A company manufactures 2 models of MP3 players. Let x represent the number (in millions) of the first model made, and let y represent the number (in millions) of the second model made. The company's revenue can be modeled by the equation R ( x , y ) = 110 x + 130 y − 4 x 2 − 3 y 2 − x y Find the marginal revenue equations

The yield on the corporate bond of a face value of $1000 is 7.77%.

What is the percentage discount?

The percentage discount is the discount given on a product as compared to the given discount on 100 rupees.

Given, the face value of the bond is $1000.

Discounted price of the bond is $900.

Therefore, the fixed interest on the bond for that period will be

= $1000 × 7/100 = $70.

Now, the yield on that corporate  bond = 70 × 100/900 % = 7.77% .

Hence, the yield on the corporate bond of a face value of $1000 is 7.77%.

Learn more about percentage discount here:

https://brainly.com/question/26178186

#SPJ4

The range of the graphed function in this problem is given as follows:

[-9, 9].

The values of y in this function are between -9 and 9, inclusive, hence the range of the function is given as follows:

[-9, 9].

Learn more about domain and range at https://brainly.com/question/26098895

#SPJ1

Answer:

−10x4+17x2y−6y2-10x4+17x2y-6y2

or the second option

Answer:

divide the speed value by 3600

according to the most used browser by the name of g

Step-by-step explanation:

The correct answer that is an example of a permutation is; D: The number of ways 7 books can be selected from 50.

Formula for permutation is;

nPr = n!/(n - r)!

Now, permutation is defined as the arrangement of objects in a definite order. Thus, looking at the given options, the only one that depicts permutation is Option D.

Thus, the correct answer is the number of ways 7 books can be selected from 50.

Read more about Permutation at; https://brainly.com/question/12468032

#SPJ1

The number of fidgets and pop bought was 15 each

From the information given, we have that;

1 fidget costs $3

1 Pop cost $4

Let the number of Fidgets be x

Let the number of Pop be y

Then, we have that a total of 20 fidgets and Pop cots $75

We have that;

20x + y = 75

Now, substitute the value of x as 3, we get;

20(3) + y= 75

expand the bracket

y = 75 - 60

y = 15

The number of fidgets is expressed as;

20x/4 = 20(3) /4 = 15

Learn more about linear equations at: https://brainly.com/question/2030026

#SPJ1

Answer:

9

Step-by-step explanation:

12^2+x^2=(x+6)^2

144+x^2=x^2+12x+36

12x=108

x=9

Answer:

d 10

Step-by-step explanation:

Answer:

Answer is D I’ve done it and got it right before

Step-by-step explanation:

Answer:

The first one

Step-by-step explanation:

She cant buy anything over $15, but she can buy something thats $15 :))

We will have the following:

*First: We have that the equation of the circle will be given by:

Here (h, k) is the coordinate of the center of the circle and r is the radius of the circle.

*Second: We will replace the center of the circle and determine the radius:

*Third: We determine the radius of the circle by using the point given:

*Fourth: We have the following expression representing the circle:

So, we replace the point (-2, sqrt(5)) to determine whether or not it belongs to the circle, that is:

Thus proving that the point (-2, sqrt(5)) does lie in the circle.

Answer:

1668.2

Step-by-step explanation:

Answer:

2340

Step-by-step explanation:

Answer:

2340

Step-by-step explanation:

we can conclude that Probability of both Lucy and Zaki hitting the target is 0.4.

According to the statement

we have to find the probability that the both Lucy and Zaki hit the target.

So, For this purpose, we know that the

Probability is the ratio of the number of outcomes in an exhaustive set of equally likely outcomes that produce a given event to the total number of possible outcomes.

So, From the given information:

When Zaki or Lucy throw a ball at the target there are only two outcomes for each of them ( i.e Hit or miss )

Therefore :

The probability of Lucy hitting the target = 0.4/2

And

The probability of Zaki hitting the target = 0.2+0.2/2

So,

The Probability of both Lucy and Zaki hitting the target is:

P(Lucy ) + P(Zaki ) = 0.4/2 + 0.4/2

P(Lucy ) + P(Zaki ) = 0.8/2

P(Lucy ) + P(Zaki ) = 0.4

Hence,

we can conclude that Probability of both Lucy and Zaki hitting the target is 0.4.

Learn more about Probability here

https://brainly.com/question/24756209

#SPJ9

The best prediction possible for the number of times you will pick a marble that is not orange, is 7 times.

The Probability in mathematics is the possibility of an event in time. In simple words, how many times that incident is happening in any given time interval.

Given:

There are 4 pink marbles and 3 orange marbles.

The probability of not picking orange marbles,

= 4/(3 + 4)

= 4/7

If you do this 7 times,

the best prediction possible for the number of times you will pick a marble that is not orange,

= 4/7 x 7

= 4 times

Therefore, number of times is 4.

To learn more about the probability;

brainly.com/question/11234923

#SPJ1

The complete question:

There are 4 pink marbles and 3 orange marbles.

You select a marble without looking and then put it back. If you do this 7 times, what is the best prediction possible for the number of times you will pick a marble that is not orange?

The global maximum value of a differentiable function f(x) on a closed interval [a, b] must occur at a critical value or an endpoint is correct. Statement C.

The critical value is the value of x for which the double derivative of the function f(x) becomes zero.

When double derivative becomes zero, the graph of the function is neither increasing nor decreasing and hence, the the function attains either

a maxima or a minima.

Hence, he global maximum value of a differentiable function f(x) on a closed interval [a, b] must occur at a critical value or an endpoint.

To learn more about critical value visit:

https://brainly.com/question/36886

#SPJ1

Answer:

(3y + a) (b - y)

Step-by-step explanation:

3by - 3y^2 + ab - ay

3y (b - y) + a (b - y)

(3y + a) (b - y)

hope this helps! <3

Dimension of smaller garden :

l = 1/2 ft.

b = 2/3 ft.

Dimension of bigger garden :

L = 4 ft.

Let , breadth be x ft.

We know , area is given by :

Area = L×B.

Area of small garden = \(\dfrac{1}{2}\times\dfrac{2}{3}=\dfrac{1}{3}\ ft^2\)

Area of big garden \(=4\times x=4x\ ft^2\)

Hence, this is the required solution.

The inverse of f(x) = x^(7/9) using exponential notation is f(x) = x^(9/7)

An inverse function in mathematics is a function that "undoes" another function.

In other words, if f(x) yields y, then y entered into the inverse of f yields the output x.

An invertible function is one that has an inverse, and the inverse is represented by the symbol f⁻¹.

The given function is of the form

f(x) = x^(7/9), this is equivalent to ⁹√x⁷

say f(x) = y, then

f(x) = y = x^(7/9)

y = x^(7/9)

solving for the inverse, of y = x^(7/9)

y = x^(7/9)

y^(9/7) = x

interchanging the letters

y = x^(9/7)

hence the inverse function is solved to be f⁻¹(x) = x^(9/7)

Learn more about inverse function :

https://brainly.com/question/11735394

#SPJ1

Answer: 2/90 = 1/45

Step-by-step explanation:

Answer:

E,and 3

Step-by-step explanation:

Hope that helped.

Answer:

A. |9|, D.-9, E. 9

Step-by-step explanation:

.................

Answer:

A

Step-by-step explanation:

Answer:

the is a. $3,334.26

Step-by-step explanation:

Answer:

Ellipse

Step-by-step explanation:

From the given information:

Suppose the plane cuts the cone in such a manner that the plane is neither perpendicular nor parallel to the axis and also the angle of intersection is greater than the generator angle.

Then the conic section formed is an Ellipse.

The Conic Section that is formed from the intersection of the central axis at an angle between 40° and 90° will be An Ellipse.

Let us consider that the plane cuts the cone in such a manner that the plane is neither perpendicular nor parallel to the axis and also the angle of intersection is greater than the generator angle.

Thus, we can say that when the plane intersects the double-napped cone in such a manner that the angle between the vertex and the angle is greater than the vertex angle.

Then the resulting conic section formed is an Ellipse.

Read more about Plane Transformation;

brainly.com/question/4289712

#SPJ5

Answer:

14

Step-by-step explanation:

Because 1/4 of women have a disability, you would expect 1/4 * 56 = 14 women to have a disability out of 56 women.

Answer:

224

Step-by-step explanation:

You divide 56 divided by 1/4 and you will get your answer

After 18 years, the investment compounded periodically (quarterly) will be worth $1,230.23 more than the investment compounded annually.

Compounded interest refers to the interest system that charges interest on both principal and accumulated interest.

The period of compounding in a year determines the worth of the future value.

The future value can be ascertained using an online finance calculator as follows:

Interest periods: = 4 times yearly (Quarterly)

Principal = $5,000

Annual interest rate = 9%

Number of years: 18

N (# of periods) = 72 quarters (18 years x 4)

I/Y (Interest per year) = 9%

PV (Present Value) = $5,000

PMT (Periodic Payment) = $0

Results:

Future Value (FV) = $24,815.83

Total Interest = $19,815.83

Interest periods: = Annually

N (# of periods) = 18 years

I/Y (Interest per year) = 9%

PV (Present Value) = $5,000

PMT (Periodic Payment) = $0

Results:

Future Value (FV) = $23,585.60

Total Interest = $18,585.60

Difference in Future Values $1,230.23 ($24,815.83 - $23,585.60)

Thus, an investment compounded periodically earns more than an investment compounded annually.

Learn more about compounded interest at https://brainly.com/question/28020457.

#SPJ1

The values of x for which f(x) = 7 are x = 61 and x = 21.

To find the values of x for which f(x) = 7, we can set up the equation and solve for x.

The given function is f(x) = 0.5|x - 41| - 3.

Setting f(x) equal to 7, we have:

0.5|x - 41| - 3 = 7.

First, let's isolate the absolute value term:

0.5|x - 41| = 7 + 3.

0.5|x - 41| = 10.

To remove the absolute value, we can consider two cases:

Case: (x - 41) is positive or zero:

0.5(x - 41) = 10.

Multiplying both sides by 2 to get rid of the fraction:

x - 41 = 20.

Adding 41 to both sides:

x = 61.

So x = 61 is a solution for this case.

Case: (x - 41) is negative:

0.5(-x + 41) = 10.

Multiplying both sides by 2:

-x + 41 = 20.

Subtracting 41 from both sides:

-x = -21.

Multiplying both sides by -1 to solve for x:

x = 21.

So x = 21 is a solution for this case.

Therefore, the values of x for which f(x) = 7 are x = 61 and x = 21.

for such more question on values

https://brainly.com/question/11546044

#SPJ8

Answer:

11/320

Step-by-step explanation:

the probability of a senior being chose first is 22 (seniors) divided my total number of students (80) is .275 percent.

multiplied by the probability of a sophomore being chosen 10/80 which equals .125.

multiply those together and you get your probability. 0.034375 or 11/320

Step-by-step explanation:

x = father's age now

y = son's age now

x = 2y + 10

x - 20 = 5(y - 20) = 5y - 100

using the first in the second equation :

2y + 10 - 20 = 5y - 100

-10 = 3y - 100

90 = 3y

y = 30

x = 2y + 10 = 2×30 + 10 = 60 + 10 = 70

the father is now 70 years old, the son now 30 years old.