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olya-2409 [2.1K]
3 years ago
10

Ashley opened a lemonade stand on her street. It costs her $12.50 to buy the supplies each day, and she sells lemonade for $2.50

a cup. If she wants to make at least $200.00 in profits (sales − expenses) each day, what is the minimum number of cups of lemonade Ashley needs to sell? Input your answer as a whole number.
Mathematics
1 answer:
nasty-shy [4]3 years ago
6 0

Answer:

75

Step-by-step explanation:

Subtract sales - expenses

200 - 12.5 = 187.5

2.5x = 187.5

Divide by 2.5 on both sides

187.5/2.5

x = 75

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Step-by-step explanation:

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Which of the following coordinates represents a point that is collinear with the given points.
charle [14.2K]

Answer:

A) (-4,-1)

Step-by-step explanation:

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Hello, Can someone please explain on how to do this? thank you!
Marrrta [24]
Steps:

1) determine the domain

2) determine the extreme limits of the function

3) determine critical points (where the derivative is zero)

4) determine the intercepts with the axis

5) do a table

6) put the data on a system of coordinates

7) graph: join the points with the best smooth curve

Solution:

1) domain

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2) extreme limits of the function

Limit log (x - 3) when x → ∞ = ∞

Limit log (x - 3) when x → 3+ = - ∞ => the line x = 3 is a vertical asymptote

3) critical points

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4) determine the intercepts with the axis

x-intercept: y = 0 => log (x - 3) = 0 => x - 3 = 1 => x = 4

y-intercept: The function never intercepts the y-axis because x cannot not be 0.

5) do a table

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3.0001                  log (3.0001 - 3) = - 4

3.1                       log (3.1 - 3) = - 1

4                          log (4 - 3) = 0

13                       log (13 - 3) = 1

103                     log (103 - 3) = 10

lim x → ∞             ∞

Now, with all that information you can graph the function: put the data on the coordinate system and join the points with a smooth curve.
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