which statement would justify selecting plan B instead of plan A?Plan A: C = 30dPlan B: C = 25d + 15

Which Statement Would Justify Selecting Plan B Instead Of Plan A?Plan A: C = 30dPlan B: C = 25d + 15

Answers

Answer 1

We have two rental car plans.

We have to compare them to find the one that offers the minimum cost.

Plan A has no fixed fee but has a cost of $30 per day:

[tex]C=30d[/tex]

Plan B has a fixed fee of $15 and a cost per day of $25:

[tex]C=25d+15[/tex]

We expect the plan A to have a smaller cost for few days, while plan B becomes more convenient when we increase the number of days.

We can calculate the break even point when both costs are the same:

[tex]\begin{gathered} C_A=C_B \\ 30d=25d+15 \\ 30d-25d=15 \\ 5d=15 \\ d=\frac{15}{3} \\ d=5 \end{gathered}[/tex]

Then, we know that for less than 5 days, Plan A is more convenient.

For more than 5 days, Plan B is more convenient.

For exactly 5 days, the decision is indifferent as both plans will have the same total cost.

Answer: The only statement that would justify selecting Plan B instead of A is if Marcus rents a car for 5 days.


Related Questions

Which is the equation of a circle that is centered at the origin?O (– 1)2 + (y – 1)2 = 4O2? + (y - 1)2 = 2O 2 + y2 = 7Ox+y=8

Answers

[tex]x^2+y^2\text{ = 7 (option C)}[/tex]

Explanation:

Standard equation of circle:

[tex](x-h)^2+(y-k)^2=r^2[/tex][tex]\begin{gathered} \text{If centered at the origin:} \\ (h,\text{ k) = (0, 0)} \\ h\text{ = 0, k = 0} \end{gathered}[/tex][tex]\begin{gathered} \text{The equation of circle becomes:} \\ (x-0)^2+(y-0)^2=r^2 \\ x^2+y^2=r^2 \end{gathered}[/tex]

comparing the above equation with the options given:

[tex]\begin{gathered} x^2+y^2=7\text{ has the form} \\ x^2+y^2=r^2,wherer^2\text{= }7 \end{gathered}[/tex][tex]x^2+y^2\text{ = 7 (option C)}[/tex]

When are two events considered to be independent? A. when the occurrence of each event is not affected by the occurrence of the other event B. when the occurrence of the second event affects the occurrence of the first event C. when the occurrence of the first event affects the occurrence of the second event D. when the occurrence of each event affects the occurrence of the other

Answers

The two events are considered to be independent when the occurrence of each event is not affected by the occurrence of the other event

The event is defined as the outcome or the set of all the outcomes of the random experiment

Independent event is defined as the occurrence of the one event does not depends on the occurrence of another event

So we can say that, two events are independent events when the occurrence of the one event does not depends on the occurrence of the other event.

Hence, The two events are considered to be independent when the occurrence of each event is not affected by the occurrence of the other event

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In the figure below, circle 1 is a unit circle. Circle 2 has a diameter that is one and half times longer than that of circle 1, and circle 3 has a diameter that is twice as long as that of circle 1. If angle Z is equal to 2 radians, what is the length of the arc between points I and J?

Answers

The length of an arc is given by:

[tex]s=r\timesθ[/tex]

where r is the radius and θ is the measure of the angle in radians.

To find the radius:

radius in circle 1 = 1 (unit circle)

radius in circle 3 = 2 x 1 = 2.

Hence:

[tex]s=2\times2=4[/tex]

ANSWER

the length of the arc between points I and J is 4

The formula used to convert degrees Celsius to degrees Fahrenheit is
F = C +32.
Convert 77°F to degrees Celsius. Solve the formula for C, and then use it to
convert the temperature.
Which is the correct formula and conversion?

Answers

77°F is equivalent to 45°C as per the given equation.

The correct formula for conversion is,°F = (°C × 9/5) + 32, and 77°F is equivalent to 25°C

This is a problem with the temperature conversion. We can solve this problem by following a few steps.

F = C +32 as per the question and the temperature is given as 77°. We have to convert this temperature to degrees Celsius. We can write C as (F-32).

Hence the  formula for C can be written as C = F - 32

Now we can find convert the temperature,

C = F - 32  

Or, C = 77 - 32    [ subtracting 32 from both sides ]

Or, C = 45

Here we can conclude that 77°F is equivalent to 45°C as per the question.

The correct formula for conversion is,

°F = (°C × 9/5) + 32

Or, 77 = (C × 9/5) + 32

Or, (C × 9/5) = 77 - 32               [ subtracting 32 from both sides ]

Or, (C × 9/5) = 45                      [ multiplying both side with 5/9 ]

Or, C = (45×5) / 9 = 25

According to the correct conversion equation, 77°F is equivalent to 25°C

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Use the graph to answer the following questions.how much does the cost of cheese and crease for each ounce Milan buys? What is the slope of the line?

Answers

The graph given is a linear graph,

so that means that the cost of cheese is linearly related to the weight of cheese bought.

The increase in the cost of cheese increase for each ounce Milan buys is, therefore, the slope of the graph;

to find the slope of the graph, we use any two points on the line; i'll be using (4,96) and (2,48)

[tex]\text{slope}=\frac{96-48}{4-2}=\frac{48}{2}=24[/tex]

This means that the cost of cheese increases by 24 cents for each ounce Milan buys.

Write the equation for f(x) and g(x). Then identify the reflection that transforms the graph of f(x) to the graph of g(x).

Answers

Given the figure of the functions f(x) and g(x)

The graph of the function is the shown lines

The equation of f(x):

As shown the line of f(x) passes through the points: (-2, 0) and (0, -1)

The slope of the line will be:

[tex]slope=\frac{rise}{run}=\frac{y_2-y_1}{x_2-x_1}=\frac{-1-0}{0-(-2)}=\frac{-1}{2}[/tex]

The y-intercept = -1

so, the equation of f(x) =

[tex]f(x)=-\frac{1}{2}x-1[/tex]

The equation of g(x):

As shown the line of g(x) passes through the points: (-2, 0) and (0, 1)

The slope of the line will be:

[tex]slope=\frac{rise}{run}=\frac{y_2-y_1}{x_2-x_1}=\frac{1-0}{0-(-2)}=\frac{1}{2}[/tex]

The y-intercept = 1

So, the equation of g(x) will be:

[tex]g(x)=\frac{1}{2}x+1[/tex]

Identify the reflection that transforms the graph of f(x) to the graph of g(x).

As shown, the functions are symmetric around the x-axis

And as we can see for the same value of x: g(x) = -f(x)

So, the type of transformation is: Reflection over the x-axis

Given csc A = 65 and that angle A is in Quadrant I, find the exact value of cot A insimplest radical form using a rational denominator.

Answers

The trigonometric expression for relation between csc A and cot A.

[tex]undefined[/tex]

if tommy has 34 has apples and she puts them in 3 baskets whats the anwser and with the reminder if it has one

Answers

34 apples divided into 3 baskets

34 / 3 = 11.3

Answer is 11.3, put a line over the 3 because it’s a repeating decimal

PLEASE HURRY

What is an equivalent expression for −12(8a − 7b) + 8(4x + 3y)?

Answers

Answer:

-96a + 84b + 32x + 24y

Step-by-step explanation:

if you simplify an answer then it is equivilent to the beggining equation

hope this helped:)

Two angles are supplementary. The measure of one angle is x and the measure of the other angle is 4x, find the value of xa. 36b.18c.4d.5

Answers

we know that

If two angles are supplementary, then their sum is equal to 180 degrees

so

In this problem

x+4x=180

solve for x

5x=180

x=36

therefore

the answer is the option A

Part 2

if Joey drives 222 3/4 miles 3 3/8 hours . if he drives at a constant rate how far will he drive in one hour ?

Answers

Start by making the mixed numbers into fractions using that:

[tex]A\frac{b}{c}=\frac{(A\cdot c)+b}{c}[/tex]

According to this:

[tex]222\frac{3}{4}=\frac{(222\cdot4)+3}{4}=\frac{888+3}{4}=\frac{891}{4}[/tex][tex]3\frac{3}{8}=\frac{(8\cdot3)+3}{8}=\frac{24+3}{8}=\frac{27}{8}[/tex]

To find the rate we divide the distance over the time

[tex]\frac{\frac{891}{4}}{\frac{27}{8}}=\frac{891\cdot8}{27\cdot4}=\frac{7128}{108}=\frac{66mi}{h}[/tex]

The rate idicates that joey drives 66 miles in one hour.

The next model of a sports car will cost 13.8% more than the current model. The current model costs $56,000. How much will the price increase in dollars? What will be the price of the next model?

Answers

Current model is $56,000

New model is 13.8% more expensive

13.8% of 56,000 = 56000*13.8/100 = 772800/100 = 7728

Nex model price = 56000+7728 = 63728

Answers:

The price increase in dollars is $7,728

The price of the next model is $63,728

simplify (4z-13)+(9-9z)

Answers

Answer:

the answer is -5z-4

Step-by-step explanation:

you just combined the like terms

Metric area unit conversion with decimal valuesA rectangular field is 0.35 kilometers long and 0.2 kilometerswide. What is the area of the field in square meters? Do notround your answer.mX 5 ?Conversion facts for length1000 millimeters (mm) = 1 meter (m)100 centimeters (cm) = 1 meter (m)10 decimeters (dm) = 1 meter (m)1 decameter (dam) = 10 meters (m)1 hectometer (hm) = 100 meters (m)1 kilometer (km) = 1000 meters (m) I need help with this math problem.

Answers

Given that

The length of the rectangular field is 0.35 km and the width is 0.2 km. And we have to find the area of this field.

Explanation -

The formula for the area of the rectangle is

[tex]Area=length\times breadth[/tex]

On substituting the values we have

[tex]\begin{gathered} Area=0.35\times0.2\text{ km}^2 \\ Area=0.07\text{ km}^2 \end{gathered}[/tex]

Since the conversions are given as

[tex]\begin{gathered} 1\text{ km = 1000 m}^{\text{ }}=10^3\text{ m} \\ 1\text{ km}^2=10^6\text{ m} \end{gathered}[/tex]

So the required answer in sq meters will be

[tex]\begin{gathered} Area=0.07\times10^6\text{ m}^2 \\ Area=7\times10^4\text{ m}^2=70000\text{ m}^2 \end{gathered}[/tex]So the final answer is 70000 sq meters.

Challenge: The price of Stock A at 9 A.M. was $14.76. Since then, the price has been increasing at the rate of $0.09 each hour. At noon the price of Stock B was $15.26. It begins to decrease at the rate of $0.14 each hour. If the two rates continue, in how many hours will the prices of the two stocks be the same?​

Answers

In one hour, the prices of the two stocks will be the same.

The price of stock A at 9 a.m. was $14.76.The rate of increase in the price of stock A per hour is $0.09.The price of stock B at 12 p.m. was $15.26.The rate of decrease in the price of stock B per hour is $0.14.Let the number of hours after which the prices of the two stocks become the same be "x".We also need to consider that the price of stock A is given at 9 a.m., whereas the price of stock B is given at 12 p.m.14.76 + (3+x)*0.09 = 15.26 - (x)*0.1414.76 + 0.27 + 0.09x = 15.26 - 0.14x0.23x = 0.23x = 1Thus, the number of hours after which the prices of the two stocks become the same is one hour.

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Find the probability.When a single card is drawn from an ordinary 52-card deck, find the probability of getting a heart.A) 1/13B) 1/4C) 1/26D) 1/52

Answers

The probability of getting a red 7 would be; 1/26

What is the probability?

Probability refers to a possibility that deals with the occurrence of random events.

The probability of all the events occurring need to be 1.

Given that the total number of cards is 52.

WE are asked to find the he probability of getting a red 7

Since there are 2 red 7 cards in the deck of cards.

So, the number of favourable outcomes would be 2.

n (E) = 2

The probability

P(E) = n (E) /n (S)

Therefore, the probability of getting a red 7 will be;

P(E) = n (E) /n (S)

P(E) = 2/52

P(E) = 1/26

Hence, The probability of getting a red 7 would be; 1/26

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Museum entrance tickets cost $25. Then each special exhibit a person wishes to visit costs an additional $4. Write an expression that represents the cost to enter the museum and visit any number of special exhibits. Then find the cost for a person to enter and visit three exhibits.

Answers

ANSWER

T = 4x + 25;

T = $37

EXPLANATION

Let the number of special exhibits to be visited be x.

The cost of the musuem entrance ticket is $25 and each special exhibit costs an additional $4.

This means that the cost of cisiting x additional exhibits is:

4 * x = $4x

Therefore, the total cost to enter the musuem and visit any number of special exhibits is:

T = 4x + 25

That is the expression that represents the total cost.

If a person wants to visit three exhibits, it means that:

x = 3

Therefore, the total cost, T, is:

T = 4(3) + 25

T = 12 + 25

T = $37

That is the total cost to enter and visit three exhibits.

Which digit represents 100 times the value of the ones place

Answers

Depending upon the position of the digits represent the 100 times the place value of the ones place.

What is place value?

In mathematics, every digit can be defined as a place value in a number. Basically, it is completely depends on the position of the digits in a number. Most of the number has same digits, but their positions are different, which makes the number different.

According to the question, all the digits represents 100 times the place value of the ones place.

Those digits can be defined as [0, 1, 2, 3, 4, 5, 6, 7, 8, 9]. But the position of the digit should be at the 100th place.

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A 16-foot ladder leaning against the side of a house reaches 12 feet up the house. What angledoes the ladder make with the ground?

Answers

Given:

By the definition of sin

[tex]\begin{gathered} \sin \theta=\frac{opposite\text{ }}{\text{hypotenuse}} \\ \theta=\sin ^{-1}(\frac{opposite\text{ }}{\text{hypotenuse}}) \\ \theta=\sin ^{-1}(\frac{12}{16}) \\ \theta=48.59^{\circ} \end{gathered}[/tex]

Answer:

[tex]\text{The ladder makes }48.59^{\circ}\text{ with the ground}[/tex]

LOOK AT THE PICTURE BELOW. Find an approximation for [tex] \sqrt{18} [/tex]

Answers

ANSWER:

[tex]\sqrt[]{18}=4.25[/tex]

STEP-BY-STEP EXPLANATION:

We have to calculate the square root of 18, to locate it on the graph, like this:

[tex]\sqrt[]{18}=4.2426\cong4.25[/tex]

Suppose that the relationship between the tax rate t on imported shoes and the total sales S (in millions of dollars) is given by the function below. Find the tax rate t that maximizes revenue for the government. (Round your answer to three decimal places.)

Answers

The given function for the sales of [tex]S(t) = 7 - 6 \cdot \sqrt[3]{t} [/tex], gives the tax rate that maximizes government revenue as t = 343/512

What is a government tax rate?

The tax rate is the percentage of an amount that is paid to the government as tax.

The given function is presented as follows;

[tex]S(t) = 7 - 6 \cdot \sqrt[3]{t} [/tex]

Where;

t = The tax rate on imported shoes

S = The total sales

Taking the total sales as contributing to the government revenue, R(t), we have;

Revenue = R(t)

Which gives;

[tex]R(t) = t \times (7 - 6 \cdot {t}^{ \frac{1}{3} }) [/tex]

At the maximum total sales, we have;

[tex] \frac{dR(t)}{dt} = \frac{d t \times\left(7 - 6 \cdot {t}^{ \frac{1}{3} } \right) }{dt} = 0 [/tex]

[tex]\frac{d t \times\left(7 - 6 \cdot {t}^{ \frac{1}{3} } \right) }{dt} = 7- 8 \cdot \sqrt[3]{t} = 0[/tex]

Which gives;

At maximum revenue, t = (7/8)³

t ≈ 0.669921875

The tax rate that maximizes the government revenue is t = 343/512

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3. Refer to Table 1. Which of the following price floors would be binding in this market?

$1
$2
$3
$4

Answers

Answer: Choice D)  $4

Explanation:

The term "binding price floor" means "a price that is above equilibrium".

If the floor is at equilibrium or lower, then buyers and sellers will just go for the equilibrium price (as they naturally would have done anyway) and there's no need for the floor. In such cases, the floor is considered non-binding.

As you pointed out in the table, the equilibrium price is $3 where quantity supplied equals quantity demanded. A binding floor price would be $4 since it's above equilibrium.

The surface area of a cube is 42 in2. What is the volume of the cube?

Answers

Answer:

7√7 in  or  18.52 in

=======================

Let the side of the cube be a.

Then its surface area is:

S = 6a²

Find the side of the cube:

42 = 6a²a² = 7a = √7

Find the volume of the cube:

V = a³ = (√7)³ = 7√7 18.52 in

If a number is added to the number of 5/6 and twice as much is added to the denominator, the result is 3/5, find the number

Answers

Answer:

[tex]x=7[/tex]

Step-by-step explanation:

We have the number:

[tex]\frac{5}{6}[/tex]

If a number is added to the numerator and twice as much is added to the denominator and the result is 3/5, we can create the following equation:

[tex]\frac{5+x}{6+2x}=\frac{3}{5}[/tex]

Solve for x, using cross multiplication:

[tex]\begin{gathered} 5(5+x)=3(6+2x) \\ 25+5x=18+6x \\ -x=-7 \\ x=7 \end{gathered}[/tex]

I need help on B and an explanation. Approximate bearinge angle

Answers

The bearing of a given point is the number of degrees in the angle measured in a clockwide direction from the north line.

Since we dont have a complete information about where point P is located with respect to point A and B, we can approximate the bearing point. Let's draw a picture of our problem:

As we can note, the approximate bearing angle is about 260 degres from point P.

Find the area of the circle pictured above. Round your answer to the nearest tenth in^2

Answers

Area of the circle is 28.3 in^2

Here, we want to find the area of the circle

Mathematically, the area is;

[tex]\begin{gathered} \text{Area of circle = }\pi\text{ }\times r^2 \\ But\text{ r = }\frac{d}{2} \\ \\ Area\text{ of circle = }\frac{\pi\text{ }\times d^2}{4} \\ \\ from\text{ the question, d = 6 inches} \\ \pi\text{ = }\frac{22}{7} \\ \\ \\ \text{Area of circle = }\frac{\frac{22}{7\text{ }}\text{ }\times6^2}{4} \\ \\ \text{Area of circle = }\frac{22\text{ }\times\text{ 36}}{28} \\ \\ \text{Area of circle = 28.2857} \\ \\ \text{Area of circle = 28.3 in\textasciicircum{}2} \end{gathered}[/tex]

A rectangle has a length that is 3 more than twice the width. Its perimeter is 96 inches. Which equation models this? A. 2w + 3 = 96 B. w + 2m + 3 = 96 C. 2(w) + 2(w + 3) = 96 D. 2(w) + 2(2w + 3) = 96

Answers

ANSWER

EXPLANATION

Let the length of the rectangle be L.

Let the width of the rectangle be w.

The length of the rectangle is 3 more than twice the width.

This means that:

L = 3 + (2 * w)

L = 2w + 3

The perimeter of a rectangle is given as:

P = 2w + 2L

The perimeter of the rectangle is 96 inches. This means that:

96 = 2L + 2w

Recall that: L = 2w + 3

=> 96 = 2(w) + 2(2w + 3)

=> 2(w) + 2(2w + 3) = 96

351,528.094 in word form

Answers

Three hundred fifty-one thousand five hundred twenty-seven and ninety-four thousandths

Can you find the area of a square using the given side lengths:

Answers

Answer

• d) 0.01 m²

,

• e) 12.25cm²

Explanation

The area of a square (A) is given by:

[tex]A=s^2[/tex]

where s represents the side length.

• d) ,s = 0.1 ,m

Replacing the data we get:

[tex]A=(0.1)^2[/tex]

Simplifying:

[tex]A=0.01m^2[/tex]

• e) ,s = 3.5cm

Replacing the data we get:

[tex]A=(3.5)^2=12.25cm^2[/tex]

What is the rest of the pattern.

3, 6, 10, 15, _, _, _.​

Answers

Answer:

3, 6, 10, 15, 21, 28, 36.​

Step-by-step explanation:

3  (+3),

6  (+4),

10  (+5),

15  (+6),

21  (+7),

28  (+8),

36

Answer:

If my theory is right the next 3 numbers are 21,28,36

Step-by-step explanation:

Looking at the beginning you see that 3 goes to 6 which is a hop of 3

Then next is 6 to 10 which is a hop of 4

Then next is 10 to 15 which is a hop of 5

So I think it’s going in a chronological number order

So I say the next hops will be 6,7,8

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