You are considering buying two different vehicles. • The first is a van at $20,523, and an estimated annual operating cost of $3200. • The second is a fuel-efficient car at $23,540 and an estimated annual operating cost of $2450. Use these equations to represent the cost (y) of the cars over x years: Y = 20,523 + 3200 X Y = 23,540 + 2450 X

Answers

Answer 1

Answer:

Fill in the following tables, using the equations.

Cost of owning and operating the vehicles

Vehicle    0              1              2             3             4               5             6    

Van     $20,523   $23,723  $26,923  $30,123  $33,323 $36,523  $39,723

Car      $23,540  $25,990  $28,440  $30,890 $33,340 $35,790  $38,240

How much does each vehicle cost initially?

Van costs $20,523Car costs $23,540

How much does each cost to operate for one year?

Van costs $3.200Car costs $2,450

Which one initially costs less?

Van

Which one will cost less over the six years?

Car

When do they cost about the same?

year 4: van accumulated costs $33,323 and car accumulated costs = $33,340

Answer 2

By calculating the costs over various years, you can determine which vehicle is more cost-effective based on the expected ownership duration. For instance, over 5 years, the fuel-efficient car is cheaper.

To compare the total cost of the van and the fuel-efficient car over time, we will use the given equations:

For the van: Y = $20,523 + $3200XFor the fuel-efficient car: Y = $23,540 + $2450X

Here, Y represents the total cost over X years. To determine which vehicle is more cost-effective over a certain period, we need to calculate and compare the costs for various values of X.

Example Calculation:

Suppose we compare the costs for 5 years.

For the van:
Y = $20,523 + $3200(5)
Y = $20,523 + $16,000
Y = $36,523For the fuel-efficient car:
Y = $23,540 + $2450(5)
Y = $23,540 + $12,250
Y = $35,790

In this 5-year scenario, the fuel-efficient car is cheaper than the van.

By performing similar calculations for different time periods, you can determine which vehicle is more cost-effective based on your expected ownership duration.


Related Questions

racer had a bag of marbles he had 7 blue marbles 5 green marbles 5 red marbles and 1 yellow marble whta is the probrability of choosing a blue marble? i need the answer in fraction pls

Answers

7/18 is the answer because you have 7 blue marbles and 18 marbles in total. So when you write it as a fraction, it would be 7/18.

The probability of choosing a blue marble is 7/18.

To find the probability of choosing a blue marble, we use the formula:

Probability = Number of favorable outcomes / Total number of possible outcomes

In this case, the number of favorable outcomes is 7 (because there are 7 blue marbles) and the total number of possible outcomes is 18 (because there are 7 blue marbles + 5 green marbles + 5 red marbles + 1 yellow marble). So the probability of choosing a blue marble is 7/18.

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Does anyone knows this ?

Answers

Answer:

The answer to this question is B

Step-by-step explanation:

Answer:

I think its b) y=2x-3

Step-by-step explanation:

The answers are all in slope-intercept form: y= mx+b. In slope-intercept form m represents the slope and b represents the y-intercept. (Its confusing, I know).

The slope here is 2/1 or 2. Considering rise/run we can see that the line goes up (rise) two (2) points and over (run) one (1).

Now we have y= 2x+b, we just need the y-intercept.

Looking at the y-axis, the line crosses at (0, -3). So the y-intercept is -3!

That gives us y=2x-3

I really hope this helps

4 out of 5 students eat lunch in the cafeteria. How many of the 400 students would you expect to eat in the cafeteria? ( this has to deal with probability)

Answers

Answer: 320/400

Step-by-step explanation:

4/5  

400 divided by 5= 80

4 times 80= 320

Answer:

320?

Step-by-step explanation:

Use the sample data from the sample to find the best estimate for the proportion of the population that answered yes

Answers

Answer:

I dont see a sample.

Step-by-step explanation:

What is the name of the federal agency that regulates the investment industry?
A. SEC
B. S&P 500
C. NYSE
D. Dow Jones

Answers

Answer:

sec

Step-by-step explanation:

The name of the federal agency that regulates the investment industry is SEC. Therefore, option A is the correct answer.

What is the federal agency?

Federal agencies are specialized government institutions created for a particular function, such as resource management, financial regulation of specific sectors, or matters of national security. Although a presidential order may also be used to establish these organisations at first, legislative action is usually required to establish them.

The Securities and Exchange Commission (SEC) was founded as an independent federal agency by the Securities Exchange Act of 1934. The Securities and Exchange Commission (SEC) is one of the most wide and powerful bodies, enforcing Securities legislation in the United States controlling the bulk of the securities business. In addition to other electronic securities markets and enterprises, it oversees stock exchanges, options markets, and options exchanges in the United States. It also regulates financial advisers who are not governed by the government.

Therefore, option A is the correct answer.

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Find the slope of the line graphed. A) − 4 5 B) − 5 4 C) 4 5 D) 5 4

Answers

show a picture of the line please

PLZ HELP DEPENDS ON MY GRADE WILL BE MARKING BRAINLIEST ANSWER! I NEED AN EXPLANATION AND VERIFIED ANSWER! I WILL BE MARKING BRAINLIEST!

Answers

Answer:

A

Step-by-step explanation:

How can a scientific investigation be an adventure?

Answers

Answer: Because you do many tasks and activities to find your goal/answer. Therefore, similar to an adventure hunt

Step-by-step explanation:

Your math teacher asks you to calculate the height of the goal post on the football field. You and a partner gather the measurements shown. Find the height of the goal post, rounded to the nearest tenth of a foot.

Answers

Answer: The height of the goalpost is 41.6 feet (to the nearest tenth of a foot)

Step-by-step explanation: The figure shows an observer looking up at a goalpost at an angle of elevation of 61 degrees. The observer is 20 feet away from the base of the goalpost and he is standing 5.5 feet from the ground. This means the total height of the goalpost shall be an addition of the observer's height plus the calculated length of the portion of the goalpost as indicated by the right angled triangle.

We now have a right angled triangle, with one of the other two angles measuring 61 degrees and this shall be the reference angle. The side facing the reference angle is the opposite and is yet unknown. Also, the length from his position to the base of the goalpost is the adjacent (the side that lies between the right angle and one of the other two sides. To calculate the height,

Tan 61 = opposite/adjacent

Tan 61 = opposite/20

Tan 61 x 20 = opposite

1.8041 x 20 = opposite

36.082 = opposite.

Remember that the entire length of the goalpost includes the height of the observer (which is 5.5 ft). The height of the goalpost therefore is

Height = 5.5 + 36.082

Height = 41.582

The height of the goalpost rounded to the nearest tenth of a foot is

41.6 feet

The height of the goal post rounded to the nearest tenth is 41.6 ft

The situation forms a right angle triangle .

Properties of a right angled triangle:One of its angle is equals to 90 degreesThe sides and angle can be found using trigonometric ratios.

The height of the goal post is the height of the person plus the height of the triangle formed.

Therefore, lets find the height of the triangle formed using trigonometric ratios,

tan 61° = opposite / adjacent

tan 61° = h / 20

cross multiply

h = 20 tan 61

h = 20 × 1.80404775527

h = 36.0809551054

Therefore,

height of the goal post = 36.0809551054 + 5.5 = 41.5809551054

height of the goal post ≈ 41.6 ft

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The table shows the type of super power students wish they had. Super power Students Flight 888 Super strength 101010 X-ray vision 666 Invisibility 121212

Answers

Answer:

the answer is A and B

Step-by-step explanation:

The ratio of the students who wish to have X-ray vision will be 1:6 and the probability of the student can fly will be 2 / 9. Then the correct options are A and B.

What is probability?

Its basic premise is that something will almost certainly happen. The percentage of favorable events to the total number of occurrences.

The table shows the type of superpower students wish they had.

    Super power       Students

        Flight                     8

  Super strength           10

     X-ray vision              6

       Invisibility               12

         Total                    36

Then the ratio of the students who wish to have X-ray vision will be

⇒ 6 / 36

⇒ 1 / 6

Then the probability of the student can fly will be

P = 8 / 36

P = 2 / 9

Then the correct options are A and B.

The complete question is given below.

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Ok so I need to evaluate three questions without a calculator
a.) log2 32
b.) log7 1
c.) log5 625
I did them but can someone check my work(I didn’t put down answers yet)? I put:
a.) log2 32= log32/log2 =?
b.) log7 1= log1/log7 =?
c.) log5 625= log625/log5 =?

Answers

Step-by-step explanation:

log2 32= log32/log2= log 2^5/log2=5log2/log2=5 (log2=0.3)

log7 1= log1/log7= 0 (log1=0)

log5 625= log625/log5= log5^4/log5= 4log5/log5= 4 (log5=0.69)

Which is the equation for the graph of the limacon curve below? [- 5, 5] by [- 5, 5) r=3-2sin theta r=2-3 sin theta r=2-2 sin theta r=4- sin theta

Answers

Answer:

D

Step-by-step explanation: On Edge

Answer:

A

Step-by-step explanation:

i know its late for the original post but for people coming after to get the answers its definitely A. i graphed it on desmos

The color of the light changes in the scenario because a volcano erupts. The light is the variable.


When the color of the light changes, the number of light red kidney beans will also change. The population of light red kidney beans is therefore the variable.

Answers

The color of the light changes in the scenario because a volcano erupts is independent variable and When the color of the light changes, the number of light red kidney beans will also change. The population of light red kidney beans is therefore the variable is dependent variable.

What is Expression?

An expression is combination of variables, numbers and operators.

Dependent variable is something that depends on other factors.

Independent variable is a variable that stands alone and isn't changed by the other variables you are trying to measure.

The color of the light changes in the scenario because a volcano erupts. The light is the independent variable.

When the color of the light changes, the number of light red walking beans will also change. The population of light red walking beans is therefore the dependent variable.

Hence, The color of the light changes in the scenario because a volcano erupts is independent variable and When the color of the light changes, the number of light red kidney beans will also change. The population of light red kidney beans is therefore the variable is dependent variable.

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Answer:

The color of the light changes in the scenario because a volcano erupts is independent variable and When the color of the light changes, the number of light red kidney beans will also change. The population of light red kidney beans is therefore the variable is dependent variable.

Step-by-step explanation:

Which of the following possibilities will form a triangle?
A: Side = 15 cm, side = 7 cm, side = 7 cm

B:Side = 15 cm, side = 7 cm, side = 9 cm

C: Side = 14 cm, side = 6 cm, side = 7 cm

D:Side = 14 cm, side = 6 cm, side = 8 cm

Answers

Answer:

B

Step-by-step explanation:

A: 15+7>7

   7+7<15

B: 15+7>9

   15+9>7

   7+9>15

Answer:

Answer:

B

Step-by-step explanation:

A: 15+7>7

  7+7<15

B: 15+7>9

  15+9>7

  7+9>15

Did these sales increase decrease stay the same or are they undetermined

Answers

I would say increase, because even though it decreased for a moment i continued to increase afterwards.

Helpp quickly please this is a test​

Answers

Answer: 3

Step-by-step explanation:

I think The answer is c

Find the exact value of cot( sin-'(-1)).
O A. Undefined
O B. O
O C. -1
O D. 1​

Answers

B. 0. type it into your inspire calculator and this is the answer

The value of the trigonometric relation cot ( sin⁻¹ ( -1 ) ) = 0

What are trigonometric relations?

Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles

The six trigonometric functions are sin , cos , tan , cosec , sec and cot

Let the angle be θ , such that

sin θ = opposite / hypotenuse

cos θ = adjacent / hypotenuse

tan θ = opposite / adjacent

tan θ = sin θ / cos θ

cosec θ = 1/sin θ

sec θ = 1/cos θ

cot θ = 1/tan θ

Given data ,

Let the trigonometric relation be represented as A

Now , the value of A is

A = cot ( sin⁻¹ ( -1 ) )    be equation (1)

On simplifying , we get

The value of ( sin⁻¹ ( -1 ) ) = -π/2

where sin (-θ) = -sin (θ)

So , A = cot ( -π/2 )

From the trigonometric relations ,

cot (-θ) = -cot (θ)

cot ( -π/2 ) = 0

Hence , the trigonometric relation is solved

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Subtract.
Your answer should be a polynomial in standard form.
(5p – p) – (7p? — 4p - 3)

Answers

Answer:

Step-by-step explanation:

convert 4600 centigrams to decagrams​

Answers

The answer would be 460 decigrams.

Answer:

4.6 decagrams.

Step-by-step explanation:

If you multiply 4600 x .001 you get 4.6.

Feel free to let me know if you need more help. :)

Factor completely 2x^2+4x-2

Answers

Answer:

2x^2+4x-2  =  2 * (x - 1 -[tex]\sqrt{2}[/tex]) * (x - 1 + [tex]\sqrt{2}[/tex])

Step-by-step explanation:

Factor completely 2x^2+4x-2

2x^2+4x-2 =  2* (x^2 + 2x - 1)

x = 1  +  root( 4 - 4*(-1))/2

x = 1 + root(2)

and x = 1 - root(2)

Which of the following are operations in the algebra of sets?

multiplication

union

division

Intersection

subtraction

Select all that apply

Answers

union and intersection

find the length of the third side to the nearest 10th

Answers

Answer:

9.5

Step-by-step explanation:

Using the pythagorean theorem a^2+b^2=c^2, we can say that 3^2+b^2=10^2.

Simplify and you get 9+b^2=100. Subtract 9 from both sides and you get b^2=91. When you take the square root you get 9.53939... round to the nearest tenth and the missing side is 9.5.

Find the total paid on a $65,000 loan with 6% simple interest for 4 years

Answers

Answer:

**If the interest is by year then this should work

The interest is $15600 and the amount is $80600.

Step-by-step explanation:

Problem

You deposit $65000 into a bank account paying 6% simple interest per year. You left the money in for 4 years. Find the interest earned and the amount at the end of those 4 years?

Result:

The interest is $15600 and the amount is $80600.

Find the equation of the line
use exact numbers

Answers

Answer:

b

Step-by-step explanation:

The trapezoids are similar. The area of the smaller trapezoid is 709 m2. Find the area of the larger trapezoid to the nearest whole number.

Answers

Answer:

564 (57/24)2

= 564 · 5.64

= 3,181

Step-by-step explanation:

i think i dont know

Answer:

1479

Step-by-step explanation:

NEED ASAP!!!!By visual inspection, determine the best-fitting regression model for the data plot below
A.No pattern
B.Quadratic
C.Exponential
D.Linear

Answers

Answer: Linear

Step-by-step explanation:

Answer:

linear

Step-by-step explanation:

a p e x

Which are the coordinates of the vertices of the reflected figure when triangle ABC is reflected across the x-axis? 100 POINTS
A'(–5, –3)
B'(3, –2)

C'(–2, –2)

A'(–5, –3) B'(3, –2)
C'(2, 2)


A'(5, 3) B'(3, –2)
C'(2, 2)


A'(5, 3) B'(–3, 2)
C'(–2, –2)

Answers

Answer: Notice that since the line of reflection was the x-axis, the x-coordinate of each vertex stays the same and the y-coordinate of each vertex is the opposite of the original vertex, so in that case, the answer is

Option 4 or D.

Plz mark brainliest thxx

Answer:

its the 2nd one jarvis

Step-by-step explanation:

Which Numberline shows -4, -2, 1, and 2 plotted correctly? Pics for C and D are in the next picture.

Answers

Answer:

B

Step-by-step explanation:

Please answer this question

Answers

Answer:

2.25KM

Step-by-step explanation:

What is the mean of the data set?
{12, 14, 16, 14, 13, 18, 20, 16, 14, 23}

Answers

Answer:

16

Step-by-step explanation:

160/10 = 16

Answer:

16.75 or 16

Step-by-step explanation:

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