A family compares the cost of renting a truck from two different companies for its 2-day move to another state.The costs are shown in the table.
Answers
A. The functions are given as follows:
Company X: X(m) = 245.9 + 0.59m.Company Y: Y(m) = 91.9 + 0.79m.B. The company from which the family should rent the truck is: Company Y.
How to define the functions?There are two costs in the problem, given as follows:
Fixed costs: base, drop-off and insurance.Variable: cost per mile.The fixed costs for Company X are given as follows:
Base: 2 x 29.95 = 59.90.Drop-off: 150.Insurance: 2 x 18 = 36.The variable cost is of 0.59 per mile, hence the function, considering a trip of m miles, is given as follows:
X(m) = 59.90 + 150 + 36 + 0.59m.
X(m) = 245.9 + 0.59m.
The fixed costs for Company Y are given as follows:
Base: 2 x 19.95 = 39.90.Drop-off: included.Insurance: 2 x 26 = 52.The variable cost is of 0.79 per mile, hence the function, considering a trip of m miles, is given as follows:
Y(m) = 39.90 + 52 + 0.79m
Y(m) = 91.9 + 0.79m.
The trip is of 750 miles, hence the costs are given as follows:
X(750) = 245.9 + 0.59 x 750 = $688.4.Y(750) = 91.9 + 0.79 x 750 = $684.4.Due to the lower cost, Company Y should be chosen.
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Related Questions
Which comparison statement describes the model below 6 6 6 6 24
Answers
Help please.
A cubic box is 5in. on each side. If each dimension is increased by x in., what is the polynomial function modeling the new volume V?
A. V = x^3 + 10x^2 + 25x
B. V = x^3 + 15x^2 + 75x + 125
C. V = x^3 - 15x^2 + 75x - 125
D. V = -x^3 - 15x^2 + 25x - 125
Answers
Answer:
B think
Step-by-step explanation:
The polynomial function modeling the new volume of a cubic box is 5 inches On each side is x³ + 15x² + 75x + 125, so option B is correct.
What is polynomial?The only operations used in a polynomial are addition, subtraction, multiplication, and positive-integer powers of the variables. It consists of coefficients and indeterminate, often known as variables.
Given:
A cubic box is 5 inches On each side,
New volume of the cube = x + 5 inches,
Calculate the volume of the cube as shown below,
[tex]Volume = side^3[/tex]
V = (x + 5)³
V = x³ + 15x² + 75x + 125
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What is the length of the altitude of the equilateral triangle below?
Will give brainliest if correct.
Answers
hope this helps and have a wonderful evening
The length of the altitude of the equilateral triangle below is E) 6√3.
The answer is E) 6√3.
The altitude of an equilateral triangle is the perpendicular line that is drawn from a vertex to the opposite side. The altitude bisects the opposite side and the angle at the vertex.
In this equilateral triangle, the side length is 6. The altitude bisects the opposite side, so the altitude is also 6. The angle at the vertex is 60 degrees, so the altitude forms a 30-60-90 triangle with the opposite side and the altitude.
The ratio of the side length to the altitude in a 30-60-90 triangle is 1:√3:2. So, the altitude is 6 * √3 = 6√3.
Therefore, the length of the altitude of the equilateral triangle is 6√3.
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An amusement park reduced its admission price to $15.50 per day, but now charges $1.50 per ride. Justin has $26 to spend on admission and rides.
Answers
Answer:
Justin has enough for admission and 7 rides.
Step-by-step explanation:
26- 15.50 = 10.50
10.50 / 1.50 = 7 rides
Find an equation of the line with the given slope that passes through the given point. Write the equation in the form Ax + By = C.
m = 4, (6,6)
Answers
Answer:
[tex]4x-y=18[/tex]
Step-by-step explanation:
We want to find the equation of a line in standard form with a slope of 4 and passes through the point (6, 6).
First, we can write it in point-slope form. Point-slope form is given by:
[tex]y-y_1=m\left(x-x_1\right)[/tex]
Where (x₁, y₁) is a point and m is the slope.
Substitute:
[tex]y-6=4(x-6)[/tex]
Distribute the right:
[tex]y-6=4x-24[/tex]
Now, we can separate all the variables and the constants. Subtract 4x from both sides:
[tex]-4x+y-6=-24[/tex]
Add add 6 to both sides:
[tex]-4x+y=-18[/tex]
Traditionally, A or the coefficient of x is always positive. Hence, we can divide both sides by -1 to acquire:
[tex]4x-y=18[/tex]
If the die is rolled 24 times, Find the experimental probability of rolling a 5. Simplify!
Answers
Answer:
gay
Step-by-step explanation:
Seven
more than 9 is my denominaton,
One less than my denominator is my numerator. What fraction am I.
Answers
Answer:
15/16Step-by-step explanation:
Seven more than 9 is my denominator:
[tex]7+9=16[/tex]
One less than my denominator is my numerator :
[tex]16-1=15[/tex]
What fraction am I :
[tex]\frac{15}{16}[/tex]
Answer:
[tex] \frac{15}{16} [/tex]
Step-by-step explanation:
Sorry if wrong :( .
Follow me? FollowBack ^^ .
The reciprocal of the sum of the number and 3?
Answers
Answer:
Could you please check if you've written the question properly
This question doesn't provide enough information
Please mark as brainliest for further answers :)What is the slope of the line that passes through the points (3, 4) and (0, -2)
Answers
Answer:
The slope is :
4-(-2)/0-3
4+2/-3
6/-3
-2
-2 is the slope
An airplane is flying from New York to Los Angeles.
Answers
Answer:
yes in what can I help you
A rectangle has a width of 3 units. The rectangle's length is 5 times its width.
What is the area of the rectangle?
square units
Answers
Answer:
45 sq. units
Step-by-step explanation:
3x5=15
15x3=45
DONT IGNORE!!! I NEED HELP: NO LINKSS
Answers
Answer:
39 ft²
Step-by-step explanation:
11 ft × 3 ft = 33 ft²
2 ft × 3 ft = 6 ft²
33 ft² + 6 ft² = 39 ft²
solve by completing the square! (will give brainlist for work).n ^ 2 + n - 30 = 0
Answers
Answer:
n = 5, -6
Step-by-step explanation:
Ur welcome
Seventh grade
On the last day of a Shakespeare class, an English teacher asked her stude
which play they liked most. Out of the 20 students, 6 liked Twelfth Night b
What is the probability that a randomly selected Shakespeare student likes
Twelfth Night best?
Write your answer as a fraction or whole number.
P(Twelfth Night) =
cuboit
Answers
Answer:
english yes
Step-by-step explanation:
What must be true in order to find a sum for an infinite geometric series?
Answers
Answer:
t(n) = t n-1 + t n-2
Step-by-step explanation:
Hope this was what u want & helped u .
Can you help me please?
Answers
9514 1404 393
Answer:
13
Step-by-step explanation:
The segments WX and WY are congruent, so ...
5n -2 = 2n +7
3n = 9 . . . . . . . . . . add 2-2n to both sides
n = 3 . . . . . . . . . . . .divide by 3
WY = 2n +7 = 2(3) +7 . . . . substitute for n in the expression for WY
WY = 13
Can someone help me pls
Answers
72 would be the answer
The table shows the number of points scored by a football team in each quarter of the game. Write and simplify an expression to represent how many points the team scored during the entire game.
Expression:
Simplified (combined) expression:
Answers
Answer:
Total score → (9p + m - 1)
Step-by-step explanation:
Points scored by the football team in quarter 1 = 3p
Score in quarter 2 = (5p + 2)
Points scored in quarter 3 = (p - 4)
Score of quarter 4 = (m + 1)
Total points scored in entire game = 3p + (5p + 2) + (p - 4) + (m + 1)
= (3p + 5p + p) + m + (2 - 4 + 1)
= 9p + m - 1
Expression representing the total score by the team in entire game will be,
(9p + m - 1)
How much money would you have to invest at 7% compounded semiannually so that the total investment has a value of $2,090 after one year?
Answers
Answer:
$1,951.03.
Step-by-step explanation:
To determine how much money would you have to invest at 7% compounded semiannually so that the total investment has a value of $ 2,090 after one year, the following mathematical calculation must be performed:
X x (1 + 0.07 / 2) ^ 1x2 = 2,090
X x 1,035 ^ 2 = 2,090
X x 1.071225 = 2,090
X = 2,090 / 1.071225
X = 1,951.03
Thus, $ 1,951.03 must be invested at 7% per annum compounded semiannually to have $ 2,090 in the account after one year.
HELP ME PLS THANK YOU<333
Answers
Answer:
d
Step-by-step explanation:
edge 2020
p.s. pls mark brainliest, and have a good day! :)
E= Mc
A. Square
B. Triangle
C. Xircle
D. Subnautica
Answers
Answer:
a squared
Step-by-step explanation:
an equation solved by Einstein. possibly the most famous equation in the world. energy(E) = mass(M) times the speed of light (C) squared
squared
It is an equation by Albert Einstein.E=mc2
Hakima and Joshua both opened savings accounts. Both started with a balance of zero dollars. For every $3 that Hakima saves in her account, Joshua saves $5. If they have saved a total of $336, how much did Hakima save?
Answers
4 unit squares each have 4/5 of their area shaded what is the total of that area shaded
Answers
Answer:
16/20
Step-by-step explanation:
yeah
Answer:
20/7
Step-by-step explanation:
just do it dont do the top i tried and it failed PLEASE MY FUTURE SELF LOOK AT THIS
Question: The graph of a second-order polynomial is shown below, and the intercepts with the axes are marked. Explain how you can use the graph to write the polynomial as a product of linear factors (x-a)(x-b). Be sure to state the values of a and b. NEED HELP ASAP
Answers
Hello!
Here we are given a second-order polynomial, and the root form of the function.
[tex]y=a(x-c)(x-d)[/tex]
Where c and d are zeros of the function, which is where the graph intersects the x-axis.
[tex]y=a(x+4)(x-3)[/tex]
[tex]-6=a(2+4)(2-3)[/tex]
[tex]-6=-6a[/tex]
[tex]a=1[/tex]
Therefore, the equation of this polynomial would be [tex]y=(x+4)(x-3)[/tex], and the values of a and b would be the x-intercepts.
Hope this helps!
A group of 540 students are required to take a test. Of these,
495 actually take the test, and 45 are absent that day.
(i) Write down the ratio of the number of students who take the test
to the number of students who are absent. Simplify this ratio as far
as possible. [3]
(ii) Of the 495 students who take the test, the numbers of students
obtaining grades A, B, C and D are in the ratio 5 : 14 : 10 : 4,
respectively. Calculate the number of students obtaining each
grade. Explain how you could check that your answers are
Answers
Answer:
1175, 210, 150, 60If y=4, what does x equal??
Answers
Answer:
since y=4
from one of the equations
6x+4y=46
substitute y=4 In the equation
6x+4(4)=46
6x+16=46
6x=46-16
6x=30
divide both sides by the co efficient of'x'
6x/6=30/6
x=5
What are 6 facts about Will Smith?
(They cant be about his date of birth, place of birth, his spouse, and children)
Answers
Will Smith became a millionaire before the age of 18.
Will Smith has been his adult height since he was 13 years old.
Will Smith’s home is equipped with paperless toilets.
Will Smith can solve a Rubik’s Cube in 55 seconds.
Will Smith has a passion for chess.
Barack Obama has tipped Will to play him in a hypothetical movie.
Will Smith held the Guinness World Record for most public appearances in 12 hours.
You can spend a night in The Fresh Prince of Bel-Air mansion.
Hope this helps :)
Have a great day!
A salesman is paid $15.00 per hour for 7 hours plus $9.00 for each sale, x, she makes. She wants to earn more than $150.
Which inequality matches the situation?
Answers
Answer:
what are the options???
which expression has the same value as 5 - 3x when x = 4
Answers
Answer:
1.75x?
Step-by-step explanation:
I'm not sure if it has to be multiple numbers
Pythagorean theorem-writing prompt (need help!!!)
Answers
Answer: 10
Step-by-step explanation: