HELP ASAP! explain please <br> Find the sum of the Arithmetic sequence<br> 2 + 4 + 6+...+ 2n

kobusy [5.1K]

The ticket price which will maximize the student's council is: C. $3.10.

<h3>What is price?</h3>

Price can be defined as an amount of money which is primarily set by the seller of a product, and it must be paid by a buyer to the seller, so as to enable the acquisition of this product.

Based on the information provided about Valley High School student council, we can logically deduce the following data:

Total number of students = 420 students.

Lowest ticket price = $2.00.

Increase in ticket price = $0.20.

Attendance = 20 fewer students

<h3>How to determine the ticket price?</h3>

Mathematically, the equation which model the profit is given by:

Profit = price × number of tickets sold

P(x) = (2 + 0.2x)(420 - 20x)

P(x) = 840 + 84x - 40x - 4x²

P(x) = -4x² + 44x + 840.

For any quadratic equation with a parabolic curve, the axis of symmetry is given by:

Xmax = -b/2a

Xmax = -44/2(-4)

Xmax = -44/-8.

Xmax = 5.5

Ticket price for maximum profit is given by:

Ticket price = 2 + 0.2x

Ticket price = 2 + 0.2(5.5)

Ticket price = $3.10.

Read more on maximized profit here: brainly.com/question/13800671

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8 0

2 years ago

What is the approximate perimeter of a semicircle with a radius of 8 m? Use pi star times = 3.14. Express your final answer to t

irga5000 [103]

The perimeter of a semicircle consists of two parts. (the curve and bottom)
That curve is half the distance around the circle, since it's been split in half.
The distance around a circle, the circumfrence, is equal to 2πr, where r is the radius of that circle. In this case, the circumfrence of the entire circle would be 16π. and so that curve would have a length of just 8π.
Using 3.14 for π, 8π = 8×3.14 = 25.12.
As for the flat part, that is the diameter (distance across) our circle.
The radius is the distance from the center of a circle to its edge, and always has half the length of the diameter. (you can break the diameter down into two radii)
If our radius is 8 meters, our diameter (the flat part of that semicircle) must be 16.
Now we add up the two parts of the perimeter...25.12 + 16 = 41.12.

5 0

4 years ago

Record for Boston Marathon's wheelchair division is 1 hour, 18 minutes, and 27 seconds.

aleksley [76]

1 hr 18 minutes and 27 seconds hmmm

there are 60 minutes in 1 hr, thus 18 minutes is 18/60 hrs or 0.3hr.

so 1hr 18min is 1.3 hrs

there are 60 seconds in 1 minute and 60 minutes in 1 hr, thus 60*60 seconds in 1hr, or 3600 seconds, so, 27 seconds is just 27/3600 hrs, or 0.0075 hrs.

so, 1.3 hr or 1.3000 hr for that matter plus 0.0075, is just 1.3075 hrs.

a)

so, they covered 26.2 miles in 1.3075 hrs, so the average speed is just 26.2/1.3075, or about 20.0382409177 miles/hr

b)

$\bf \begin{array}{ccll}
miles&hrs\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
26.2&1.3075\\
30&h
\end{array}\implies \cfrac{26.2}{30}=\cfrac{1.3075}{h}\implies h=\cfrac{1.3075\cdot 30}{26.2}$

8 0

4 years ago

A scientist used a microscope to count the number of bacterial cells in a petri dish every hour. The graph shows the data collec

Alex777 [14]

The required relationship shown by the graph is the exponential relationship $n =2^t$ . Option a is correct,

Given that,

A graph has been shown, showing the data, what is the relationship between the number of bacteria with time is to be determined.

<h3>What is a graph?</h3>

The graph is a demonstration of curves that gives the relationship between the x and y-axis.

Since the recorded value from the graph is
At, t = 1 ; n = 2
At t = 2 ; n = 4
At t = 3 ; n = 8
At t = 4 ; n = 16
At t = 5 : n = 32
Here the above data show the exponential relation between n and t with the base value 2 i.e. $n =2^t$

Thus, the required relationship shown by the graph is the exponential relationship of $n =2^t$ . Option a is correct,

Learn more about graphs here:

brainly.com/question/16608196

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8 0

1 year ago

You work in the state of Nebraska where the sales tax is five and a half percent what would be the tax rate expressed as a decim

dedylja [7]

Just answered this lol

3 0

3 years ago

HELP ASAP! explain please Find the sum of the Arithmetic sequence 2 + 4 + 6+...+ 2n