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anygoal [31]
3 years ago
6

A luxury resort is offering an incentive discount. If you book your room six months in advance, you will save 15% off the price

of the room. You decide to take advantage of the offer and book a room for 6 nights. If the original price per night for the room is $382, what is the total discounted cost for your stay? Round your answer to the nearest cent.
Mathematics
1 answer:
Anna [14]3 years ago
8 0

Answer:the total discounted cost for your stay is $1948.2

Step-by-step explanation:

If you book your room six months in advance, you will save 15% off the price of the room. You decide to take advantage of the offer and book a room for 6 nights. If the original price per night for the room is $382, this means that the value of the discount would be

15/100 × 382 = 0.15 × 382 = $57.3

The cost of the room for a night would be

382 - 57.3 = $324.7

Since you are staying for six nights,

the total discounted cost for your stay would be

324.7 × 6 = $1948.2

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Does anyone know how to do this?? Help please!!!!
Doss [256]

Answer:

When we have a rational function like:

r(x) = \frac{x + 1}{x^2 + 3}

The domain will be the set of all real numbers, such that the denominator is different than zero.

So the first step is to find the values of x such that the denominator (x^2 + 3) is equal to zero.

Then we need to solve:

x^2 + 3 = 0

x^2 = -3

x = √(-3)

This is the square root of a negative number, then this is a complex number.

This means that there is no real number such that x^2 + 3 is equal to zero, then if x can only be a real number, we will never have the denominator equal to zero, so the domain will be the set of all real numbers.

D: x ∈ R.

b) we want to find two different numbers x such that:

r(x) = 1/4

Then we need to solve:

\frac{1}{4} = \frac{x + 1}{x^2 + 3}

We can multiply both sides by (x^2 + 3)

\frac{1}{4}*(x^2 + 3) = \frac{x + 1}{x^2 + 3}*(x^2 + 3)

\frac{x^2 + 3}{4} = x + 1

Now we can multiply both sides by 4:

\frac{x^2 + 3}{4}*4 = (x + 1)*4

x^2 + 3 = 4*x + 4

Now we only need to solve the quadratic equation:

x^2 + 3 - 4*x - 4 = 0

x^2 - 4*x - 1 = 0

We can use the Bhaskara's formula to solve this, remember that for an equation like:

a*x^2 + b*x + c = 0

the solutions are:

x = \frac{-b +- \sqrt{b^2 - 4*a*c} }{2*a}

here we have:

a = 1

b = -4

c = -1

Then in this case the solutions are:

x = \frac{-(-4) +- \sqrt{(-4)^2 - 4*1*(-1)} }{2*(1)} = \frac{4 +- 4.47}{2}

x = (4 + 4.47)/2 = 4.235

x = (4 - 4.47)/2 = -0.235

5 0
3 years ago
How many petals are present when there are 12 leaves
Liono4ka [1.6K]
B. 30 petals 
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4 0
3 years ago
The graph shows the dilation of quadrilateral MNOP with the origin as its center. Which rule describes this transformation?
lana66690 [7]

Answer:

D) (x, y) → (1/3x , 1/3 y)

Step-by-step explanation:

A dilation is a change of size, if the dilation factor is greater than 1, then the figure is enlarged.  If the dilation factor is smaller than 1, the figure is shrinked.  In both cases, the coordinates are MULTIPLIED by the dilation factor.

Among the 4 choices, only 2 are dilations.  One is with a dilation factor of 3 (A), which means the shape was enlarged.  And the other is with  dilation factor of 1/3, meaning the shape was shrinked.

Since we went from MNOP (LARGE one) to M'N'O'P' (small one), the dilation factor was < 1... so 1/3 is the answer.

Answers B and  C show a translation/movement of the shape, not a dilation.

8 0
3 years ago
Please tell me if I got this one right or not
Lunna [17]

Answer:no

the answer is c

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
PLEASE HELP!!!!! WILL GIVE 5 STARS!! BRAINLIEST ANSWER!!!! 25 POINTS!!!!!
OLga [1]
0.7m=117-750.7m=42/0m=42/0m=60 miles they will be costing the same
7 0
3 years ago
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