The function f(x)=240x represents the cost of staying at a particular hotel for x nights at the full room rate of $240 per night. The hotel gives its rewards members a discount based on the length of their stay. Each additional night that rewards members stay earns them an additional 5% discount on the total cost of their stay up to a 30% discount. The function d(x)=0.05(x-1) for 1 < x ≤ 7 represents the percentage discount in decimal form for a rewards member staying x nights at the hotel.
(a) Write an equation in simplified form to represent (fd)(x).
(b) Evaluate (fd)(4), and explain what this value represents.
I WILL OFFER BRAINLIEST FOR THE BEST ANSWER!!! HURRY NOW!!

Answers

Answer 1
The answer is A. I will explained how.
Answer 2

A customer earns 1 free night per 10 nights stayed.

What is function?

Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.

Here, we have,

A hotel offers a reward program based on the number of nights stayed. The function f(x) represents the number of free nights earned as a function of x, the number of nights stayed.

f(x)=x/10

When we put x=10, we get f(1)=10/10=1

Here f(1)  represents the number of free nights earned by the customer is 1 per 10 nights stayed.

When we put x=20, we get f(2)=20/10=2

Here f(2)  represents the number of free nights earned by the customer is 2 per 20 nights stayed.

When we put x=30, we get f(3)=30/10=3

Here f(3)  represents the number of free nights earned by the customer is 3 per 30 nights stayed.

When we put x=40, we get f(4)=40/10=4

Here f(4)  represents the number of free nights earned by the customer is 4 per 40 nights stayed.

Then, the pattern permits you to conclude that a customer earns 1 free night for every 10 nights stayed.

To know more about functions:

brainly.com/question/1383113

#SPJ2

complete question:

a hotel offers a reward program based on the number of nights stayed. the function f(x) represents the number of free nights earned as a function of x, the number of nights stayed. f(x)


Related Questions

find the area of the figure

Answers

The answer of the question is
53 ft
Area of the small box is 9
Area of the big box is 44
Add them to get 53 ft in total

Bank account C starts with $10 and doubles each week. Bank account D starts with $1,000 and grows by $500 each week.

When will account C contain more money than account D? Write an equation to represent the situation and solve.

Your help is much appreciated.

Answers

Answer:it will take bank d 8 weeks to get more than bank c

Step-by-step explanation: 10 20 40 80 160 320 640 1280 2560 5120 10240

Can somebody help meeeeeeee

Answers

Answer:

C is the answer

Step-by-step explanation:

Answer:

It's C

Step-by-step explanation:


Which inequalities are true? Select the four correct answers.

Much thanks to whoever helps!!

Answers

The right answer is the First one the second one the third one in the fifth one

3/7 of the students in a school are in sixth grade. How many students are in the school if 63 of them are sixth graders?

Answers

Answer:

There are 147 students in the school.

Step-by-step explanation:

3/7 of the students are in sixth grade, 63 students are in the sixth grade.

take 63 and divide it by the numerator, 3, you get 21.

You now multiply the fraction by 21 to get the full number of students in the school.

3 * 21 = 63, 7 * 21 = 147

So 63 sixth graders out of 147 total students in the school.

what is the solution to the systems of equations? equations - 3x-y= -17 , x-y= -13​

Answers

Answer:

x=1 y=14

multiply x-y=-13 by 3 so the x would cancel out. solve for y

then plug in y to one of the equations to get x

Answer: the answer is x= -2 , y=11

Step-by-step explanation:

First

1: we have to find the answer for x in x-y= -13

2: add y on both sides of the equation

3: we will get x= -13+y

Second

1: Substitute x in 3x-y= -17 with x=-13+y

2: then you will get 3(-13+y)-y= -17

3: multiply 3 with -13 and y

4: you will get -39+3y-y =-17

5: add 3y and -y

6: you will get -39+2y= -17

7: add 39 on both sides of the equation

8: you will get 2y=22

9: divide 2 on both sides

10: you will get y= 11

Third

1: plug 11 for y in x= -13+y

2:  then you will get x= -13+11

3:  you will x= -2

So x= -2 and y= 11

Figure ABDC is similar to LMPN

Answers

Answer:

yes it is I but smaller in size

A man spend 24% of his salary on transportation,25% of the rest on rent and the balance left is 1710 how much was spent on the rent​

Answers

Answer:

About, 492.63.

Step-by-step explanation:

X(.76)(.75) = 1170

X = 1170/(.76)(.75) = about 2052.63

Spent on Transportation is the original amount * .24 = .24*1170/(.75 * .76) = around 492.63.

Please help I'll mark brainliest

Answers

Answer:

y= 3x +2

Step-by-step explanation:

-10x-30y = 6

-30y = 10x +6

y = -1/3x - 1/5

m = -1/3 perpendicular slope would be 3

2x+9y = 18

2(0) +9y = 18

y = 2 = y intercept

y = 3x +2

Rectangle ABCD has vertex coordinates A(1, -2), B(4,-2),
C(4,-4), and D(1,-4). It is translated 1 unit to the left and 3
units up. What are the coordinates of A?
O A. (0,1)
O B. (2,-5)
O C. (4, -3)
O D. (-2,-1)

Answers

[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the concept of Locus of a shape.

Here, the left movement is in x direction and vertical or up movement is in the y direction.

so we get as,

A(1,-2) ==> 1 towards left => 0

and 3 units up => 1

hence the new co-ordinates are A(0,1)

hence, A(0,1) is correct option

The designer sketched a model of the pond. The model drawing had a circumference of 10 inches. What is the Area of the model she drew? Round your answer to the nearest tenth.

Answers

Jordan went to the pond and died soon after.

How should I come out to my parents as lesbian? I'm low-key scared they won't support me, any techniques on how to get over that? :')

Answers

honestly just try to breathe, and when you tell them sit down with them and tell them straight up.      

How do I solve this arithmetic sequence?

Answers

Answer:

The 16ᵗʰ term of this sequence is 82

Step-by-step explanation:

Here,

First Term = a₁ = 9

Common Difference = (d) = 2

Now, For 16ᵗʰ term, n = 16

aₙ = a + (n - 1)d

a₁₆ = 7 + (16 - 1) × 2

a₁₆ = 7 + 15 × 5

a₁₆ = 7 + 75

a₁₆ = 82

Thus, The 16ᵗʰ term of this sequence is 82

-TheUnknownScientist

puntos gratis so solo responde jeje jajajajjajjaajjja

Answers

Answer:

thank you siekrkekkekfjfkkfkfkfkfkkfk

ok

Answer:

muchas gracias los necesitaba xd

Write the mixed number as a percent.

Answers

Answer:

185%

Step-by-step explanation:

Answer: 185%

Explanation: As you can see, the number has a whole number and a fraction. The whole number represents 100%. So, 100% + 17/20 would be your answer.

You must turn 17/20 into a percent.

17/20 = 85%

Add your percentages- 100% + 85% = 185%

Look at the given figure. If the triangles are congruent, give the Congruence theorem. If not, select, not congruent.

a) SSA
b) SAS
c) AAS
d) Not Congruent

Answers

Answer:

D. Not congruent

Step-by-step explanation:

. 5 (3 ⋅ 6) = (5 ⋅ 3) + (5 ⋅ 6

Answers

Answer:

they are not = to each other

Step-by-step explanation:

Inflation is at a rate of 7% per year. Today jennas favorite bread costs $3.79 what would it have cost 10 years ago?

Answers

DO u need the percetage or the price?Step-by-step explanation:

What is the equation for the hyperbola shown?
X
V2
= 1
602
112
72
-
x2
112
1
602
72
x2
=
1
602
112
72
112
x2
602
1

Answers

Answer:

[tex]\frac{x^{2} }{3600} - \frac{y^{2} }{121} = 1[/tex]

Step-by-step explanation:

Since the hyperbola opens left and right with a center at the origin, then

[tex]\frac{x^{2} }{^{2} } - \frac{y^{2} }{b^{2} } = 1[/tex]

In the graph a = 60 and b = 11

So

[tex]\frac{x^{2} }{60^{2} } - \frac{y^{2} }{11^{2} } = 1[/tex].

[tex]\frac{x^{2} }{3600} - \frac{y^{2} }{121} = 1[/tex]

Written Response: Sally believes that 1/2% is equivalent to 50%. Is she correct? Why or why not?​

Answers

Answer:

She is correct.

Step-by-step explanation:

1/2 and 50% is the same thing

50%  is 1/2 of 100

She is indeed correct I agree with the other person

Please help!!!
Which quadrant is -3,-3 located on a coordinate plane?
Quadrant 1
Quadrant 2
Quadrant 3
Quadrant 4

Answers

Answer:

Quadrant 3

Step-by-step explanation:

Someone help me this is mathematics I NEED HELP PLZ

Answers

Answer:

7a-12

Step-by-step explanation:

explanation is in the pic.

if it helps don't forget to like and mark me down

Answer:

Your answer is B. 7a - 12

Because -3a + 15 - 2 + 5(2a - 5) is equal to 7a - 12, When you Simplify the expression your answer would be B.

~Hoped this helped~

~Brainiliest please~

It rained all day, so many people played games. In the ring toss, 4
people won the grand prize, 15 people won the first prize, and 30 people won a consolation prize. How many more people won the first prize than the grand prize?
A. 30 people won a consolation prize.
B. 15 people won first prize.
C. It rained all day, so many people played games.
D. 4 people won the grand prize.

Answers

Answer:

9 more people

Step-by-step explanation:

There are 15 first prize winners and 4 grand prize winners

that means there are 15 - 4 more first prize winners than grand prize winners

15 - 4 = 9

9 more people won first prize than the grand prize

Answer: 9 people.

E plantation

(HELP I BEG U THERE IS 20 MIN LEFT I NEED SLEEP AND I WILL GIVE BRAINLY )

Answers

Answer:

your answer is number 3 or 4 I believe it is both

5(-7)+9(4) I am confused on this problem

Answers

Answer:

the answer is 1

Step-by-step explanation:

Answer:

It's really easy, just need to multiply and add the symbol of the multiplication, the answer is: 1

-35+36=1

25 km
7 km
18 km
24 km
Find the area!!

Answers

Answer:

75600k^4 m^4 Hope that help !

Step-by-step explanation:

1. Take out the constants (25×7×18×24) kkkkmmmm

2. Simplify 25×7=175 (175×18×24)kkkkmmmm

3. Simplify 175×18=3150 (3150×24)kkkkmmmm

4. 3150×24= 75600kkkkmmmm

5. The answer would be 75600k^4 m^4

ASAP ILL GIVE BRAINEST!!!
Find the LENGTH of Arc ABC.

Answers

Answer:

whats this homework called and ill help u

Step-by-step explanation:


Which of the following are identities? ^

Answers

I think it’s A.I’m sorry not that sure

The radius of Cylinder A measures ____ feet.

14, 7, 10

The radius of Cylinder B measures ____ feet.

1.4, 2.8, 5.7

Answers

Answer:

The radius of Cylinder A measures 7 feet.

The radius of Cylinder B measures 2.8 feet.

Step-by-step explanation:

The radius of Cylinder A measures 7 feet.

because the radious is half of the diameter and 14 is the diameter

The radius of Cylinder B measures 2.8 feet.

Answer:

Cylinder A's radius is 7 because the radius is diameter divided by 2.

Cylinder B's radius is 2.8 because the height of Cylinder A is 5 times bigger than Cylinder B's height.

Step-by-step explanation:

Nic sells advertising packages for a radio station. The company pays him $ 150 $150 per week and they also pay him $ 75 $75 for every package he sells. His friend Asia works for the same radio station but she receives a salary only, which is $ 1 , 275 $1,275 per week. How many packages does Nic need to sell in a week to earn as much as Asia?

Answers

Answer:

15 Packages

Step-by-step explanation:

Let number of packages = x

For Nic

Nic sells advertising packages for a radio station. The company pays him $ 150 per week and they also pay him $ 75 for every package he sells.

Equation =

150 + 75x

His friend Asia works for the same radio station but she receives a salary only, which is $ 1 , 275per week.

We solve by equating

150 + 75x = 1275

75x = 1275 - 150

75x = 1125

x = 1125/75

x = 15 Packages

Other Questions
is RbCl soluble or insoluble in water Someone help me this is mathematics I NEED HELP PLZ The cost of g gallons of gasoline can be modeled by C(g) = 2.25gHow much would it cost to buy 12 gallons of gasoline? What is the solution to 9 x 9? Case #1 - An elderly man is found deceased in his apartment. His bodytemperature is 33.1C. Calculate TOD (Hours since death). *8 poir10 hours5 hours22 hoursO 17 hours how would uranus not be classified as a dwarf planet and what i mean by that is there anything that could happen that would just make it a dwarf planet Please Help...Why is it important for people to know about Reconstruction?A short response Pablo wants to enter the science fair. Which question could be answered through scientific investigation? Determine the volume of the product containing carbon produced when 15.0 g of C2H2 are reacted with an excess of oxygen gas For those fluent in Spanish Answer number 37 Watch help vileWrite an explicit formula for an, the nth term of the sequence 19, 25, 31, ..... PLS HELP ASAPi dont understand the question and i cant leave this test to go look at the answer Plz help me I am timed!! On the map of Africa, the star is marking which of the following countries?1) Sudan 2) Somalia 3) Libya 4) South Africa How should I come out to my parents as lesbian? I'm low-key scared they won't support me, any techniques on how to get over that? :') A man spend 24% of his salary on transportation,25% of the rest on rent and the balance left is 1710 how much was spent on the rent what does Risk Management mean Find the missing angle. Please help, test due in 2 hours! Will give good review and brainliest. :) True or False: You cannot beam more than 2 eighth notes together.