A brand new car costs $18,000, this price depreciates at 25% every year, how much would the car be after 12 years? 20 years?

Answers

Answer 1

Answer:

C(12)=$570.18

C(20)=$57.08

Step-by-step explanation:

Exponential Decay Function

The exponential function is often used to model natural growing or decaying processes, where the change is proportional to the actual quantity.

An exponential decaying function is expressed as:

[tex]C(t)=C_o\cdot(1-r)^t[/tex]

Where:

C(t) is the actual value of the function at time t

Co is the initial value of C at t=0

r is the decaying rate, expressed in decimal

The depreciation of goods is often modeled as an exponential function. The new car costs $18,000 and its price depreciates at r=25%= 0.25 every year.

The depreciation model is:

[tex]C(t)=18,000\cdot(1-0.25)^t[/tex]

Operating:

[tex]C(t)=18,000\cdot 0.75^t[/tex]

At t=12 years, the price will be:

[tex]C(12)=18,000\cdot 0.75^{12}[/tex]

C(12)=$570.18

At t=20 years, the price will be:

[tex]C(20)=18,000\cdot 0.75^{20}[/tex]

C(20)=$57.08

Related Questions

The units digit of a two-digit number is four more than the tens digit. If the number is doubled, it will be one more than the reversed number. Find the number. (Number: 32 Reversed number: 23)

Answers

Answer:

Step-by-step explanation:

2-digit number: 10x + y

y = x + 4

20x + 2y = 10y + x + 1

8y = 19x - 1

8x + 32 = 19x - 1

11x = 33

x = 3

Number: 37

Answer:

Answer:

Step-by-step explanation:

2-digit number: 10x + y

y = x + 4

20x + 2y = 10y + x + 1

8y = 19x - 1

8x + 32 = 19x - 1

11x = 33

x = 3

Number: 37

Reasoning How can you find the slope of the
line that passes through the points (0, 0) and
(2, 4)? Explain.

Answers

use the equation y2-y1/x2-x1 so you would do 4-0/2-0= 4/2= 2 so your slope is 2

Ricky and Sam each bought a remote control car for $80. A few months later they both sold it. Ricky sold his car for 25% less than the original price and Sam sold his car for 30% less than the original price. How much more did Ricky get than Sam?

Answers

Answer:

Step-by-step explanation:

25/100 x 80/1 = 20/1

80 - 20 = 60

30/100 x 80/1 = 24/1

80 - 24 = 56

60-56=4

Decide whether this statement is always true, never true, or sometimes true, and explain why: In a quadratic equation of the form 0 = ax2 + bx + c, there will be two real solutions if a and c are of opposite signs

Answers

Answer:

Always true

Step-by-step explanation:

Here, we want to evaluate if the given statement is true

The discriminant D can be calculated using the formula;

b^2 - 4ac

if D is greater than 0, then we will have only real roots

In a case where a and c are of opposite signs;

then -4ac will always give a positive value which can be added to b^2

This positive value will ensure that D is greater than zero and hence we can have only real roots

So this assertion is always true if a and c are of opposite signs

x-intercept (0,-7)
Y-intercept (2,0)
Are my answers right ?

Answers

Well the numbers are right, but not the order.

First the x-intercept is (-7,0) not (0,-7) ---- It's (x,y) though ---------

Second the y-intercept is (0,2) not (2,0)

You got them swapped but the numbers are correct anyway.

what do u call girl giving away 100 points and nothing to do?

Answers

Answer:

i dont know but thanks for the points

Step-by-step explanation:

Convert 156% to a decimal

Answers

Answer:

1.56

Step-by-step explanation:

156 divided by 100

Answer:

1.56

Step-by-step explanation:

To convert a percentage to a decimal, you must divide the number by 100 because percentages are out of 100. 156 percent can also be written as 156/100 which you can simplify to 1.56.

solve the equation 7- 14m = 2m - 5

Answers

Answer:

m = 6/7

Step-by-step explanation:

Rearrange the equation so that like terms are on either side

7 + 5 = 2m + 14m

12 = 14m

Divide both sides by 14 so that the variable is on its own

12/14 = m

m = 6/7

simplify 5a+7b-12a+6c-13b-22a+53c

Answers

Answer:

−29−6+59

Step-by-step explanation:

About plants:
so photosynthesis produces oxygen as a waste product, but then respiration uses oxygen to produce carbon dioxide, so like doesnt that 'cancel' each other out? im confused if plants are actually helpful or not (oxygen wise)

Answers

plants are very helpful because we get oxygen from plants to inhale and Excel carbon dioxide which is unsuitable for a good environment plants inhale carbon dioxide and consumed at and XL oxygen which we inhale carbon dioxide is a major reason for global warming and plants are very helpful in our life because if there are no plants = no life because no oxygen

a parabolic lamp is facing due east. The bulb (located at the focus) is 8 inches away from the vertex (located at the origin). the lamp has a diameter of 20 inches. Which is the depth of the dish?

Answers

9514 1404 393

Answer:

3 1/8 inches

Step-by-step explanation:

For focus-vertex distance p, the equation of the parabola can be written ...

y = x^2/(4p)

Here, we have p=8. We want to find the value of y when x=10 (the radius of the dish). That is ...

y = (10^2)/(4·8) = 100/32 = 3 1/8

The dish is 3 1/8 inches deep.

-11/16 what is that lol i’m so lost

Answers

-11/16 = -0.6875

What part are you lost on, do you want me to teach you how to divide them?

Answer:

-0.6875

Step-by-step explanation:

-11/16 = -0.6875

(positive and negative numbers multiplied/divided give a negative number)

Grace wants to frame a square picture which has a area of

950 square inches.

How long is each side of the picture?

She has another square picture with an area of 1200 square inches.
How long is each side of this picture?

Answers

Answer:

First Picture: Length = 30.82in

Second Picture: Length = 34.64in

Step-by-step explanation:

Given

Picture 1:

Area = 950in²

Picture 2:

Area = 1200in²

Required

Determine the length of each pictures

From the question, we understand that both pictures are square in shape and the area is calculated as thus:

Area = Length²

For the first picture, substitute 950 for Area

This gives:

950 = Length²

Length ² = 950

Take square root of both sides

Length = √950

Length = 30.8220700148448822

Length = 30.82 (approximated)

Hence, the length of the first picture is 30.82in

For the second picture, substitute 1200 for Area

This gives:

1200 = Length²

Length² = 1200

Take square root of both sides

Length = √1200

Length = 34.6410161513775458

Length = 34.64 (approximated)

Hence, the length of the second picture is 34.64in

What is -6k + 15k + 8

Answers

Answer:

9k + 8

General Formulas and Concepts:

Algebra I

Combining like terms

Step-by-step explanation:

Step 1: Define expression

-6k + 15k + 8

Step 2: Simplify

Combine like terms (k): 9k + 8

And we have our final answer!

Hey can you please help me

Answers

M= -2
B= 4
Dashed below

Given that f(-3) = 4 and f'(-3) = 2, which of the following is the tangent line
approximation of f(-3.1)?

Answers

Answer:ask mj

Step-by-step explanation:

Simplify:
(-9x) - (7+3x)

A) -12x
B) -12 + 7
C) -12x - 7
D) -x - 7

Answers

Answer:

C.)-12x-7

Step-by-step explanation:

-9x-7+3x

-3x -3x

-12x-7

Answer:

The solution is C) -12x - 7

Step-by-step explanation:

(-9x) - (7+3x)

= -9x-3x-7

= -12x - 7

two frights of twenty five is decreased by three

Answers

Answer:

Yes

Step-by-step explanation:

Sharon drove 270 miles in 4.5 hours. If she drove at a constant rate, how fast was Sharon driving?

Answers

Answer:

Sharon was driving 60 miles per hour.

Step-by-step explanation:

To solve this you must divide both the amount of miles (270) and the amount of hours (4.5) by the amount of hours so that way you can see how many miles per hour you are going.

4.5 / 4.5 = 1

270 / 4.5 = 60

This means that Sharon was driving 60 miles per hour.

Jackie won tickets playing the bowling game at the local arcade. The first time, she won 6 tickets. The second time, she won a bonus, which was 4 times the number of tickets of the original second prize. Altogether she won 200 tickets. How many tickets was the original second prize?

Answers

Answer:

it might be 48 tickets.

............................... 6/2(1+2)

Answers

Answer:

Step-by-step explanation:

6/2(1+2)

=3*3

Answer:

Step-by-step explanation:

6/2 is 3 and 1+2 is three and 3 + 3=6

Evaluate |x^2 +9x| at x = -4

Answers

|(-4)^2 + 9(-4)|
|16 - 36|
|-20|
20

what is the solution for x in the equation?

Answers

Answer:

x = 5/2 is the answer to the question

what is the following sum ?

Answers

Answer: 4th option

Explanation:

I added a picture so please check it

Is this relation a function? Justify your answer.
10
9
8
7
B
5
4
.
3
2
1 2 3 4 5 6 7 8 9 10 11
A. Yes, because every x- and y-value is positive.
OB. No, because two points with the same x-value have different ya
values,
OC. Yes, because the number of x-values is the same as the number o
y values
D. No, because two points with the same y-value have different x-
values

Answers

Answer:

Step-by-step explanation:

Eveey input must have exactly one output, x is always the input and y is the output and there are two y outputs on one x input so it is not a function.

Hope this helps! If you have any questions on how I got my answer feel free to ask. Stay safe!

Need help fast with my work

Answers

Answer:

-25

Step-by-step explanation:

Please help me I will really appreciate it!!!

Answers

The answer is the third one

it is equal to the third one for sure

-2x + 3(-4x + 6) =116
What is it

Answers

Answer
X=-7

Step by step:

X = -7 is correct.......

PLEASE HELP! What is the volume of the pyramid shown below?

Answers

The formula for the volume of a pyramid is,

V=1/3Bh

Since the base of the pyramid is a square, the base area is 11^2

which equals 121 sq. units

So, substitute 121

for B

and 6 for h, in the formula.

V=1/3(121)(6) = 242 cu. units

Or alternatively 1/3(11^2)(6) = 242 cu. units

Answer:

242 cubic units

Step-by-step explanation:

The total cost in dollars to buy uniforms for the players on a volleyball team can be found using the function C equals 34.95 you +6.25 where you is the number of uniforms but if there are at least eight players but no more than 12 players on the team what is the domain you of the function for this situation

Answers

Answer:

8 ≤ u ≤ 12

Step-by-step explanation:

Given:

C = 34.95u +6.25

Where,

u = number of uniforms

what is the domain you of the function for this situation

The number of uniforms depend on the number of players

If there are at least 8 players but not more than 12 players on the volleyball team.

u ≥ 8

u ≤ 12

The domain of the function is

8 ≤ u ≤ 12

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