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topjm [15]
3 years ago
9

A renowned fashion brand launches a line of evening wear while the economy is booming. How will this economic scenario influence

sales?
Advanced Placement (AP)
1 answer:
Ray Of Light [21]3 years ago
5 0

Answer:

This economic scenario will <em>increase the sales for the fashion brand's line of evening wear.</em>

Explanation:

An economic boom occurs when the Gross Domestic Product (GDP) of a country increases. <u><em>The GDP refers to the total or sum of all market values of products and services in a country for a particular time.</em></u> The value measures the country's economic activity for that period.

At this time, businesses are very interested in <em>investing.</em> They also <u><em>increase their production</em></u>, which, in turn, affects the income of families. Once the production increases, the sales also increases because families are able to afford the items or services.

In the situation above, the fashion brand will most likely increase the sales because many people have the buying power for evening wears. People will be able to afford it because they have good income.  

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3 years ago
1. The rate at which people enter a movie theater on a given day is modeled by the function S defined by S(t) = 80 -12 cos 6 The
Arlecino [84]

Hi there!

a.

To find the total amount of people that have ENTERED by t = 20, we must take the integral of the appropriate function.

\text{Amount that entered} = \int\limits^{20}_{10} {S(t)} \, dt \\\\ = \int\limits^{20}_{10} {80 - 12cos(\frac{t}{5})} \, dt

Evaluate using a calculator:

= 899.97 \approx \boxed{900\text{ people}}

b.

To solve, we can find the total amount of people that have entered of the interval and subtract the total amount of people that have left from this value.

In other terms:
\text{Amount of people} = \int\limits^{20}_{10} {S(t)} \, dt - \int\limits^{20}_{10} {R(t)} \, dt

We can evaluate using a calculator (math-9 on T1-84):


\text{\# of people} = \int\limits^{20}_{10} {80-12cos(\frac{t}{5})} \, dt - \int\limits^{20}_{10} {12e^{\frac{t}{10}}+20} \, dt

= 899.97 - 760.49 = 139.47 \approx \boxed{139 \text{ people}}

c.

If:
P(t) = \int\limits^t_{10} {S(t) - R(t)} \, dt

Then:

\frac{dP}{dt}  = P'(t)= \frac{d}{dt}\int\limits^t_{10} {S(t) - R(t)} \, dt  = S(t) - R(t)

Evaluate at t = 20:


S(20) = 80 - 12cos(\frac{20}{5}) = 87.844\\\\R(20) = 12e^{\frac{20}{10}} + 20 = 108.669

S(20) - R(20) = 87.844 - 108.669 = -20.823

This means that at t = 20, there is a <u>NET DECREASE</u> of people at the movie theater of around 20.823 (21) people per hour.

d.

To find the maximum, we must use the first-derivative test.

Set S(t) - R(t) equal to 0:

80 - 12cos(\frac{t}{5}) - 12e^{\frac{t}{10}} - 20 = 0\\\\60 - 12(cos(\frac{t}{5}) + e^{\frac{t}{10}})= 0

Graph the function with a graphing calculator and set the function equal to y = 0:

According to the graph, the graph of the first derivative changes from POSITIVE to NEGATIVE at t ≈ 17.78 hours, so there is a MAXIMUM at this value.

<u>Thus, at t = 17.78 hours, the amount of people at the movie theater is a MAXIMUM.</u>

8 0
2 years ago
Is this correct?? , if is correct could tell me why (:
larisa [96]
You are correct! Just follow the diagram and look up the definitions of the words.
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3 years ago
What is a literary requirement for voting ,and how was it used to deny suffrage to certain groups
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Why it would be more difficult to pass a budget in 2019 compared to 2021?
Yuri [45]

Answer:

Yes because in 2021 you have to take more into accountability, such as social distancing, masks, corona guidelines, and other things.

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3 years ago
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