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Oliga [24]
1 year ago
9

Let the demand function for a product be q = 100 - 2p. the inverse demand function of this demand function is:_______

Mathematics
1 answer:
Westkost [7]1 year ago
3 0

The inverse demand function of the given demand function is <u>p = 50 - q/2</u>.

A graph that depicts the relationship between a product's price and demand is called a demand curve. On a demand graph, the horizontal axis represents the amount desired, while the vertical axis represents the product's price.

The price is a function of the quantity required when there is an inverse demand curve. The inverse of a demand curve indicates that variations in the amount required cause changes in price levels. The formula for calculating the demand curve for a product yields the graph of an inverse demand curve.

Given demand function: q = 100 - 2p.

To find the inverse demand function, we find the inverse of the equation, by isolating p, to get:

q = 100 - 2p,

or, 2p = 100 - q,

or, p = 100/2 - q/2,

or, p = 50 - q/2.

Thus, the inverse demand function of the given demand function is <u>p = 50 - q/2</u>.

Learn more about inverse functions at

brainly.com/question/3831584

#SPJ4

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A certain bank offers a car loan with a fixed annual interest rate. Justine applied for the loan and used the entire amount to b
natita [175]

Answer: $10000

Step-by-step explanation:

From the question,

Principal = $43000

Time = 5 years

Rate = Unknown

Simple Interest = $51,600 - $43000 = $8600

We need to calculate the rate of interest which will be:

Interest = PRT/100

8600 = (43000 × 5 × Rate) / 100

Cross multiply

8600 × 100 = 215000 × Rate

Rate = 860000 / 215000

Rate = 4%

Assuming Justine borrowed $50,000 instead, the yearly Interest will be:

= (50000 × 5 × 4%)

= 50000 × 5 × 0.04

= $10000

8 0
3 years ago
Find the sum. Write your answer in simplest form. - 4 1/6 + 5 4/7 ​
Kitty [74]

Answer:

1 17/42.

Step-by-step explanation:

Find the common denominator, which is 42.

So change -4 1/6 to -4 7/42.

And change 5 4/7 to 5 24/52.

So add -4 7/42 + 5 24/52 and you'll get: 1 17/42.

(The decimal form of this is 1.404762)

7 0
3 years ago
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How many 7 digit phone numbers are there assuming the first digit can't be a 0 or a 1?
Anettt [7]
The first digit can be any one of the numbers 2-9 That a total of 8 numbers.

The next 6 digits can be any permutation of 6  from the numbers  0 to 9.
(10 numbers)

nPr  =  n! / r!

so here we have  10P6  = 10! / 6!  =  10*9*8*7  =  5040

So final answer  is 8 * 5040 = 40,320
7 0
3 years ago
A bag of peanuts is 4 1/5 ounces. If you have 3/5 of a bag, how many ounces does it weigh?
Nana76 [90]
4\frac{1}{5} ÷ \frac{3}{5} = 7, but Im not 100% sure if thats right. You should pick someone else's answer.
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3 years ago
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Describe the graph that would be used to solve the equation –x2 + 4 = x + 2 using a system of equations. How will you use the gr
gayaneshka [121]

Answer:

The solutions are (-2 , 0) and (1 , 3)

Step-by-step explanation:

∵ -x² + 4 = x + 2

* y = -x² + 4 ⇒ is quadratic represented by parabola

 The parabola open downward because coefficient of x² is negative

 The x-coordinate of its vertex = -b/2a, where b is the

  coefficient of x and a is the coefficient of x²

∴ x = 0/2(-1) = 0

∴ The y-coordinate of the vertex = (0)² + 4 = 4

∴ The maximum point of the parabola is (0 , 4)

∵ -x² + 4 intersects x-axis at y = 0

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∵ x² = 4

∴ x = ±√4 = ± 2

∴ the parabola intersects x-axis at -2 , 2

∵ y = x + 2 represented by a line its slope = 1

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To find all the point of intersection between the 2 equations we will solve them as a system of equations

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∴ -x² + 4 = x + 2

∴ -x² + 4 - x - 2 = 0

∴ -x² - x + 2 = 0 ⇒ × -1

∴ x² + x - 2 = 0 ⇒ factorize

∴ (x + 2)(x - 1) = 0

∴ x + 2 = 0 ⇒ x = -2

∴ x - 1 = 0 ⇒ x = 1

* when x = -2 ⇒ y = -2 + 2 = 0 ⇒ (-2 , 0)

* when x = 1 ⇒ y = 1 + 2 = 3 ⇒ (1 , 3)

The solution graphically

3 0
3 years ago
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