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Angelina_Jolie [31]
3 years ago
8

A car travels 120m along a straight road that is inclined at 8° to the horizontal. Calculate the vertical distance through which

the car rises. (Sin8°=0.1392)

Mathematics
1 answer:
Genrish500 [490]3 years ago
3 0
Take a look at this pic. And, if you have any doubt, just ask!

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3) The algebraic process you use to isolate a variable in order to find what values, numbers, etc. will make an equation true. Y
vekshin1

Answer:

  You <u>solve</u> the equation.

Step-by-step explanation:

The process of finding variable values that make the equation true is called <em>solving</em> the equation.

5 0
3 years ago
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
What is the solution of the inequality y ≤ x - 1 ?
Crazy boy [7]

Answer:

no i cant help

Step-by-step explanation:

i just need points

7 0
3 years ago
Solve the equation <br><br> 14 = 9 - p
morpeh [17]

14 = 9 - p

Move 9 to the other side

Sign changes from +9 to -9

14-9= 9-9-p

14-9= -p

5=-p

Mutiply both sides by -1 to get + p

(5)(-1)= (-p)(-1)

p= -5

Answer: p= -5

3 0
3 years ago
What is the definition of inverse operation
barxatty [35]
The reverse effect of another operation
ex multiply - division
3 0
3 years ago
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