Jim's Camera shop sells two high-end cameras, the Sky Eagle and Horizon. The demands for these two cameras are as follows: DS = demand for the Sky Eagle, PS is the selling price of the Sky Eagle, DH is the demand for the Horizon, and PH is the selling price of the Horizon.
DS = 229 − 0.60PS + 0.35PH
DH = 269 + 0.10PS − 0.64PH
The store wishes to determine the selling price that maximizes revenue for these two products. Develop the revenue function for these two models. (Enter your answer in terms of
PS and PH.)
revenue =

Answer:

\( - 2x + 2 \geqslant - 2\)

subtract 2 from either sides:

\(( - 2x + 2) - 2 \geqslant - 2 - 2 \\ - 2x \geqslant - 4\)

divide either sides by -2 [ division rule of equality ]

\( \frac{ - 2x}{ - 2} \geqslant \frac{ - 4}{ - 2} \\ \\{ \boxed{ \boxed{ x \leqslant 2}}}\)

Answer:

okay i'll keep this in mind

Step-by-step explanation:

Answer:

9 times 11 equals 99

99

if you are satisfied with my answer, please mark brainliest :D

Step-by-step explanation:

Answer: 99

Step-by-step explanation:

Answer:

The answer will be B :0

Step-by-step explanation:

Step-by-step explanation:

Monte answered 9 questions each worth 4 points =  9x 4 = 36 points

 the rest of the 87 points were three-pointers  ( 87-36) = 51 points

      51 points / ( 3points /question)  = 17 three pointers

Answer: I think the answer is 29 I hope this is helping you

Step-by-step explanation: Since 87 divided by 3 gives an integer which is 29 and 29 times 3 is 87 I think this is the answer I'm not entirely sure but that's what I think

Answer: She missed 5 targets

Step-by-step explanation:

-75/ -15

5 targets missed

The measures of Angle 1 and angle 2 are:- m∠1 = 105 degrees- m∠2 = 105 degrees

Since lines c and d are parallel, we know that angles 1 and 2 are corresponding angles, which means that they have the same measure.

Also, we know that angles 2 and the angle corresponding to angle 2 on line d (angle 3) form a straight angle, which means that their sum is 180 degrees.

From the given information, we know that angle 3 measures 75 degrees. Therefore, we can write an equation to find the measure of angle 2:

angle 2 + angle 3 = 180 degrees

angle 2 + 75 degrees = 180 degrees

angle 2 = 180 degrees - 75 degrees

angle 2 = 105 degrees

Since angles 1 and 2 have the same measure, we know that angle 1 also measures 105 degrees.

Therefore, the measures of angle 1 and angle 2 are:

- m∠1 = 105 degrees

- m∠2 = 105 degrees

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Answer: 0.555

Step-by-step explanation:

Answer:

k=3.5, and y=3.5x is the equation of the line

Step-by-step explanation:

y and x are proportional means that y = kx for some constant k.

Thus, when y=7 and x=2, we have that 7 = k * 2, so that k = 7/2 = 3.5,

and the equation of the line is y = 3.5x

Answer:

x=3

Step-by-step explanation:

\(2(5x - 3) = 24\\\\10x-6=24\\\\10x=24+6\\\\10x=30\\\\x=30/10\\\\x=3\)

Answer:

open the bracket by multiplying everything in the bracket by2

then you get

2×5x-2×-3=24

10x-6=24

10x=24+6

10x=30

x=3

Answer: let F(x)=y

y=2x+5

Step-by-step explanation:

Answer:

4x² + 22x - 12

Step-by-step explanation:

A = bh/2

A = (4x - 2)(2x + 12)/2

A = (8x² + 48x - 4x - 24)/2

A = (8x² + 44x - 24)/2

A = 4x² + 22x - 12

Answer:

They dig 42.5 meters in 5 hours

Step-by-step explanation:

The following information was given:

Time (hours)        Distance (meters)

1                             8.5

2                            17

3                            25.5

4                            34

5                            x

Finding x when the rate of meters per hour remains the same

Let us first find the rate in meters per hour

rate = change in distance ÷ change in time

Between 1 and 2 hours

\(rate = \frac{d_2 - d_1}{t_2 - t_1} \\where:\\d_2 = 17 m\\d_1 = 8.5m\\t_2 = 2\ hours\\t_1 = 1\ hour\\\therefore\ rate = \frac{17 - 8.5}{2-1} \\rate =\frac{8.5}{1} \\rate = 8.5\ m/hr\)

This means that for every additional 1 hour, 8.5 meters is dug

Finding the meters dug in 5 hours

4 hours = 34 meters

4 hours to 5 hours = 1 hour

for every additional 1 hour, 8.5 meters are dug

∴ 4 hours to 5 hours = 34 + 8.5

4 hours to 5 hours = 42.5 meters

the Answer is C. 367 meters

Answer: 367 meters

Step-by-step explanation:

The equation of the graph given is y = -(\(2^x\) - 2).

It is the movement of the shape in the left, right, up, and down directions.

The translated shape will have the same shape and shape.

There is a positive value when translated to the right and up.

There is a negative value when translated to the left and down.

We have,

y = \(2^x\)

The transformation of the function to get the given graph.

Step 1:

Shrink vertically with a scale factor of  2.

Step 2:

Rotation of the function about the origin.

We get,

y = -(\(2^x\) - 2)

Thus,

The equation of the graph is y = -(\(2^x\) - 2).

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The cost of the car is $59,711.4.

Since,  A percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate the percent of a number, divide the number by the whole and multiply by 100.

Given here:

Price of the car = $46,890.00,

percent down: 26%,

finance cost: $792.00 per month for 60 months

Thus Total cost= $46,890.00×0.26+60×792

                        = $12191.4 + $47520

                        = $59,711.4

Hence, The cost of the car is $59,711.4

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The area of the poster in inches is,

⇒ A = 4 inches²

We have to given that;

A rectangular poster is 50 centimeters long and 25 centimeters wide.

Here, 1 centimeter is approximately 0.4 inches

Hence, Lenght = 50 cm

Lenght = 50 x 0.4

            = 2 inches

Width = 25 cm

          = 25 x 0.4

           = 1 inches

Thus, The area of the poster in inches is,

⇒ A = 1 x 4

⇒ A = 4 inches²

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Answer:

a: Represents the number of equal parts parts the circle is divided

b: Represents the measure of the central angle of each part.

(I hope this helps!!)

Answer:

a: Represents the number of equal parts parts the circle is divided

b: Represents the measure of the central angle of each part.

Step-by-step explanation:

Let's denote the amount Jolene invested at 3 percent interest as 'x' dollars. Since she put twice as much in the lower-yielding account, the amount she invested at 9 percent interest would be '2x' dollars.

To calculate the interest earned from each account, we'll use the formula: Interest = Principal × Rate × Time.

For the 3 percent interest account:

Interest_3_percent = x × 0.03

For the 9 percent interest account:

Interest_9_percent = 2x × 0.09

We know that the total annual interest is $3120, so we can set up the equation:

Interest_3_percent + Interest_9_percent = 3120

Substituting the above equations, we have:

x × 0.03 + 2x × 0.09 = 3120

Simplifying the equation:

0.03x + 0.18x = 3120

0.21x = 3120

Dividing both sides of the equation by 0.21:

x = 3120 / 0.21

x = 14857.14

Therefore, Jolene invested approximately $14,857.14 at 3 percent interest and twice that amount, $29,714.29, at 9 percent interest.

Answer:

Step-by-step explanation:

X is the amount invested at 6%

Y is the amount invested at 9%

0.06X + 0.09Y = 4998

X = 2Y

0.06(2Y) + 0.09Y  = 4998

.12Y + 0.09Y = 4998

0.21Y = 4998

21Y = 499800

Y = 499800/21 = 23800

So X = 2*23800 = 47600

$47,600 is invested at 6% and $23800 is invested at 9%

Answer:

Step-by-step explanation:

\(\bold{2x^2 + 5x= 5x +50}\\\\{}\ \ -5x\qquad -5x\\\\\bold{2x^2\ =\ 50}\\\\\div2\quad\ \ \div2\\\\\bold{x^2=25}\\\\\bold{x=5\quad\vee\quad x=-5}\)

9514 1404 393

Answer:

  £2272.54

Step-by-step explanation:

An equation for the value is ...

  v = £2300(0.998^t)

Then for t=6, the value is ...

  v = £2272.54

_____

Additional comment

The growth factor (0.998) is (1 - decay rate) = (1 -0.002).

Answer:

the answer is 2272.54

Step-by-step explanation:

:))

Answer:  4:9

Step-by-step explanation:

The complete question is provide in the attachment below.

Given, Number of females = 125

Number of males = 100

Total people = 120+100=225

Now, the ratio of males to the total number of people present = \(\dfrac{\text{Total number of males}}{\text{Total people}}\)

\(=\dfrac{100}{225}\)

Divide numerator and denominator by 25 , we get

Ratio of males to the total number of people present =\(\dfrac{4}{9}\)

Hence, the ratio of males to the total number of people present =  4:9

Answer:

Westbound = x;

Eastbourne = x-20;

So they will have the common rate: 360/2 = 180;

x+x-20 = 180

2x = 200;

x = 100;

So Eastbourne will be 100-20 = 80 miles per an hour;

Answer:

A

Step-by-step explanation:

2(10+7)

2(17)

=34

Answer:

the answer is a

Step-by-step explanation:

10 times 2 plus 7 times 2=34

how many were there? well, really there were "x", which oddly enough is the 100%, we also know that 40% of "x" is 80, so

\(\begin{array}{ccll} amount&\%\\ \cline{1-2} x & 100\\ 80& 40 \end{array} \implies \cfrac{x}{80}~~=~~\cfrac{100}{40} \\\\\\ \cfrac{ x }{ 80 } ~~=~~ \cfrac{ 5 }{ 2 }\implies 2x=400\implies x=\cfrac{400}{2}\implies x=200\)

Answer:

The correct answer is:

D. Action: Divide both sides by 4.

E. Property: Division property of equality.

Answer:

Step-by-step explanation:

Kyra invested $15,000 of her money at a 1.8% per year bank rate. ... What is Kyra's account balance, to the nearest cent, after: Year 1? Year 2? ... -Compounded interest adds interest not only to your principle amount, but your ... 5) Suppose you deposit $3,000 into an account that earns 6% compounded annually

Answer:

Because if you take 18:3 and divide both sides by 3, you will get 6:1

Step-by-step explanation:

Because 18:3 divided by 3 on both sides equals 6:1, also 6:1 times 3 on both sides equals 18:3.

The double integral for this problem has the result given as follows:

\(\int_{0}^4 \int_0^1 \frac{4x}{1 + xy} dy dx = 20\ln{(5)} - 16\)

Considering the variable y as the inner variable, the double integral is defined as follows:

\(\int_{0}^4 \int_0^1 \frac{4x}{1 + xy} dy dx\)

We start calculating the inner integral, as follows:

\(I = \int_0^1 \frac{4x}{1 + xy} dy\)

Using substitution, we have that:

u = 1 + xy

du = x dy.

dy = du/x

Hence:

\(I = \int \frac{4x}{u} \times \frac{du}{x}\)

\(I = 4\int \frac{1}{u} du\)

I = 4 ln(u).

Returning to x and y, we have that:

I = 4 ln(1 + xy), from y = 0 to y = 1.

Applying the Fundamental Theorem of Calculus for the definite integral, we have that:

I = 4 ln(1 + x) - 4 ln(1 + 0)

I = 4ln(1 + x).

Then the outer integral is given as follows:

\(O = \int_{0}^4 4 \ln{(1 + x)} dx\)

Hence:

O = 4[ln(1 + x) + xln(1 + x) - 1 - x], from x = 0 to x = 4.

Applying the Fundamental Theorem again, now for the variable x, we have that:

O = 4[ln(5) + 4ln(5) - 1 - 4] - 4[ln(1) + 0ln(1) - 1 - 0]

O = 4[5ln(5) - 5] + 4

O = 20ln(5) - 20 + 4

O = 20ln(5) - 16.

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