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leva [86]
3 years ago
6

If Starbucks’s marketing department estimates the income elasticity of demand for its coffee to be 2.8, how will the prospect of

an economic bust (expected to decrease consumers’ incomes by 5 percent over the next year) impact the quantity of coffee Starbucks expects to sell?
Mathematics
1 answer:
cluponka [151]3 years ago
6 0

Answer:

The percent change in quantity is -0.14%.

Step-by-step explanation:

The formula to compute the change in quantity is:

Income\ elasticity\ of\ demand=\frac{Percent\ change\ in\ qunatity\ demanded}{Percent\ change\ in\ price}

The income elasticity of demand is 2.80.

Percent change in price is -5% (since the prices decreases)

Compute the percent change in quantity demanded as follows:

Income\ elasticity\ of\ demand=\frac{Percent\ change\ in\ qunatity\ demanded}{Percent\ change\ in\ price}\\2.80=\frac{Percent\ change\ in\ qunatity\ demanded}{-5\%}\\Percent\ change\ in\ qunatity\ demanded=2.80\times(-5\%)\\=-0.14\%

Thus, the percent change in quantity is -0.14%.

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Given that g(x) = 2x ^ 2 - 2x + 8 , find each of the following. a) g(0) b) g(- 2) C) g(3) d) g(- x) e) g(1 - t)
raketka [301]

Answer:

g(-2)=20

Step-by-step explanation:

Given g(x)=2x^2-2x+8, substitute what is in the parentheses for x to find an output.

For g(-2), the term -2 is in the parentheses. Thus, substitute x=-2 into 2x^2-2x+8 to find g(-2):

g(-2)=2(-2)^2-2(-2)+8,\\g(-2)=2\cdot 4+4+8,\\g(-2)=8+4+8,\\g(-2)=\boxed{20}

5 0
2 years ago
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Red roses come 3 to a package, and white roses come 5 to a package. If an equal number of red and white roses are wanted to make
Katen [24]

Answer:

B :- 15

Step-by-step explanation:

Given:

A package of red rose contains = 3 pieces

A package of white rose contains = 5 pieces

If an equal number of red and white roses are wanted to make bouquets, what is the minimum number of each that can be purchased ?

Solution:

As here given that there are two types of package of roses, red roses come 3 pieces to each packet and white roses come 5 pieces to each packet and we have to find equal minimum number of  red roses as well as white roses to be purchased, we will simply find the Lowest common multiple of 3 and 5.

Multiples of 3 :- 3, 6, 9,12, 15, 18, 21, 24

Multiples of 5 :- 5, 10, 15, 20, 25

<em>Lowest common multiple is 15, that means </em><em>15 is the minimum number of pieces of each that can be purchased to make bouquets.</em>

And number of packets of red rose have to purchase = 3 \times <em><u>5</u></em> = 15, 5 packages.

And number of packets of white rose have to purchase = 5 \times <em><u>3</u></em> = 15 , 3 packages.

4 0
3 years ago
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I need help this question?
Masja [62]

Answer:

Correct answer:  F. graph F or x ∈  |-5 ; 5| (including endpoints)

Step-by-step explanation:

Let us first define the absolute value:

| x |  = 1. { x with condition x ≥ 0 }

    or 2. { - x with condition x < 0 }

This is a linear inequality

1.  x ≤ 5  ∧  x ≥ 0   ⇒   0 ≤ x ≤ 5  or interval x ∈  |0 ; 5| (including endpoints)

2. - x ≤ 5  when we multiply both sides of the equation by -1 we get:

x ≥ -5 ∧ x < 0  ⇒  -5  ≤ x < 0 or interval x ∈  |-5 ; 0) (including -5)

The solution to this linear inequality is the union of these two intervals:

x ∈  |-5 ; 0) ∪ |0 ; 5|  ⇒ x ∈ |-5 ; 5| (including endpoints)

x ∈ |-5 ; 5| (including endpoints)

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Factor the following:
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