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BlackZzzverrR [31]
3 years ago
10

Please help me with this math question

Mathematics
1 answer:
spayn [35]3 years ago
6 0
Y=1/9(-1)+4

Explanation:
X=-1 and y=8
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If you buy 3 tickets for 50 cents each and have $.40 left over , how many do u have before purchasing?
Pachacha [2.7K]

Answer:

Step-by-step explanation:

($0.50 * 3) + $0.40= $1.90

5 0
3 years ago
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Jordan said 60% of 150 people is 80 people. His work is shown below. Is his answer correct? Explain why or why not.
Usimov [2.4K]
No that is correct. it is 90 people. because 60% of 150 people is 90 people not 80
5 0
3 years ago
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A motel owner observes that when a room is priced at $60 per day, all 80 rooms of the motel are occupied. For every $3 rise in t
Zinaida [17]

Answer:

a) p(x) = 300 - 3

b) P(x) = -3 x² + 285 x

c) Price of per room per day  = $ 157.5

when Number of rooms occupied , x = 47.5

Step-by-step explanation:

Given - A motel owner observes that when a room is priced at $60 per day, all 80 rooms of the motel are occupied. For every $3 rise in the charge per room per day, one more room is vacant. Each occupied room costs an additional $15 per day to maintain.

To find - a) Find the demand function, expressing p, the price charged for each room per day, as a function of x, the number of rooms occupied.

             b) Find the profit function P(x).

             c) Find the price of per room per day the motel should charge in order to maximize its profit.

Proof -

a)

Let

(x, y) be the point

where x represents number of rooms occupied

and y represents price of room per day.

Now,

Given that,

a room is priced at $60 per day, all 80 rooms of the motel are occupied.

So, point becomes (80, 60)

And  given that For every $3 rise in the charge per room per day, one more room is vacant.

So, point becomes (79, 63)

Now, we have two points (80, 60), (79, 63)

Let us assume that,

p(x) be the price charged for each room per day

Now,

By using point - slope formula , we get

p -60 = \frac{(63 - 60}{(79 - 80)} (x - 80)

⇒p -60 = (-3)(x-80)

⇒p-60 = 240 -3 x

⇒p(x) = 240 + 60 -3 x

⇒p(x) = 300 - 3 x

b)

Given that,

Each occupied room costs an additional $15 per day to maintain.

Let C(x) be the cost function,

Then C(x) =15 x

now,

Revenue function,

R(x) =x*p

      = x*(300 -3 x )

      = 300 x - 3 x²

⇒R(x) = 300 x - 3 x²

Now,

We know

Profit function = Revenue function - Cost function

⇒P(x) = R(x)-C(x)

⇒P(x) = (300 x -3 x²) -15 x

⇒P(x) = -3 x² + 285 x

c)

P'(x) = -6 x +285

For Maximize profit , Put P'(x) = 0

⇒-6 x+ 285 =0

⇒6 x= 285

⇒x = \frac{285}{6}

⇒x= 47.5

∴ we get

Maximize profit is when price, p = 300 - 3x

                                                      = 300 -3(47.5)

                                                      = $157.5

⇒Price of per room per day  = $ 157.5

when Number of rooms occupied , x = 47.5

5 0
2 years ago
PLEASE HELP!!!! IN NEED OF IT
prisoha [69]

Answer:

Below in bold.

Step-by-step explanation:

This is a regular polygon so all sides are congruent, therefore:

The perimeter of the polygon = 6*34 = 204 units.

We can divide the polygon into 6 conguent triangle with height 30 and base 34.

So area of 1 triangle = 1/2*34*30 = 510.

So area of the polygon = 6 * 510 = 3060 unit^2.

Perimeter of the polygon = 6*34 = 204 units.

6 0
2 years ago
The cost of making a phone call is $0.40 plus $0.07 for each additional minute. Write an inequality) to find the number of minut
grandymaker [24]

Answer:

Step-by-step explanation

$20 but im not for sure so if im wrong im sorry

5 0
3 years ago
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