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Yuki888 [10]
2 years ago
9

Solve the problem. In the given image

Mathematics
1 answer:
lapo4ka [179]2 years ago
3 0

The marginal demand to estimate the change in demand when the price is increased by one dollar is -157.

Given, D(p)=-4p^2+3p+8, where p represents the price of the item in dollars.

Currently, the price of the item is $20.

<h3>What is marginal demand?</h3>

In economics, marginal demand refers to the shift in demand for a product or service in reaction to a price adjustment. Normally, as the price of a good or service rises, demand decreases, and vice versa, as the price of a good or service decreases, demand increases.

We have to use the marginal demand to estimate the change in demand when the price is increased by one dollar.

The rate of change of demand with respect to price is obtained by differentiating D with respect to p in D(p)=-4p^2+3p+8.

That is, dD/dp = -8p+3

Given, p = $20

dD/dp = -8×20+3=-157

Therefore, the marginal demand to estimate the change in demand when the price is increased by one dollar is -157.

To learn more about marginal demand visit:

brainly.com/question/16965973

#SPJ1

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Step-by-step explanation:

let : the pair of jeans = X

a. the equation is :

4(X-3) + 8 = 92

b. 4(X-3) = 92-8

4X -12 = 84

4X = 84+12

4X = 96

X = 96/4

X = 24

so, the price of each pair of jeans = $24

_________

For the solution x = 2.6, the left side of equation

(2x - 6) => would be 2(2.6)-6 = 5.2-6 = -8 ( the negative value),

but on the right side of the equation 4x+8 => 4(2.6) +8 = 18.4 ( the positive value)

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4 0
3 years ago
Please could you explain this step by step I’m really stuck.
allochka39001 [22]

Answer:

x = -2.5
x = 2

Step-by-step explanation:

Hello!

We can remove the denominators by multiplying everything by it.

Solve:

  • \frac{5}{x + 3} + \frac4{x + 2} = 2
  • 5 + \frac{4(x + 3)}{x + 2} = 2(x + 3)
  • 5 + \frac{4x + 12}{x + 2} = 2x + 6
  • 5(x + 2) +4x + 12 = (2x + 6)(x + 2)
  • 5x + 10 + 4x + 12 = 2x^2 + 6x + 4x + 12
  • 9x + 22 = 2x^2 + 10x + 12

Let's make one side equal to 0.

  • 0 = 2x^2 + x - 10

Solve by factoring, and then the zero product property.

  • 0 = 2x^2 + x - 10\\

Multiply 2 and -10. You get -20. Think of two number that multiply to -20, and add to 1. If we think about the standard form of a quadratic, ax^2 + bx + c, think two numbers that equal "ac" and add up to "b".

  • 0 = 2x^2 - 4x + 5x - 10
  • 0 = 2x(x - 2) + 5(x - 2)
  • 0 = (2x + 5)(x - 2)

Using the zero product property, set each factor to 0 and solve for x.

  1. 2x + 5 = 0
    2x = -5
    x = -5/2 = -2.5
  2. x - 2 = 0
    x = 2

The two answers are x = -2.5, and x = 2.

3 0
2 years ago
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Find the 14th term of the geometric sequence 7,28,112
Paraphin [41]

Answer: 469762048

Step-by-step explanation:

1: 7*4^0=

7*1=7

2:7*4^1=

7*4=28

3: 7*4^(3-1)=

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14: 7*4^(14-1)=

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5 0
2 years ago
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Based on the percentage of total daily calories in the number of calories needed how many biscuits and packages of pemmican and
zloy xaker [14]

Answer:

Number of biscuit needs = 28 packets

Number of Pemmican needs = 18 packets

Number of Butter cocoa needs = 4 packets

Step-by-step explanation:

GIven:

Total calorie required = 5,600 calories

Biscuits 80 (Calorie per packet) 40% of total diet

Pemmican 140 (Calorie per packet) 45% of total diet

Butter cocoa 210 (Calorie per packet) 15% of total diet

Find:

Number of biscuit, Pemmican and butter cocoa need

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Number of biscuit needs = [5,600(40%)]/80

Number of biscuit needs = [2,240]/80

Number of biscuit needs = 28 packets

Number of Pemmican needs = [5,600(45%)]/140

Number of Pemmican needs = [2,520]/140

Number of Pemmican needs = 18 packets

Number of Butter cocoa needs = [5,600(15%)]/210

Number of Butter cocoa needs = [840]/210

Number of Butter cocoa needs = 4 packets

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y+2=6
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