,1-i\\\\x=1\pm i[/tex]

So, the solution of the equation is [tex]1\pm i[/tex].

Answer: C) 4

Step-by-step explanation:

The chi-square test should have 4 degrees of freedom

The categories of students are:

Sophomore, junior, and senior students

The categories of response are:

.agree with the increase, do not agree with the increase, no opinion

There are three (3) categories of students and three (3) categories of response.

So, the degrees of freedom is calculated as:

[tex]df = (r -1) * (c -1)[/tex]

Where:

r = 3 i.e. categories of students

c = 3 i.e. categories of response.

This gives

[tex]df = (3 -1) * (3 -1)[/tex]

[tex]df = 2 * 2[/tex]

[tex]df = 4[/tex]

Hence, the chi-square test should have 4 degrees of freedom

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Answer:

A represents the amount of money in the account. W represents the amount of weeks. -6 represents the change in her balance every week. 40 represents the amount of lunch money she starts with.

Answer:

w = 238

Step-by-step explanation:

So create a system of equations if the number of m = 2w where the men's number is twice the women's number.  and m + w = 714 so substitute 2w for m

2w + w = 714 so 3w = 714, divide both sides by 3, you get w = 238

Answer:

x = 2 and x = -3

Step-by-step explanation:

We need to find the value of x in the below expression.

[tex]\sqrt{x+7} -1=x[/tex]

Adding 1 to both sides,

[tex]\sqrt{x+7} -1+1=x+1\\\\\sqrt{x+7}=x+1[/tex]

Squaring both sides,

[tex]x+7=(x+1)^2\\\\x+7=x^2+1+2x\\\\x^2+1+2x-x-7=0\\\\x^2+x-6=0\\\\x=2\ and\ -3[/tex]

Hence, this is the required solution.

[tex]\bf\huge x=2 [/tex]

Step-by-step explanation:

⟼ [tex]\sqrt{x+7} -1=x\\[/tex]

⟼ √x + 7 = x + 1

⟼ x + 7 = x² + 2x + 1

⟼ x + 7 - x² - 2x - 1 = 0

⟼ -x + 6 -x² = 0

⟼ x² + x - 6 = 0

⟼ (x-2) (x+3) = 0

⟼ x = 2 and x = -3

Therefore,

⟼ x = 2.

⟼ let take x = 2

⟼ [tex]\sqrt{x+7} -1=x\\[/tex]

⟼ √2+7 - 1 = 2

⟼ √9 - 1 = 2

⟼ 3 - 1 = 2

⟼ 2 = 2

Answer:

7 Ways

Step-by-step explanation:

Have a Nice Day!

Answer:

64 ways

Step-by-step explanation:

Basic possibility table/using math, and calculating

Answer:

its B

Step-by-step explanation:

Answer:

Its the 3rd one.

Also can I have brain list

Step-by-step explanation:

Answer: 42

Step-by-step explanation:

A negative number times a negative number will have a positive product.

(-6)(-7)=42

Hope this helps

Answer:

B (340)

Step-by-step explanation:

Answer:

Inequality is 15 = 7.5 + 1.5x

x = 5, he can buy 5 sour straws

Step-by-step explanation:

For the inequality, just set the total money he has (15) equal to the total cost of the nachos (7.5) and sour straws (1.5)

Since we don't know how many straws he can buy, use a variable, I used x.

You get 15 = 7.5 + 1.5x, which solved out gives you x = 5.

Hopefully this helps - let me know if you have any questions!

Answer:

$4.40

Explanation:

8/100 = 0.08

55*0.08 = 4.4

Answer:

frac.: 1/8

dec.: 0.125

pct.: 12.5%

The given numbers in ratio as 1:8, in fractions as 1/8 and in percentage as 12.5%.

In Mathematics, fractions are represented as a numerical value, which defines a part of a whole. A fraction can be a portion or section of any quantity out of a whole, where the whole can be any number, a specific value, or a thing.

Given that, 1 to 8.

The given numbers in ratio

1:8

In fraction

1/8

In percentage

1/8 ×100

=12.5%

Therefore, the given numbers in ratio as 1:8.

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Answer:

Step-by-step explanation:

This is already solved, and this would not be considered a inequality since it has only a equal sign.

Answer:

Just click an x on the graph for each number in the chart.

1/4 would have 4 x's

2/4 would have 2 x's

3/4 would have 1 x

1 would have 2 x's

Answer:

[tex]F=6.83\times 10^{-10}\ N[/tex]

Step-by-step explanation:

Given that,

The masses of two balls = 0.8 kg

The distance between masses = 0.25 m

We need to find the gravitational force between the two balls. The formula for the gravitational force is given by :

[tex]F=G\dfrac{m_1m_2}{r^2}\\\\F=6.67\times 10^{-11}\times \dfrac{0.8^2}{(0.25)^2}\\\\F=6.83\times 10^{-10}\ N[/tex]

So, the force between the balls is equal to [tex]6.83\times 10^{-10}\ N[/tex].

9514 1404 393

Answer:

  (x +3)² +(y -2)² = 185

  (x -10)² +(y +2)² = 185

Step-by-step explanation:

One possible equation comes from using one of the points as center. The other possible equation comes from using the other point as center.

The radius can be found from the distance formula:

  r² = (x2-x1)² +(y2-y1)² = (10-(-3))² +(2-(-2))² = 169 +16 = 185

The circle formula is ...

  (x -h)² +(y -k)² = r² . . . . . . for center (h, k) and radius r

The above equations and the ones shown in the attachment are possibilities.

Answer:

Alice has 135 cents, or $1.35.

Step-by-step explanation:

Answer:

This data would show if spectators only come to the stadium and stay until the end of the game when their favorite teams are playing

This data will help the stadium know the current trend ( either increasing of decreasing ) number of the spectators who visit the stadium

we have to conduct a hypothesis test assuming that a spectator watches a match for more than 180 minutes with an assumed standard deviation

we can also use regression analysis and line of best fit to check for the trends

Step-by-step explanation:

Aim : The Aim of the stadium is Increasing revenue generated in the stadium and some of the ways to achieve such is by taking specific data as regards the customers/spectators who visit the stadium

The type of data that could be collected from the fans to be used in multiple regression model:

This data would show if spectators only come to the stadium and stay until the end of the game when their favorite teams are playing

This data will help the stadium know the current trend ( either increasing of decreasing ) number of the spectators who visit the stadium

How can the data be collected

how to apply the data

we have to conduct a hypothesis test assuming that a spectator watches a match for more than 180 minutes with an assumed standard deviation

we can also use regression analysis and line of best fit to check for the trends

Answer:

2.

Step-by-step explanation:

Answer:

16

Step-by-step explanation: