The manufacturer's suggested retail price (MSRP) for a particular car is $25,425, and it is expected to be
worth $11,730 in 5 years.
(a) Find a linear depreciation function for this car.
(b) Estimate the value of the car 7 years from now.
(c) At what rate is the car depreciating?
(a) What is the linear depreciation function for this car?
(Simplify your answer. Do not include the $ symbol in your answer.)

Answers

Answer 1

Answer:

(a) The linear depreciation function of the car which gives the worth of the car y after a number of years, t is given as follows;

y = 25,425 - 2,739 × t

(b) The value of the car 7 years from now is $6,252

(c) $2,739 per year

Step-by-step explanation:

The manufacture's suggested retail price (MSRP) for the car = $25,425

The amount the car is expected to be worth in 5 years = $11,730

(a) The linear depreciation is given as follows;

[tex]Depreciation \ Per \ Year \ = \dfrac{Cost \ of \, Asset - Salvage \ Value}{Life \ of \, Asset \ in \ use}[/tex]

Where;

Cost of Asset = $25,425

Salvage Value = $11,730

Life of Asset in use = 5 years

We get;

[tex]Depreciation \ Per \ Year \ = \dfrac{\$ 25,425 - \$11,730}{5} = \$2,739/year[/tex]

Therefore, the linear depreciation function, can be written as follows;

y - 25,425 = -2,739×(t - 0)

y = -2,739·t + 0 + 25,425 = 25,425 -2,739·t

y = 25,425 - 2,739 × t

Where;

y = The expected worth of the car after a given number of years

t = The number of years used for the calculation of the depreciation

(b) The value of the car 7 years from now is given by substitution as follows;

Whet t = 7, we have;

y = 25,425 -2,739·t = y = 25,425 -2,739 × 7 = $6,252

The value of the car 7 years from now = $6,252

(c) [tex]Depreciation \ Per \ Year \ = \dfrac{\$ 25,425 - \$11,730}{5} = \$2,739/year[/tex]

The car is depreciating at a rate of $2,739 per year.


Related Questions

if f(x)=3x^2+1 and g(x)=1-x, what is the vaue of (f-g)(2)?
[•12 •14 •36 •38]

Answers

Step-by-step explanation:

(f-g)(x) = f(x) - g(x).

When x = 2, f(2) - g(2) = 3(2)^2 + 1 - (1 - 2) = 12 + 1 + 1 = 14.

When a number is doubled and then added to 24,the result is 49

Answers

Answer:

Algebraic equation ; 2x+24 =49

x = 12.5

Step-by-step explanation:

Let the unknown number be x

[tex]2(x) +24 =49\\\\2x +24 =49[/tex]

Collect like terms and simplify

[tex]2x =49-24\\2x =25\\[/tex]

Divide both sides of the equation by 2

[tex]\frac{2x}{2} = \frac{25}{2} \\\\x = 12.5[/tex]

What is the value of the expression below when z = 7 and w=10?
7z +10w

Answers

Answer:

149

Step-by-step explanation:

z = 7 and w = 10

Equation:

7z + 10w

Substitution:

49 + 100

Answer:

149

Hope this helps :)

The required value of the given expression at z = 7 and w = 10 is given as 179.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

here,
Given expression,
z = 7 and w = 10

Now put these values in the given expression,
= 7z + 10w

= 7 × 7 + 10 × 10
= 49 + 100
= 149

Thus, the required value of the given expression is given as 179.

Learn more about simplification here:

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Which sequences are arithmetic? Select three options.

–8.6, –5.0, –1.4, 2.2, 5.8, …
2, –2.2, 2.42, –2.662, 2.9282, …
5, 1, –3, –7, –11, …
–3, 3, 9, 15, 21, …
–6.2, –3.1, –1.55, –0.775, –0.3875, …

Answers

Answer:

it should be 2nd option, 3rd, and 5th.

Step-by-step explanation:

From the given options

options I, III and IV  are Arithmetic sequences.

Given :

we are given with sequences. we need to check which one is arithmetic sequence.

A sequence is arithmetic when the consecutive terms have common difference.

Lets check one by one

[tex]-8.6, -5.0, -1.4, 2.2, 5.8,......\\-5-(-8.6)=3.6\\-1.4-(-5)=3.6\\2.2+1.4=3.6\\[/tex]

Its arithmetic because common difference is same 3.6

2, –2.2, 2.42, –2.662, 2.9282, …

-2.2-2=-4.2

2.42+2.2=6.62

Its not arithmetic

5, 1, –3, –7, –11, …

1-5=-4

-3-1=-4

-7+3=-4

-11+7=-3

Common difference is -4. So it Arithmetic

–3, 3, 9, 15, 21, …

3+3=6

9-3=6

15-9=6

Its Arithmetic

–6.2, –3.1, –1.55, –0.775, –0.3875, …

-3.1+6.2=3.1

-1.55+3.1=1.55

Its not Arithmetic

So, options I, III and IV  are Arithmetic sequences.

Learn more :  brainly.com/question/12870930

Se hizo un descuento por entrada así:10 % f1, 8 % f2, 6 % f3 y 4 % f4. Si los grupos entraron en las franjas 1, 2 y 4, ¿cuánto dinero NO tuvieron que pagar? A. $ 308000 C. $ 7700 B. $ 4492000 D. $ 96000

Answers

Trying b and tell me is not correct
Please tell me

q(x) = 2x+5
f(x)= x^2+1
find (gof)(7)

Answers

Answer:105

Step-by-step explanation:

first find f(7)

(7)^2 + 1

=50

then put the answer for f(7) in g of x

2(50) + 5

=105

When three times the sum of a number and seven is increased by ten, the result is four. What is the number ?

Answers

Answer:

x=9   :))

Step-by-step explanation:

First set up your equation.

"3 times" is multiplication

"THE SUM of A NUMBER and seven" that is parenthesis because of the multiplication before it

"is increased by ten" that is an addition at the end

Now we have 3(x+7)+10=4

Solve your equation!

Distribute the 3 now we have 3x+21+10=4

Add like terms

now it should look like this... 3x+31=4

Subtract 31 from both sides and it looks like...

3x=27

Divide by the x-value

x=9

The value of the number will be -9.

What is an expression?

Expression in math is defined as the collection of the numbers, variables and functions by using signs like addition, subtraction, multiplication, and division.

Given that;

The word expression is;

''Three times the sum of a number and seven is increased by ten, the result is four. ''

Now, Let a number be x.

Then, we can formulate the expression as;

3 (x + 7) + 10 = 4

Solve the expression for x as;

3 (x + 7) + 10 = 4

3x + 21 + 10 = 4

3x + 31 = 4

3x = 4 - 31

3x = -27

x = -9

Thus, The value of the number will be -9.

Learn more about the expression visit:

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which of the following expression, when evaluated, equals an irrational number ?

Answers

Answer:

the answer for number 38 is H

EMERGENCY!!! Bro PLEASE Help ME! I'll Mark you as Brainliest from all my accounts! Given the pre-image coordinates (0, 5), (-3, 2), (4, -1) and transformed image coordinates (2, -5), (-1, -2), (6, 1), what is the coordinate transformation in function notation?

Answers

Answer:

it transformed each point 2 units to the left and 10 units down.

function notation; f(x)= (2+x) -10

Step-by-step explanation:

The answer is -f(x) = x+2

Mike Is standing on a ladder that is partly in a hole he starts out on a rung that 6 feet underground climbs up 14 feet the climbs down 11 feet what is mikes final position relative to the ground level

Answers

Answer:

-3

mike's final position relative to the ground is 3 feet's underground

Step-by-step explanation:

We take positive value when he is above the ground and then take negative value when he is below or underground

6 feet's underground = -6

He climbs up 14 feet = +14

He climbs down 11 feet = -11

We are required to find his last position relative to ground level

= -6+14-11

= (-6) + (-11) + 14

= -17 + 14

= -3

So we have it that mike's final position relative to the ground is 3 feet's underground

Overview of transformation

Answers

Transformation gives you powers like no man before

Answer:

THE banking industry’s collective response to the pandemic thus far has been notable. It was no easy feat to go fully virtual and execute an untested operating model in a matter of weeks. Despite some hiccups, many banking operations were executed smoothly. Customers were served, employees were productive, and regulators were reassured. Banks effectively deployed technology and demonstrated unprecedented agility and resilience.

Simplify (6-2)(33)(3-6)

Answers

Answer:

-396

Step-by-step explanation:

Plug it into a calculator

4 x 33 = 132

132 x -3 = -396

4 x 33 x -3= 132 x -3= -396

please help which system of inequalities is represented by the graph

A) y<1
y-x<0

B) y>1
y-x<0

C) y>1
y-x>0

D) y<1
y-x>0

Answers

Your anwser is c. Y>1 y-x>0

what is the simplified value of the expression -2.6+5.8​

Answers

Answer:

[See Below]

Step-by-step explanation:

✦ Solve:

  ✧ -2.6 + 5.8 = 3.2

✦ Sometimes in math simplify could mean just solve and get the smallest version of that number. That's what it means in this case. So the simplified version would be 3.2.

~Hope this helps Mate. Feel free to message me if you need anything.

Solve: x + 1 > -5 (7-2x)

Answers

Answer:

x < 4

Step-by-step explanation:

Please see attached picture for full solution.

solve for n. n-5•2/3=3/4

Answers

Exact form is N=49/12 mixed number form is N=4 1/12

Step-by-step explanation:you have to simplify both sides and then isolate the variable.

Answer:

n=49/12 or 4 1/12

Step-by-step explanation:

n-5•2/3=3/4

n-10/3=3/4

n=3/4+10/3

n=49/12 or 4 1/12

2a=2b+c
I'm trying to find solve b​

Answers

Answer:

[tex]b = \frac{2a - c}{2} [/tex]

Step-by-step explanation:

[tex]2a = 2b + c[/tex]

[tex] = > 2b = 2a - c[/tex]

[tex] = > b = \frac{2a - c}{2} [/tex]

Show that each function is a quadratic function by writing it in the form
f(x) = ax² + bx+c and Identify a, b, and c.

1. h(x) = 2(x + 1)(3x – 4)

Answers

Answer:

h(x) = 2x² - 2x - 8

Step-by-step explanation:

Step 1: Write out equation

h(x) = 2(x + 1)(3x - 4)

Step 2: FOIL

h(x) = 2(x² - 4x + 3x - 4)

Step 3: Combine like terms (x)

h(x) = 2(x² - x - 4)

Step 4: Distribute

h(x) = 2x² - 2x - 8

A parking garage charges $1.75 for every hour of parking If C respresents the cost in dollars and t represents the time in hours,which the equation that correctly models this situation?

Answers

Answer:

C=1.75(t)

Step-by-step explanation:

The cost is however many hours spent multiplied by 1.75.

C=1.75(t)

Hope this helps :-)

PLEASE HELP!!!!There is an 80% chance of rain. The tennis team has a 75% chance of winning if it doesn't rain and only a 35% chance of winning if it does rain. Make a tree diagram with the following probabilities. ~Will mark brain

Answers

Answer:

00304761

Step-by-step explanation:

Help me do this please

Answers

Answer:

r = - 2

Step-by-step explanation:

Use the slope formula to find m then equate to - 1

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (6, r) and (x₂, y₂ ) = (9, - 5)

m = [tex]\frac{-5-r}{9-6}[/tex] = [tex]\frac{-5-r}{3}[/tex]  = - 1 ( multiply both sides by 3 )

- 5 - r = - 3 ( add 5 to both sides )

- r = 2 ( multiply both sides by - 1 )

r = - 2

please i need help like right now

Answers

I have no idea what to do. We have to do the same stuff too

4) If two cartons of soda cost $4.98, how much would 5 cartons of seda cost?
Cartons of Soda
Price

Answers

Answer: $12.45
Explanation: Two cartons cost $4.98, divide 4.98 by two to find the price of one carton of soda, 4.98 divided by 2 = $2.49. Multiply by 5 to find the cost of five cartons of soda. $2.49•5=$12.45
If you divide 4.98 by 2 you get 2.49. This is the cost for 1 carton. Since it’s asking for 5 cartons , you multiply the cost of one (2.98) by 5. Then you get 12.45. But you need to put it in dollars so that’s $12.45.

Can someone help me which are correct?

Answers

Answer:

Between the first option and the last option.

Step-by-step explanation:

first choice: c, a, d, b, e

last/fourth choice: a,c,d,b,e

Red pencils cost 3 for 10¢. Blue pencils cost 5¢ each. Green pencils cost 2 for 5¢. If you can purchase any color you wish, what is the greatest number of pencils you can you can buy for 50¢?

Answers

Answer: 20 green pencils

Step-by-step explanation:

given data:

cost of red pencils = 3 for 10¢.

cost of green pencils = 2 for 5¢.

cost of blue pencils = 5¢/each.

Greatest number of pencils one can buy for 50¢ By choosi any color is 20pencils which is green

red pencils 50¢ = 15 pencils

green pencils 50¢  = 20 pencils

blue pencils 50¢  = 10 pencils

Answer:

20

Step-by-step explanation:

While hiking Mr.Condo burns 402 calories in 6 hours. how many calories does he burn in 60 minutes

Answers

In 360min(6hrs),402 calories burn.
In 1min,402/360 calories burn.
In 60min 402/360*60=67 calories burn.

evaluate f(g(5)) if F (x) = 5x + 2 and g (x) =X2 -4

Answers

Answer:

Step-by-step explanation:

g(5) = 5^2 - 4 = 25 - 4 = 21

f(21) = 5(21) + 2 = 105 + 2 = 107

which is a factor of the polynomial f(x)=6x^4 -21x^3-4x^2+24x-35
A: 2x-7
B: 2x+7
C: 3x-7
D:3x+7

Answers

Answer:

the answer is the first option, A) 2x-7

Step-by-step explanation:

Answer:

"Ay Cuz!" get it no okay but A is the answer

Step-by-step explanation:

Gena's grandparents live 335.5 miles from Gena's house on a trip to visit them she drove 105.6 miles and stop to get something to eat she drove another 180 miles and stop for gas how many miles father did she have to drive to reach her grandparents house

Answers

Answer:

49.9

Step-by-step explanation:

335.5 minus 105.6 minus 180 = 49.9

i need help? i don’t understand this ?

Answers

Answer:

the answer is ab

Step-by-step explanation:

you should go to the x axis and go to the four then go up 7 and it should land on the line in between a and b

Let me know if this helps :)

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