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Elanso [62]
1 year ago
14

The price p (in dollars) and the demand X for a particular clock radio are related by the equation X = 3000 -10p. Find and answe

r A - D

Mathematics
1 answer:
alukav5142 [94]1 year ago
6 0

The price p based on the equation given is p = 3000 - 0.1x.

<h3>How to express the price?</h3>

The equation given in the question is x = 3000 - 10p. The price(p) will be:

x = 3000 - 10p.

Make p the subject of the formula

x + 10p = 3000

10p = 3000 - x

p = (3000 - x)/10

p = 3000 - 0.1x

The revenue will be price multiplied by quantity. This will be:

= (3000 - 0.1x) × x

= 3000x - 0.1x²

The marginal revenue will be calculated after differentiating. This will be:

= 3000x - 0.1x²

= 3000 - 0.2x

The demand which is the quantity based on the information will be:

3000 - 0.2x = 0

0.2x = 3000

x = 1500

Learn more about demand on:

brainly.com/question/1245771

#SPJ1

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Find the area of the isosceles triangle. please help thanks
fiasKO [112]

Answer:

1080 m^2 Don't submit m^2 in your answer.

Step-by-step explanation:

Givens

The catch is to find h

To do that, use a^2 + b^2 = c^2

a b and c are in the same 1/2 triangle.

a = 48/2 = 24 m

b = h = ?

c = 51 meters

Solution

a^2 + b^2 = 51^2                      Substitute for b^2 = h^2

24^2 + h^2 = 51^2                   Expand 24^2 and 51^2

576 + h^2 = 2601                    Subtract 576 from both sides

h^2 = 2601 - 576

h^2 = 2025                              Take the square root of both sides

h = 45

Area

Area = 1/2 b * h

Area = 1/2 48 * 45

Area = 1080

Remark

Notice that to find h you only use 1/2 of 48 because that is the base of the right triangle.

To find the area, you need to use all of 48 because 48 is the full length of the base.

5 0
3 years ago
Math question I need help with
muminat
Let's you and me discuss a few things that you already know:

-- What's a y-intercept ?
The y-intercept on a graph is the place where it crosses the y-axis.

-- That's the value of 'x' at the y-intercept ?
The y-intercept is on the y-axis, so 'x' is zero there.

-- Good !  So how would you find the y-intercept of a function ?
You say that  x=0  and look at what 'y' is.

-- Very nice.  What's the function in this question ?
The function is

             f(x)  [or 'y']  =  x⁴ + 4x³ - 12x² -32x + 64   .

--  Excellent.   What's the value oif that function  (or 'y')  when  x=0  ?   

       It's just  64 .

-- Beautiful.
   Are there any answer choices that cross the y-axis at  64 ?
   How many are there ?

   There's only one.
   It's the upper one on the right hand side.
3 0
3 years ago
Write a polynomial function f of least degree that has rational coefficients, a leading coefficient of 1, and the zeros −3 and 5
love history [14]

Answer:

<em>f(x) = x² (2+i)x-15-3i</em>

Step-by-step explanation:

Since the zeros of the equation are -3 and 5+i, hence the factors of the polynomial in x is (x+3) and (x-(5+i))

Multiplying both factors

f(x) =  (x+3)(x-(5+i))

f(x) = (x²-(5+i)x+3x -3(5+i))

f(x) = x² - (5+i- 3)x -15-3i

f(x) = x² (2+i)x-15-3i

<em>hence the required polynomial function in x is f(x) = x² (2+i)x-15-3i</em>

7 0
3 years ago
The sum of 4.5 and a number K is 26.2​
garri49 [273]

Answer:

Your answer should be K=21.7

You can find this by subtracting 26.2-4.5

3 0
2 years ago
The number of views on an interesting video after it's uploaded is represented by the following table:
defon

Answer:

The model for V(t) ,the number of views, t ,months after it's uploaded, best fits the data is ,V(t)=50(6.25)^t

Step-by-step explanation:

Time (months)         Views

0                                  50

2                                  313

4                                  1950

6                                  12,210

8                                  76,300

10                                 476,800

(x_1,y_1)=(0,50)\\(x_2,y_2)=(2,313)\\(x_3,y_3)=(4,1950)

Slope = \frac{y_2-y_1}{x_2-x_1}

Slope = \frac{313-50}{2-0}

Slope =131.5

Slope = \frac{y_3-y_2}{x_3-x_2}

Slope = \frac{1950-313}{4-2}

Slope =818.5

Since the slope is not same . So, it is not a linear relationship

\frac{y_2}{y_1}=\frac{313}{50}=6.25\\\frac{y_3}{y_2}=\frac{1950}{313}=6.25

Since the ratio between the consecutive outputs is same so, it is exponential relationship.

Formula : y=ab^t

Where a is the initial value = 50

b = rate of change = 6.25

The model for V(t) ,the number of views, t ,months after it's uploaded, best fits the data

So,V(t)=50(6.25)^t

5 0
2 years ago
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