Answer:
True
Step-by-step explanation:
Use function notation to write a recursive formula to represent the sequence: 4, 8, 12, …
Answer:
f(1) = 4f(n) = f(n - 1) + 4Step-by-step explanation:
Given the sequence:
4, 8, 12, …The first term is 4 and common difference is 4
Recursive formula:
f(1) = 4f(n) = f(n - 1) + 4Revenue from Monorail Service, Las Vegas In 2005 the Las Vegas monorail charged $3 per ride and had an average ridership of about 28,000 per day. In December 2005 the Las Vegas Monorail Company raised the fare to $5 per ride, and average ridership in 2006 plunged to around 19,000 per day.
a. Use the given information to find a linear demand equation.
b. Find the price the company should have charged to maximize revenue from ridership. What is the corresponding daily revenue?
c. The Las Vegas Monorail Company would have needed $44.9 million in revenues from ridership to break even in 2006. Would it have been possible to break even in 2006 by charging a suitable price?
Answer:
A)The required linear demand equation ( q ) = -4500p + 41500
B) $4.61
$95680.55
C) No it would not have been possible by charging a suitable price
Step-by-step explanation:
A) find the linear demand equation
given two points ; ( 3, 28000 ) and ( 5, 19000 )
slope ( m ) = ( y2 - y1 ) / ( x2 - x1 )
= ( 19000 - 28000 ) / ( 5 - 3 ) = -4500
slope intercept is represented as ; y = mx + b
where y( 28000) = -4500(3) + b
hence b = 41500
hence ; y = -4500x + 41500
The required linear demand equation ( q ) = -4500p + 41500 ----- ( 1 )
p = price per ride
B ) Determine the price the company should charge to maximize revenue from ridership and corresponding daily revenue
Total revenue ( R ) = qp
= p ( -4500p + 41500 )
hence R = -4500p^2 + 41500p ------ ( 2 )
To determine the price that should maximize revenue from ridership we will equate R = -4500p^2 + 41500p to a quadratic equation R(p) = ap^2 + bp + c
where a = -4500 , b = 41500 , c = 0
hence p = [tex]-\frac{b}{2a}[/tex] = [tex]- \frac{41500}{2(-4500)}[/tex] = 4.61
$4.61 is the price the company should charge to maximize revenue from ridership
corresponding daily revenue = R = -4500p^2 + 41500 p
where p = $4.61
hence R = -4500(4.61 )^2 + 41500(4.61) = $95680.55
C) No it would not have been possible by charging a suitable price
9. The side of a rectangle was 56 feet long. It is now 8 feet long. What was the scale factor was
used?
8 ft
56 ft
Answer:
56ft
Step-by-step explanation:
because 还是故事还是vs酒吧睡觉把书本上
please help me 30 points
Answer:
∠U = 31°
Step-by-step explanation:
∠W has an exterior angle next to it, making them supplementary angles. This means they equal 180° together. First, we solve for ∠W:
∠W + 84 = 180
∠W = 96
We know that ∠W is 96°.
We know that the sum of the angles of a triangle is 180°. Knowing that we can solve for ∠U:
96 + 53 + ∠U = 180
149 + ∠U = 180
∠U = 31
Therefore, ∠U = 31°
Solution to this equation -2 = t3
Answer:
Step-by-step explanation:
to find out t, we divide by 3 both sides
-2/3=t
t=-2/3
x + 2 + (1.5x -6) =16 what is X
Answer:
8+2+(1.5*8-6)
Step-by-step explanation:
8=x
Answer:
x = 8
Step-by-step explanation:
x + 2 + (1.5x - 6) = 16
2.5x - 4 = 16
2.5x = 20
x = 20/2.5
x = 8
A local catering company ordered 15 pounds of chicken, 21 pounds of beef, and 7 pounds of lobster. The cost of the chicken was $2 per pound, the cost of the beef was $4 per pound, and the cost of the lobster was $12 per pound. What was the total cost of the order?
the total price of the catering company's order was $198.
To discover the total value of the order, we need to multiply the kilos of every type of meat via its respective cost in keeping with pound and then add those products together.
For the chook:
15 pounds x $2 per pound = $30
For the beef:
21 kilos x $4 per pound = $84
For the lobster:
7 pounds x $12 per pound = $84
Now, we add up the costs of each form of meat to find the total cost of the order:
$30 + $84 + $84 = $198
Consequently, the whole price of the catering company's order was $198.
Learn more about multiplication:-
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Help need this fast graphs
Answer:
Step-by-step explanation:
Positive linear :). It’s going in a higher of direction so when the Y value rises the of thIt’s going in a higher of direction so when the Y value rises the X value also rises
Identify the vertex of the function, Ax) = 3(x - 1)2 + 5.
O (-1,5)
(1,5)
O (5,-1)
O (5,1)
Which one?
Answer:
The third one I think, O (5,-1), but I'm not sure if I'm correct or not.
Step-by-step explanation:
Answer:
O(5,1)
Step-by-step explanation:
It's O(5,1) function
The cost of renting a canoe to use on River Y costs $38. The cost of renting a canoe to use on River Z costs $4 per hour plus a $14 deposit. The total cost, c, of renting a canoe on either river for n hours can be represented by an equation. Write and graph a system to find how many hours you have to rent a canoe for the cost to be the same on both rivers.
Answer:
see the attachment
Step-by-step explanation:
The cost for River Y is a constant (not dependent upon hours), so is c = 41.
The cost for River Z is the sum of the deposit and the hourly cost, so is ...
c = 13+4n
These equations and their graphs are shown in the attachment. The graphs cross where n=7, indicating you have to rent a canoe for 7 hours for the cost to be the same on both rivers.
what is the missing value in the table below?
Hours
Minutes
2
120
3
?
7
420
10
600
180
270
300
360
Answer:
is 60
Step-by-step explanation:
4. If two times a number increased by 5 equals 9, then find the number
Answer: x = 2
Step-by-step explanation:
Let x represent the unknown number:
2x + 5 = 9
Subtract 5 from both sides
2x = 4
Divide both sides by 2
x = 2
There are 600 children in a Mathematics Club. 450 of them are boys and
the rest are girls. Find the percentage of the children in the Mathematics
21.
club who are girls.
Answer:
25%were girls.
hope it helps..
The tourism industry hires a marketing company to promote overseas vacations. The marketing companies research shows a +0.72 correlation between the number of overseas vacations booked and amount of free time, in days, people have each year. Therefore, the marketing company decides to develop an advertising campaign aimed specifically at people, who have lots of free time.
Which of the following is true about this decision?
a. The decision may not be a good one, since it is possible that there is a "lurking" variable, such as income, behind both the number of booked overseas vacations and the number of free days people have each year.
b. The decision is a good one, since we know that the number of free days people have cause them to book more vacations.
c. The decision is a good one, since there is a strong positive relationship between number of booked vacations and the number of free days people have each year.
d. The decision is may not be a good one, since there is a strong positive relationship between number of booked vacations and the number of free days people have each year.
Answer:
A: The decision may not be a good one, since it is possible that there is a "lurking" variable, such as income, behind both the number of booked overseas vacations and the number of free days people have each year.
Step-by-step explanation:
The correlation coefficient given alone is not sufficient to find out whether the relationship was linear or not. As such there may be a lurking variable and we may therefore have to see the scatter plot diagram to help us know if the relationship was a linear one or not.
A farmer is going to divide her 30 acre farm between two crops. Seed for corn costs $15 per acre. Seed for wheat costs $30 per acre. The farmer can spend at most $750 on seed.If wheat brings in a profit of $110 per acre, and corn brings in a profit of $100 per acre, how many acres of each crop should the farmer plant to maximize her profit
Answer:
$3200
Step-by-step explanation:
The total area of land is 30 acre. Let x represent the area in acre that corn is planted and y represent the area in acre that wheat is planted. Therefore:
x + y = 30 (1)
Also, the farmer can spend at most $750 on seeds. Corn cost $15 per acre, maize cost $30 per acre. Hence:
15x + 30y ≤ 750 (2)
Also, x and y > 0
The profit is given by the function:
Profit = 100x + 110y
Graphing equation 1 and equation 2 and solving, we get the points:
(10, 20)
Hence the maximum profit is at:
Max profit = 100(10) + 110(20) = $3200
Need some help, ASAP if possible. TY in advance!
Answer:
B [tex](f-g) (x)= \sqrt{\frac{x} {8} } -\frac{2}{x} +6[/tex]
Step-by-step explanation:
[tex]f(x)= \sqrt{\frac{x} {8} } +11[/tex] ------------------(1)
[tex]g(x)=5+\frac{2}{x}[/tex] -----------------------(2)
Subtracting eq (2) from eq (1)
[tex]f-g= \sqrt{\frac{x} {8} } +11 - (5+\frac{2}{x} )[/tex]
[tex]f-g= \sqrt{\frac{x} {8} } +11 - 5 -\frac{2}{x}[/tex]
[tex]f-g= \sqrt{\frac{x} {8} } -\frac{2}{x} +6[/tex]
Dawn has 2 quarters, 1 nickel,
and one $1 bill. How much
money does Dawn have?
Answer:
$1.55
Step-by-step explanation:
Which is the best buy?
A. 4 oz for $3.76
B. 6 oz for $5.70
C. 3 oz for $2.88
D. 2 oz for $1.92
Will mark brainliest pls help
Answer:
A.
Step-by-step explanation:
You divide prices by the number of oz to find out what the price is per ounce
Need an Answer!!!!
Due at 5pm
Answer: Most probably g-6.
Step-by-step explanation:
subtract g-5-1
How many tens equal 7000 ones ?
My answer was wrong, I'm am very sorry
At this point just give me the answer so I can move on lol I know how to work it but this one I can’t seem to get♀️
Answer:
888/155
Step-by-step explanation:
Answer:
x= 888/155
Step-by-step explanation:
Need help 25 points image below
Answer:
Brooks answer is incorrect because he should not shift the brackets to other numbers. First he should distribute number 2 to be multiplied to each number inside the bracket
Can someone help me?
Answer:
DE/AB=12.5/5
DF/AC=3/1.2
EF/BC=6.5/2.6
Find the missing angle.
Answer:
67
Step-by-step explanation:
a circle = 360
133 + 133 = 266
360 - 226 = 134
134 ÷ 2 = 67
Rex is currently taking physics as one of his electives in school. His grade at the end of the year is determined by
the average of four exams, each worth 100 points. On his first test he got an 84, on his second he got a 86, and on
his third an 92. What must he score on his fourth exam to get an A (90%) in the course?
98
b. 90
C. 88
d. 86
a.
Please select the best answer from the choices provided
А A
D
Answer:
The answer is A) 98.
Step-by-step explanation:
Rex has to score 98 marks in his fourth exam to obtain a grade A in the course.
Calculations for the score in the fourth exam:Total marks in four exams = 100 + 100 + 100 + 100 = 400
Marks required for an A (90%) in four exams = 90% of 400
= [tex]\frac{90}{100}\times 400[/tex]
= 360
Rex scores in Ist, 2nd and 3rd exam = 84, 86 and 92
So the score to be obtained in 4th exam for an A = 360 - (84 + 86 + 92)
= 98
Therefore, Rex has to score 98 marks in 4th exam to get a grade A.
Learn more about the average marks in a exam here,
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In this figure triangles LMN and PQR are congruent
Answer:
6
Step-by-step explanation:
Since they are congruent, they would have the same length measures for their corresponding sides.
what is the integer of 14,000 feet above sea level
Answer:
it's 14,000
Step-by-step explanation:
(sea level means 0)
the measure of one interior angle is 180 degrees find the number of sides
N+12=16 solve the equation
Answer: 4
Step-by-step explanation:
16 - 12
Answer:
= 4
Step-by-step explanation:
Which sequence explains a geometric method of determining 3-17i/2+2i ?
Answer:
pretty sure its B
Step-by-step explanation:
plot 3 - 17i scale by [tex]\sqrt\frac{2}{4}[/tex]. Rotate 45 ° clockwise
The series explains a geometric procedure for calculating plots 3 - 17i, scale 2√2, and rotation 45 clockwise.
What is a geometric series?A geometric series is an equation that results from adding all the terms in a geometric sequence.
As per the data given in the question,
(3 - 17i)/(2 + 2i)
Now, use the method of rationalization,
(3 - 17i)/(2 + 2i) × (2 - 2i)/(2 - 2i)
(3 - 17i)/8 × (2 - 2i)
= (6 - 6i - 34i - 34)/8
= (-28 - 40i)/8
It will rotate 45° clockwise.
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