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.
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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.
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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)
The outcome of the first event does affect the outcome of the second, so that the probability is changed
Answer:
Dependent Events
Step-by-step explanation:
Suppose we have 3 balls 1,2,3 and we have to find the probability of choosing one ball.
If the first ball is chosen the probability will 1/3 leaving behind 2 balls in the bag. If the first ball is not replaced and we have to choose again the probability of choosing the second or third ball would be 1/2 which is changed from the original probability of choosing 1 ball out of 3. In this the outcome of the first event does affect the outcome of the second, so that the probability is changed. This is when choosing is done without replacement.
In this the events are called dependent events.
Consider this scenario again and suppose we replace the first ball after it is chosen back into the bag. Then again we choose another ball . And the probability of choosing the second ball after replacement remains the same as choosing the first ball. In this he outcome of the first event does not affect the outcome of the second, so that the probability remain the same. This is done by replacement.In this the events are independent.
The radius of a circle is 3 yards. What is the circle's area?
r=3 yd
)) Use 3.14 for a.
how many 20 dollar bills and 50 dollar bills
linked picture
Answer:
3 $50's and 12 $20's
Step-by-step explanation:
I believe this is the correct answer, good luck
Answer:
8.9 billion in 20dollar and 1.7 billion in 50 dollar
A car is purchased for $30,000. The value of the car depreciates annually so that it is $24,000 after 1 year, $19,200 after 2 years, and $15,360 after 3 years. Why can this situation be modeled using an exponential function?
The value of the car depreciates annually by 20%.
The value of the car depreciates annually by 80%.
The value of the car depreciates annually by $6,000.
The value of the car depreciates annually by $4,800.
Answer:
It annually drops by 20%
Step-by-step explanation:
30,000 multiplied by 20% is 6000. Subtract 6000 from 30,000 and you get 24,000. 24,000 multiplied by 20% is 4,800. Subtract 4,800 from 24,000 and you get 19,200. Etc.
Write an expression equivalent to
72 using operations with
exponents.
(Will mark brainliest)
Answer:
Step-by-step explanation:
2x6²( = 2x36 ) = 72
please help, need help asap!
Quadrilateral A B C D is the image of a quadrilateral ABCD under a rotation about point P
Determine the angle of the rotation
-105
-75
75
105
Answer:
D. 105°Step-by-step explanation:
If we connect points C and C' with the center of rotation P, the angle CPC' appears greater than 90°, so the angle could be 105° or - 105°
Since the rotation is counterclockwise the angle of rotation is deemed as positive.
Correct choice is D.
Point P' is the image of the point P after a counterclockwise rotation of 90 degress about the origin. If the coordinates of point P' are (-7,-3) what are the coordinates of point P?
A. (-3,-7)
B. (-3,7)
C. (3,-7)
D. (3,7)
Part D How do the measures of the sides and angles of ABC compare with the corresponding measurements in the three Images?
Answer:
The measurements of the sides and angles of triangle ABC are the exact same as the measurements in the three images.
Step-by-step explanation:
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Answer:
3) H' = (-5,-4) I' = (-2,2) J' = (-2,-4)
4) K' = (-8,-3) L' = (-8,-8) M' = (-6,-8)
5) N' = (2,1) O' = (1,6) P' = (-2,3)
6) Q' = (0,3) R' = (-1,-2) S' = (3,1)
Step-by-step explanation:
All you have to do is exactly what the directions tell you to do. First, plot the original image of the triangle (The letters without the apostrophe (') behind it), and then recreate it on the opposite side of whatever axis it tells you to. The x-axis is the horizontal line, and the y-axis is the vertical line.
When you're doing this, think of it as a mirror. The mirror is whatever line it tells you to reflect the image across. The final product will be the exact same image, but reversed to the opposite of the axis chosen.
Let me know below in a comment if something confused you in my explanation, I'll try my best to re-word it better so you can understand :)
If a toy truck is created in a 2:9 scale, and the wheel of the toy is 14cm wide, how wide is the actual wheel?
Answer:63 cm
Step-by-step explanation:
Given
The scale of creation is 2:9
The width of the toy wheel is 14 cm
Suppose x is the actual width of the truck
[tex]\therefore \dfrac{2}{9}=\dfrac{14}{x}\\\\\Rightarrow x=\dfrac{9}{2}\times 14=63\ cm[/tex]
Thus, the width of actual truck is 63 cm
Please can someone help me out with this- I’m really stuck on this problem and I can’t get off of it cause I failed it to much :/
Andy constructed a triangle. Angle 1 and 2 are the same size and angle 3 has a measurement of 100 degrees. What is the measurement of angle 1 and angle 2?
a , 30
b 40
c 60
d 90
Answer:
Angle 1: 40
Angle 2: 40
Step-by-step explanation:
A triangle's angles will ALWAYS add up to 180 degrees total, therefore you can subtract 100 from 180 to find what the measure of A and B are combined.
180 - 100 = 80
So now we know Angles A and B add to 80 degrees, but individually, each is half of that, so both are 40 degrees.
3. How would you explain to someone who has not yet studied trigonometry the
difference between an identity and an equation?
Answer:
Solving an equation means finding the value or values for which the two expressions are equal. ... An identity is an equation which is always true, no matter what values are substituted.
A trig identity is an equation that is true for all values of x;
For example:
sin²x + cos²x will always equal 1 no matter what the value of x.
There are some equations considered to be identities that are in fact not true all the time.
tan(2x) = 2tanx/(1 - tan²x) is not true when x = π/2 (right side is undefined).
A conditional equation is one that is true for a subset of the real numbers, i.e. for certain values of x, but not all.
For example:
sin²x - 1 = 0 is only true for some values of x.
sin²x = 1
sinx = ±√(1) = ±1
sinx = 1 or sinx = -1
x = sin-11 or x = sin-1(-1)
x = π/2 + 2kπ, k any integer or x = 3π/2 + 2kπ, k any integer (this can be condensed, but left this way for emphasis).
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Seventy-five 6th grade students chose to watch a movie on the last day of school. This is 25% of the 6th-grade class. How many total students are in the 6th grade? *
Answer:
300 students in total
Step-by-step explanation:
25% out of 300 is 75
300 - 75 (25%) = 225
25% (75) + 75% (225) = 100% (300)
Hopefully this helps :3 sorry if wrong :( plz mark brainiest if correct :D your bootiful/handsome! Have a great day luv <3
-Bee~
Answer:
300
Step-by-step explanation:
CAN SOMEONE PLZ HELP ME?? PLZ DO YOU KNOW ABOUT Coordinate Planes??!! plzzzzzz help
Answer:
4
Step-by-step explanation:
Line f is 4 units from the x-axis.
A: {-6, -3, 0, 3, 6}
B: {-5, -3, -1, 1, 2}
C: {-6, -5, -3, -1, 0, 3, 6}
D: {-6, 6}
Step-by-step explanation:
You need to find the function
What is the difference between the mean sales of the shops? А $9.60 B $10.00 С $10.40 D $50.00
Answer:
nsnsjejsndnrndnjjndnd
Step-by-step explanation:
ndsnnssnnsnssnjsjd
jehejwwk
The record low temperature in Fargo, ND is -37F. The record high is 109F what is the difference in the record high and the record low temperature?
F. 72
G.109
H.33
J.146
It’s either 72 or 146 I’m not sure though! Please help. It will be appreciated.
Answer:
Step-by-step explanation:
Answer: i think its 146
Step-by-step explanation:
Angels ABC and DEF are supplementary angles. The measure of angle ABC, in degrees, is given by the expression 2x + 10. The measure of angle DEF, in degrees, is given by the expression 3x - 15. What is the value of x?
Answer:
x = 31°
Step-by-step explanation:
Recall ;
Supplemtary angles summ up to 180°
Given that :
ABC and DEF are Supplementary angles and hence sum up to 180°
ABC + DEF = 180°
(2x + 10) + (3x + 15) = 180
2x + 10 + 3x + 15 = 180
2x + 3x + 10 + 15 = 180°
5x + 25° = 180°
5x = 180 - 25
5x = 155
x = 155 / 5
x = 31°
Please help, I have no idea what is happening!!!
Perform the indicated operation.
Answer:
Yay
Step-by-step explanation:
I get points :3
Answer is 3/4 (I TOOOTALLY did this by myself)
Ummmm so I tried to figure it out but I’m really confused pls help
Answer:
The price of one ticket is $76.
Step-by-step explanation:
5% of $330 is $16.50 and 45% of $330 is $148.50. Add those two together and then add $13 to it. You should get 178 and subtract it from 330 which leads you to 152. It asks for the price of one ticket, so you divide that by 2 which results to $76.
Which of the following is a proportion?
Answer:
the second one
Step-by-step explanation:
Mr. Wilson's new picnic basket is shaped like a cube. Each side is 11 inches long. What is the volume of the picnic basket?
Answer:
1331 in^3
Step-by-step explanation:
Well a cube is all identical So followiung the volume for a cube formula
s^3 or in this case 11^3, its 1331.
HELP PLEASE ASAP A rectangular prism has a length of 19 meters, a height of 13 meters, and a width of 14 meters. What is its volume, in cubic meters?
Answer:
3458
Step-by-step explanation:
help me pls i will give you brainliest
Answer:
A. 36
Step-by-step explanation:
Answer:
A has to be A
Step-by-step explanation:
person above is right
Determina el perimetro de las figuras geometricas que forman la rayuela
Perimetro: L=50 cm
Expresión:
Sustitucion:
P=_______/
La figura es un cuadrado y cada lado mide 50 cm
Answer:
2000cm
Step-by-step explanation:
Rayuela es un juego jugado por niños que se compone de 10 cuadrados.
Se nos da a partir de la pregunta anterior, la longitud del lado de un cuadrado = 50 cm
La fórmula para el perímetro de un cuadrado es 4a
Donde a = longitud del lado
El perímetro de 1 cuadrado =
4 × 50 cm
= 200cm
El perímetro de los cuadrados totales en la rayuela.
1 cuadrado = 200 cm
10 cuadrados = x
Multiplicar cruzada
x = 10 × 200 cm
x = 2000 cm
Por lo tanto, el perímetro de las figuras geométricas de una rayuela = 2000cm.
14 more to go please help
Answer:
B) 31.25%
Step-by-step explanation:
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Answer:
B
Step-by-step explanation:
i believe it's plot 1 & 2
