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DENIUS [597]
4 years ago
8

Nth Term help please

Mathematics
1 answer:
liberstina [14]4 years ago
8 0

\bf \begin{array}{|ll|ll} \cline{1-2} term&value\\ \cline{1-2} a_1&3\\[0.8em] a_2&\stackrel{3\cdot 2}{6}\\[0.8em] a_3&\stackrel{6\cdot 2}{12}\\[0.8em] a_4&\stackrel{12\cdot 2}{24}\\[0.8em] a_5&\stackrel{24\cdot 2}{48}\\[0.8em] a_6&\stackrel{48\cdot 2}{96} \\ \cline{1-2} \end{array}

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On a certain​ route, an airline carries 8000 passengers per​ month, each paying ​$70.A market survey indicates that for each​ $1
son4ous [18]

Answer:

The maximum revenue is $661,250.

Step-by-step explanation:

The total revenue (R) is the product between the number of passengers (N) and the price of each ticket (P), so the inicial revenue is:

R = N * P = 8000 * 70 = $560,000

For each 1$ increase in the ticket, the airline loses 50 passengers, so if we call "x" the increase in the ticket price, we have that the revenue equation will be:

R = (8000-50*x) * (70+x) = 560000 + 8000*x - 50*70*x -50x2

R = -50*x2 + 4500*x + 560000

The value of x that gives the maximum value of a quadratic function is found using the formula:

x = -b/2a

where a and b are coefficients of the quadratic equation (in our case, a = -50 and b = 4500)

So the value of x that gives the maximum revenue is:

x = -4500 / (-100) = 45

Using this value in the revenue equation, we have that the maximum R is:

R = -50*45^2 + 4500*45 + 560000 = $661,250

(To get this revenue, the ticket will cost 70+45 = $115 and there will be 8000-50*45 = 5750 passengers)

3 0
3 years ago
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Serjik [45]
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Find the number of real number solutions for the equation.x2 − 2x + 9 = 0
Talja [164]
Hi there!

We can use the discriminant of the quadratic formula to find the number of real solutions to this (or any other quadratic) equation.

The discriminant can be found by plugging in the data from the equation into the following formula:
d = {b}^{2} - 4ac \\ with \: y \: = a {x}^{2} + bx + c

When we fill in the data from the question we get
d = ( - 2) {}^{2} - 4 \times 1 \times 9 = 4 - 36 = - 32

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4 0
3 years ago
Seventy-five college students are taking part in a study initiated by a large computer manufacturer. The company is designing a
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Answer:

c

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4 0
3 years ago
Read 2 more answers
Help please!!!!!!!!!!!
AlexFokin [52]
Angle GQK=90
GQK=GQL+LQK
90=3n+(4n-15)
n=15
Therefore angle LQK=4(15)-15
=45
6 0
4 years ago
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