A rental car company offers two rental plans, Plan A and Plan B, for the same economy size car. For both plans, the total rental cost F(m) is a function of the number of miles M that the car is driven.

Plan A: f(m) = 0.12 + 75

Plan B: f(m) = 0.35m

I. In complete sentences, translate each function into a verbal model describing the total cost of the rental in terms of the number of miles that the car is driven.

II. For each function, determine how the rate of change will affect the total cost of a car rental.

III. For a car rental that will include a maximum of 250 miles for the duration of the rental, which plan is the most cost effective?

Answers

Answer 1

Answer:

Plan B

Step-by-step explanation:


Related Questions

please please please answer!! will give brainliest and extra points!

Answers

Answer:

a) y = x

b) y = 10

c) x = 3

Step-by-step explanation:

a) the line passes through the points (-5, -5) and (1, 1).

Step 1. Identify the slope

M = slope

M = change in y/change in x

Two points: (-5, -5) & (1, 1)

M = (y2 - y1)/(x2 - x1)

where y2 = 1 y1 = -5 x2 = 1 & x1 = -5

M = (1 - -5)/(1 - -5)

Note: Two negative signs together makes addition!

M = 6/6

M = 1

Step 2. Find the y-intercept

The slope is 1 but then we need a y-intercept. To do this we have to take a look when the first y-intercept happened.

Answer: y-intercept undefined so therefore our final answer is y = x
••••••••••••••••••••••••••••••••••••••••••••••••••
b) the line that passes through (-2, 10) and (3, 10).

If we would’ve graphed this, we can see that they’re in line with the y-axis so there wouldn’t be any slope.

Step 1. Find the slope.

M = slope

M = change in y/change in x

Two points: (-2, 10) & (3, 10)

M = (y2 - y1)/(x2 - x1)

M = (10 - 10)/(3 - -2)

M = 0/5

M = 0

Therefore the slope is 0

Step 2. Find the y-intercept

And the y-intercept is 10 obviously so now our answer would be y = 10
•••••••••••••••••••••••••••••••••••••••••••••••••••
c) the line parallel to the y-axis that passes through the point (3, -7)

Equation of line parallel to y-axis is x = k

(3, -7) lies on our required line

-> k = 3

The equation of the required line is x = 3
••••••••••••••••••••••••••••••••••••••••••••••••••
d) & e)

I don’t know the answer to the rest I’m sorry but at least appreciate these 3 answers that I’m giving you

Have a good day!

-Unluckydoom

Carlos is 3 more than twice Ella’s age. If the sum of their ages is 54 years, determine their ages.

Answers

Answer:

Carlos is 37 years old and Ella is 17.

Step-by-step explanation:

Let,

Carlos = c

Ella = e

If Carlos is 3 more than twice Ella's age, we get the equation:

2e + 3 = c (1)

Since the sum of their ages is 54, we get the equation:

c + e = 54 (2)

Now we have a system of equations.

Since equation number 1 already designated the value of c in terms of e, we can substitute it into the second equation.

(2e+3) + e = 54

Lets combine like terms and solve!

2e + e + 3 = 54

3e = 51

e = 17

Let's substitute e back into one of the equations to figure out the value of c. I'm going to use equation 1.

2e + 3 = c

2(17) + 3 = c

34 + 3 = c

37 = c

Let's substitute the values of c and e into the second equations to check our work! (We know c and e already fulfill the first equation as we substituted e into it to get c)

c + e = 54

37 + 17 = 54

54 = 54

Now that we've checked our work, we know our answer is correct! Carlos is 37 years old and Ella is 17.

An internet company reported that its earnings will be less than the 24 cents per share that was predicted

Answers

Answer:

p < 0.24

Step-by-step explanation:

If earning is 24% less Than predicted, this means that the we can represent the predicted earning with a variable, p

If the predicted earning = p

Then, the actual earning can be represented by the inequality ; p < 24%

p < 0.24

La probabilidad de que el estudiante A apruebe un examen de MM-100 es 0.6, la probabilidad de que apruebe un estudiante B es 0.4 y la probabilidad de que ambos estudiantes aprueben es 0.3. ¿Cual es la probabilidad de que apruebe el estudiante B dado que el estudiante A aprueba.?

Answers

Answer:

0.5 = 50% probabilidad de que apruebe el estudiante B dado que el estudiante A aprueba.

Step-by-step explanation:

La probabilidad condicional :

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

En el cual:

P(B|A) es la probabilidad de que ocurra el evento B, dado que A sucedió.  

[tex]P(A \cap B)[/tex] es la probabilidad de que ocurran tanto A como B.  

P(A) es la probabilidad de que ocurra A.

En esta pregunta :

Evento A: Estudiante A aprueba.

Evento B: Estudiante B aprueba.

La probabilidad de que el estudiante A apruebe un examen de MM-100 es 0.6

Entonces [tex]P(A) = 0.6[/tex]

La probabilidad de que ambos estudiantes aprueben es 0.3

Entonces [tex]P(A \cap B) = 0.3[/tex]

¿Cual es la probabilidad de que apruebe el estudiante B dado que el estudiante A aprueba.?

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.3}{0.6} = 0.5[/tex]

0.5 = 50% probabilidad de que apruebe el estudiante B dado que el estudiante A aprueba.

Select the correct answer.
Consider the graph below. Which of the following piecewise functions is shown in the given graph?

Answers

Answer:

f(x)=x^2+3

[tex]f(x) = x^{2} + 3 \: \: \: \: \: \: \: \: \: \: \: \: \: \: x < 1 \\ \\ f(x) = - 2x + 5 \: \: \: \: \: \: \: \: \: \: \: \: \: x \geqslant 1[/tex]

the vertex of this parabola is at (-2 -3). When the y value is -2, the x value is -5. What is the coefficient of the squared term in the parabolas equation.

Answers

Answer:

1/9

Step-by-step explanation:

The vertex form is

y =a(x-h)^2 +k where (h,k) is the vertex

The vertex is (-2,-3)

y =a(x--2)^2 +-3

y =a(x+2)^2 -3

Substitute the point into the equation

-2 = a(-5+2)^2 -3

-2=a(-3)^2-3

Add 3 to each side

-2+3 = a(9)

1 = 9a

1/9 =a

y =1/9(x+2)^2 -3

The coefficient of the x^2 is 1/9

Answer:

[tex]\frac{1}{9}[/tex]

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k ) = (- 2, - 3) , then

y = a(x + 2)² - 3

To find a substitute (- 5, - 2 ) into the equation

- 2 = a(- 5 + 3)² - 3 ( add 3 to both sides )

1 = a(- 3)² = 9a ( divide both sides by 9 )

[tex]\frac{1}{9}[/tex] = a

y = [tex]\frac{1}{9}[/tex] (x + 2)² - 3

The coefficient of the x² term is therefore [tex]\frac{1}{9}[/tex]

Josh has a aquarium 30 inch deep.it takes him 5 min to fill the bucket with 3 inch of water.he estimates that it will take him under an hour to fill the entire bucket with water.is he correct.explain why or why not

Answers

Answer:

No

Step-by-step explanation:

From the information provided, we can say that he is not correct. This is because the depth of the water is the only measurement that he is using to make his estimate. Comparing the depth of the aquarium and the bucket is one measurement, but both the aquarium and bucket are most likely of different shapes and sizes. Therefore, this equates to more buckets for the same amount of depth in the aquarium. To get a proper estimate on how long it will take he needs to calculate the volume of water in the bucket and compare it to the volume of water needed to fill the aquarium.

6. 792 = *
A. (7 x 10) + (3 x 4) + (2 x 1)
B. (7 x 11) + (3 x 3) + (2 x 1)
C. (7 x 11) + (3 x 4) + (2 x 1)
D. (7 x 10) + (3 x 3) + (2 x 1)

Answers

Answer:

D. (7×10) + (3×3) + (2×1)

Step-by-step explanation:

(7×10)=70 + (3×3)=9 + (2×1)=2

=70+9+2

=792

Find the missing the side of the triangle

Answers

Step-by-step explanation:

Because it is a 45-45-90 triangle (we know this because two legs are congruent) x witll be [tex]\sqrt{10} *\sqrt{2}[/tex]

which equation represent this relation

Answers

Answer:

hello,

answer A c=n+2

Step-by-step explanation:

if n=0 then c=2

if n=2 then c=4

slope=m=(4-2)/(2-0) =2/2=1

c-2=1*(n-0)

c=n+2

If 5 is added to the difference of 3 times of 4 and 7 find the number

Answers

Answer:

14

Step-by-step explanation:

3*4=12

3*7=21

Diff= 21-12

Diff= 9

Plus 5=9+5

The number is 14

An equation is shown below:
3(2x – 7) = 3

Part A: How many solutions does this equation have? (4 points)

Part B: What are the solutions to this equation? Show your work. (6 points)

Answers

Answer:

Part A: One | Part B: x = 4

Step-by-step explanation:

[tex]3(2x-7)=3\\6x-21=3\\6x=24\\x=4[/tex]

Answer:

4

Step-by-step explanation:

3(2x _7)=3

multiply 3 by everything in the bracket

6x-21 = 3

move 21 to the other side of the equation,it becomes positive sine it crosses the = sign

6x = 3+21

6x =24

divide both sides by 6

6x/6=24/6

x = 4

Determine the perimeter of the following figure
pls help! ill mark brainliest

Answers

Answer:

Step-by-step explanation:

Use Pythagorus to find the length of the unmarked length

c^2 = a^2 + b^2

a = 5

b = 17 -10 = 7

c = ?

c^2 = 5^2 + 7^2

c^2 = 25 + 49

c = sqrt(74)

c =8.602

P = 5 + 10 + 17 + 8.602

P = 40.602

Help fast!
Describe at least two ways to find or
estimate the year the population of the town
will be 40 thousand. (You don't have to
actually find the value.)

Answers

Plug in 40,000 for p(n), then use algebra. First step divide by 18. Then you have 2222.222222=e^0.035n.
Take the natural logarithm (Ln) on your calculator of both sides:
Ln(2222.2222)=Ln(e) 0.035n
Ln2222.2222 just gives you a number and Ln(e) cancel each other so you have:
Ln(2222.222222)= 0.035n, divide both sides by 0.035 and you will find “n”(the number of years after 2000).

The second method is trial and error, keep plugging in numbers for n starting at “1” and see what number gets you closest to 40,000 when you calculate the equation

PLEASE HELP :( ASAP
Find the area.


A. 272 cm²

B. 175 cm²

C. 189 cm²

D. 195 cm²

Answers

Answer:

A. 272 cm^2

Step-by-step explanation:

The area of the rectangle is 17cm * 7cm = 119 cm^2

The area of the right triangle is (25-7) * 17cm * 1/2 = 153cm^2

Answer: 119+153 = 272 cm^2

Answer:

A. 272 cm^2

Step-by-step explanation:

Area = Length • Width

Area = 17 • 7

Area = 119 cm

Area = 1/2 bh

Area = 1/2 (18)(17)

Area = 1/2 (306)

Area = 153

153 + 119 = 272 cm^2

The area CA) of a Paroullelogram is found by using this formula A =BH What is the area when to b is 7cm and h is 3cm?​

Answers

Answer:

21cm2

Step-by-step explanation:

Area (A = BH)

B = 7cm

H = 3cm

Therefore we multiply Base(B) with height (H) to get the area.

Hence;

Area = (7 × 3) cm2

= 21cm2

factorise the given number
12​

Answers

hope it helps you............

The factors of 12 are 1, 2, 3, 4, 6, and 12, because each of those divides 12 without leaving a remainder (or, alternatively, each of those is a counting number that can be multiplied by another counting number to make 12).

using trig to solve for missing angle

Answers

Answer:

30.7

Step-by-step explanation:

Recall: SOH CAH TOA

We are to solve for the missing side

First, label the sides:

Reference angle (θ) = 61°

x = Opposite (this is opposite to the reference angle)

17 = Adjacent

Hypotenuse = side opposite to right angle

Apply TOA, which is:

Tan θ = Opp/Adj

Plug in the values

Tan 61° = x/17

17*Tan 61° = x

30.6688118 = x

x ≈ 30.7 (approximated to nearest tenth)

Six years ago,the average age of A,B,C and D was 30 years. When E joined them, the average of all five becomes 40 years. What is the age of E?

Answers

Answer:

The age of E is 40

Step-by-step explanation:

When E didn't join them, the average age was 30,that is six years ago. But present making 36.

But when E joined, the average age is now 40.

Answer:

E is 56 years old

Step-by-step explanation:

I assume E joined them now.

(A - 6 + B - 6 + C - 6 + D - 6)/4 = 30

(A + B + C + D + E)/5 = 40

(A + B + C + D - 24)/4 = 30

A + B + C + D - 24 = 120

A + B + C + D = 144

(A + B + C + D + E)/5 = 40

A + B + C + D + E = 200

144 + E = 200

E = 56

(|5 - 3x | - 1) - ( 1 - 3x ) = 0

Answers

(| 5 - 3x | - 1) - (1 - 3x) = 0

|5 - 3x| - 1 - 1 + 3x = 0

|5 - 3x| - 2 + 3x = 0

1) (5 - 3x) - 2 + 3x = 0, if 5 - 3x >= 0

3 = 0. has no solutions

2) -(5 - 3x) - 2 + 3x = 0, if 5 - 3x < 0

-5 + 3x - 2 + 3x = 0

6x = 7

x = 7/6

5 - 3x < 0

-3x < -5

x > 5/3.

has no solutions

1/t=1/g+1/v make g the subject​

Answers

Answer:

g = vt/(v - t)

Step-by-step explanation:

See the solution in steps:

1/t = 1/g + 1/v1/g = 1/t - 1/v1/g = (v - t)/(vt)g = vt/(v - t)

Do oddsmakers believe that teams who play at home will have home field advantage? Specifically, do oddsmakers give higher point spreads when the favored team plays home games as compared to when the favored team plays away games? Two samples were randomly

Answers

Complete question is;

Do oddsmakers believe that teams who play at home will have home field advantage? Specifically, do oddsmakers give higher point spreads when the favored team plays home games as compared to when the favored team plays away games?

Two samples were randomly selected from three complete National Football League seasons (1989, 1990, and 1991). The first sample consisted of 50 games, where the favored team played in a home game, while the second sample consisted of 50 games, where the favored team played in an away game. The oddsmakers’ point spreads (which are the number of points by which the favored team is predicted to beat the weaker team) were then collected.

If µ1 and µ2 represent the mean point spread for home games and away games, respectively, which of the following is the appropriate.

A) H0: μ1 - μ2 = 0

Ha: μ1 - μ2 < 0

B) H0: μ1 - μ2 = 0

Ha: μ1 < μ2

C) H0: μ1 - μ2 > 0

Ha: μ1 - μ2 = 0

D) H0: μ1 - μ2 = 0

Ha: μ1 - μ2 > 0

E) None of the above

Answer:

D) H0: μ1 - μ2 = 0

Ha: μ1 - μ2 > 0

Step-by-step explanation:

We want to find out if oddsmakers give higher point spreads when the favored team plays home games as compared to when the favored team plays away games.

Now, since µ1 and µ2 represent the mean point spread for home games and away games, respectively;

It means we want to find out if µ1 > µ2 as the alternative hypothesis.

Thus, alternative hypothesis is;

Ha: µ1 - µ2 > 0

Meanwhile null hypothesis assumes that equal point spreads are given when the favored team plays home games as well as when the favored team plays away games.

Thus, null hypothesis is;

H0: μ1 - μ2 = 0

The only correct option is D.

help me please its confusing neeed help

Answers

Answer:

1.94 mm

Step-by-step explanation:

V = pi(r^2)h

V/pi(h) = r^2

r = sqrt(V/pi(h))

r = sqrt(200/pi(17))

r = 1.94 mm

Determine the measure of the interior angle at vertex F

Answers

Answer:

72

Step-by-step explanation:

The interior angles of a 6 sided figure add to (n-2) * 180

where n is the number of sides

(6-2) *180

4*180

720

2x+4x+4x+4x+4x+2x = 720

20x = 720

Divide by 20

20x/20 = 720/20

x =36

We want <F

<F = 2x = 2*36 = 72

What is the volume of the pyramid below?

Answers

Answer:

96m³

Step-by-step explanation:

Base area = 8×6/2 = 24 m²

Height = 12 m

Volume of a pyramid = 1/3 × Base area × Height

= 1/3 × 24 × 12

= 288/3

= 96 m³

Answered by GAUTHMATH

Formula: V = 1/3•BH
Answer: 1/3•10•12= 40m^3

please help I will give brainly, please and thank u :D

Answers

1 . the answer is wrong . correct answer is 3,531.33

2. I would give you suggestions that you need to work on your calculations skills

For the function f(x)=3X+5/x+5 find f^1(x)

Answers

Answer:

When you see f^-1(x), its asking for the inverse. In this case, you swap y with x and solve for y.

The inverse is 5 / x - 8

6
5 (0,4)
(5, 4)
x
3
(3, 2)
2
(-2,0) 1
-5-4-3-2 JO1
2 3
-2 (0-2)
-3
-4
-5
4
5
- 7
-8
From the graph of the function, determine the domain and the range.

Answers

Step-by-step explanation:

according to the graph,

the domain is : -2 ≤ x < 0 or 0 < x ≤ 5

=> [-2, 0) U (0, 5]

the range is : -2< y ≤ 0 or 2≤ y ≤ 4

=> (-2, 0] U [2, 4]

the answer is option 1

The domain and range of the function are,

Domain = [-2, 0) U (0, 5]

Range = (-2, 0] U [2, 4]

What is mean by Function?

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given that;

The graph of the function is shown in figure.

Now, According to the graph, We get;

The domain is;

-2 ≤ x < 0

Or, 0 < x ≤ 5

Domain = [-2, 0) U (0, 5]

And, the range is;

-2< y ≤ 0

Or , 2≤ y ≤ 4

Range = (-2, 0] U [2, 4]

Thus, The domain and range of the function are,

Domain = [-2, 0) U (0, 5]

Range = (-2, 0] U [2, 4]

Learn more about the function visit:

https://brainly.com/question/11624077

#SPJ7

Which three lengths could be the lengths of the sides of a triangle? 21 cm, 7 cm, 11 cm 7 cm, 23 cm, 11 cm, 12 cm, 7 cm, 19 cm 10 cm, 15 cm, 23 cm

Answers

Answer:

  (d) 10 cm, 15 cm, 23 cm

Step-by-step explanation:

21 cm, 7 cm, 11 cm — 7+11 < 21 . . . not a triangle

7 cm, 23 cm, 11 cm — 7+11 < 23 . . . not a triangle

12 cm, 7 cm, 19 cm — 7+12 = 19 . . . not a triangle

10 cm, 15 cm, 23 cm — 10+15 > 23 . . . can form a triangle

__

The sum of the two shortest sides must exceed the length of the longest.

There is a line whose slope is 0 and whose y-intercept is 7. What is its equation in slope-intercept form?

Answers

Step-by-step explanation:

To evaluate such, the following must be comprehended, on the behalf of linear data:

Slope: Rise/Run.

Y-intercept: The peculiar point in which the observed linear data intersects the y-axis.

X-intercept: The peculiar point in which the observed linear data intersects the x-axis.

Recall:

Slope-Intercept Form is acknowledged and defined as the integration of the intersection point, in relation or in proportion to the distance between two points within the linear data presented on the Cartesian Plane.

Slope-Intercept Form:

Y = mx + b

Y = The line.

M = Slope.

B = y-intercept.

The following may be equated, as stated:

- Slope = 0

Y = b

- Y-intercept = 7

Y = 7

Thus, on the Cartesian Plane is identified as a horizontal line positioned within quadrants I and II, intersection (0, 7).

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find the missing side of the triangle Which substance, maple syrup or vegetable oil, has a higher viscosity? Explain how you know the answer. I ___________ reading this book by next weekend.A. will have finished B. will be finishingC. would finish D. have finished Evelyn paid a $700 annual premium for a business overhead expense policy that paid a monthly benefit of up to $4,000 for a benefit period of 6 months. When Evelyn became disabled she used the entire benefit for 3 months, which covered $8,000 of employee salaries, as well as $3,000 in rent and utilities. This means that the amount of the benefits which was reported as income equaled ______________. PLEASE HELP!! What is the effect of the word choice in the phrase when you are set down at random in that street in the middle of an inky black night in Paragraph 2 of the passage?A. It gives the paragraph a humorous tone.B. It contrasts the description of the Mississippi River.C. It creates a strong, relatable image.D. It sets a dark, ominous mood.The passage: One cannot easily realize what a tremendous thing it is to know every trivial detail of twelve hundred miles of river and know it with absolute exactness. If you will take the longest street in New York and travel up and down it, conning its features patiently until you know every house and window and lamppost and big and little sign by heart, and know them so accurately that you can instantly name the one you are abreast of when you are set down at random in that street in the middle of an inky black night, you will then have a tolerable notion of the amount and the exactness of a pilot's knowledge who carries the Mississippi River in his head. Classify amoeba to species level If Maya has 5 more than twice as many candies as Katie, which of the following expressions shows the number of candies Maya has? 5c + 2, where c is the number of candies Katie has 5c + 2, where c is the number of candies Maya has 2c + 5, where c is the number of candies Maya has 2c + 5, where c is the number of candies Katie has Rewrite incorrect sentencesNothing interesting has happened in past couple of weeks. find the perimeter of the polygon Suppose a shipment of 400 components contains 68 defective and 332 non-defective computer components . From the shipment you take a random sample of 25. When sampling with replacement (so that the p = probability of success does not change), note that a success in this case is selecting a defective part. The standard deviation of this situation is? A lion chases an antelope, which narrowly escapes being eaten. Whichenergy conversion saved the antelope's life? Design a sequential circuit with two flip-flops A and B and one input X. When X = 0, the state of the circuit remains the same. When X = 1, the circuit goes through the state transitions from 00 to 10 to 01 to 11, back to 00, and then repeats. Show the state transition by 7-segment display decoder using a. D-Flip Flop-Section B b. T-Flip Flop-Section A c. JK-Flip Flop-Section B d. RS-Flip Flop-Section A what are informal leaders what is 8^100 / 8^50 is 8^50 In a job order costing system: Select one: A. Each department accumulates costs and then allocates them to all units produced. B. The processes involved in manufacturing products are essentially identical for all products. C. Production generally happens in a "continual flow". D. The end products are relatively homogenous. E. None of the above Swisher, Incorporated reports the following annual cost data for its single product: This product is normally sold for $48 per unit. If Swisher increases its production to 50,000 units, while sales remain at the current 30,000 unit level, by how much would the company's income increase or decrease under absorption costing What would happen to the rate of activity if you place Pepsin in the small intestine with a pH of 6? Using the technique in the model above, find the missing segments in this 30-60-90 right triangle.BC = 2AB= After World War I ended which of the following choices would be an effective thesis statement?A) Smoking can cause health problems like heart attacks, strokes, and diabetes, and the community should support programs that educate kids about these risks. B) Smoking can cause health problems like heart attacks, strokes, and diabetes.C) I will examine the dangers of smoking and how we as a community can stop kids from starting to smoke.D) None of the choices would be effective