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Assoli18 [71]
2 years ago
10

How many tons are equal to 32,000 pounds?

Mathematics
2 answers:
Phoenix [80]2 years ago
4 0

Answer:

16 tons

Step-by-step explanation:

i hope this helps! have a wonderful rest of ur day :)

and if its not too much to ask will you mark me as brainliest pls, im trying to rank up this month and i only need 3 more, if not then its ok! ty and let me know if theres anything else you need!!

kozerog [31]2 years ago
3 0
16 tons (if I’m not wrong)
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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
3 years ago
8.798 round it to the nearest hundredth
FinnZ [79.3K]

Answer:

8.80

Step-by-step explanation:

When rounding up and you are stuck with nine

You can't say 8.710

Your simply add one to the number before it

8.80 that your answer

7 0
3 years ago
I WILL GIVE BRAINLEST IF YOU ANSWER BOTH WITH EXPLANATION please dont let me fail :(
Lapatulllka [165]
I see grey but if that’s black okay.
2/5

You had a 2/5 chance
He had a 1/4 chance
8 0
3 years ago
Read 2 more answers
Triangle AOC intersects a circle with center O. side AO is 10 inches and the diameter of the circle is 12 inches. What is the le
zvonat [6]

Answer:

AC=8inches

Step-by-step explanation:

It is given that triangle AOC intersects a circle with center O, side AO is 10 inches and the diameter of the circle is 12 inches, thus

OC is the radius of the circle and is equal to \frac{D}{2}=\frac{12}{2}=6 inches.

Now, From ΔAOC, using the Pythagoras theorem, we get

(OA)^{2}=(OC)^{2}+(AC)^{2}

⇒(10)^{2}=(6)^2+(AC)^2

⇒100=36+(AC)^2

⇒64=(AC)^2

⇒AC=8inches

4 0
3 years ago
joel has an average salary of 34840 works 40 hours a week 52 weeks a year.how much money he makes per hour
seropon [69]
40*52= 2080

34840 / 2080 = $16.75 an hour
5 0
3 years ago
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