The value of car after it is purchased depreciates according to the formula Vn=250000.85n, where V(n) is the car’ value in the nth year after it was purchased.

What is the purchased price of the car?
What is the annual rate of depreciation?
How much value does it lose in its fifth year?
After how many years will the value of the car be half of the original purchased price?

Answers

Answer 1

Answer:

25000

0.15

−1957.523

Step-by-step explanation:

Given the function :

Vn=250000.85n

Value of car due to Depreciation,

V(n) value of car after n years.

Initial value of car ; value of car at year 0

V(0) = Vn=25000(0.85)^(0)

V(0) = 25000(0.85)^0

V(0) = 25000(1)

V(0) = 25000

The Decay rate = annual Depreciation

According the exponential function.

mb^n

m = initial value

b = 1 - Decay rate

Relating to the equation given :

b = 0.85

0.85 = 1 - Decay rate

Decay rate = 1 - 0.85

Decay rate = 0.15

Value lost in fifth year : V(5) - V(4)

n = 5

V(5) = 25000(0.85)^5

V(5) = 25000 * 0.4437053125

V(5) = 11092.6328125

V(4) = 25000(0.85)^4 = 13050.15625

11092.6328125 - 13050.15625

= −1957.523


Related Questions

guess a number from 1 -10
ill mark u brainliest if u get it right

Answers

Answer:

7

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Fitness R Us charges $58 to join the club. During January, the club has a markdown of 51% per joining fee. What is the fee in January? plz help me.

Answers

Answer:

100-51=49

49/100 x 58

= $28.42

Answer:

28.42

Step-by-step explanation:

the equation would be 58 times .49

58 times .49 is 28.42

Find the degree of the polynomial -m^6-10m^3

Answers

Answer:

We conclude that:

The degree of the polynomial is 6.

Step-by-step explanation:

Given

Given the polynomial

[tex]-m^6-10m^3[/tex]

To determine

The degree of the polynomial

In order to determine the degree of the polynomial, we need to check the term with the highest of the degree with non-zero coefficients. The degree of an individual term is basically the exponent of the term.

In our case,

The exponents of the terms of this polynomial are, in order, 6, and 3.

Thus, the highest degree (larger exponent) of the term is 6.

Therefore, we conclude that:

The degree of the polynomial is 6.

I NEED HELP PLZ I WILL GIVE THANKS AND BRAINLIST

Answers

Answer:

yes

Step-by-step explanation:

you would multiply 2 and 3 then you would add whatever you got from that to 3 which would be 6+3

hope this helps!

11.
The domain of f(x) is [4, 5, 6]. If f(x) = 3x + 2, what is the range?​

Answers

Answer:

The range of the function is:

Range R = {14, 17, 20}

Step-by-step explanation:

Given the function

[tex]f(x) = 3x + 2[/tex]

We also know that range is the set of values of the dependent variable for which a function is defined.  

In other words,  

Range refers to all the possible sets of output values on the y-axis.

We are given that the domain of the function is:

Domain D = {4, 5, 6}

Now,

substituting x = 4 in the function

f(4) = 3(4) + 2

f(4) = 12 + 2

f(4) = 14

substituting x = 5 in the function

f(5) = 3(5) + 2

f(5) = 15 + 2

f(5) = 17

substituting x = 6 in the function

f(6) = 3(6) + 2

f(6) = 18 + 2

f(6) = 20

Thus, we conclude that:

at x = 4, y = 14

at x = 5, y = 17

at x = 6, y = 20

Thus, the range of the function is:

Range R = {14, 17, 20}

Originally, Juan borrowed $10, but his mother loaned him $3 more, so he borrowed a total of $13. He sells $25 worth of lemonade in his first week. How much money will he have left after he pays back his mother?

Answers

Answer:

$12

Step-by-step explanation:

Juan borrowed $10

His mother loaned him $3 more

= $10 + $3

= $13

He sold $25 worth of lemonade in the first week

If the pays his mother then the amount that will be left with him can be calculated as follows

= $25 - $13

= $12

Answer:

$12

Step-by-step explanation:

got it on edge

what is the value of x ?

Answers

Answer:

6

Step-by-step explanation:

A company offers a flood insurance policy that costs a
homeowner $200 per year, and the company will make a
payout of $100,000 to the homeowner if they have a
flood in that year. The company set this price based on
the probability of a flood in the area being 0.001.
The table below displays the probability distribution of
X = the company's profit from one of these policies.

Answers

Answer:

3,161

Step-by-step explanation:

Khan

You only have to solve one of them but please explain how to do it because I have many more

Answers

85. Relative mins are at x=-1 and x=3; relative max x=1
As x > -infinity, y > infinity
As x > infinity, y > infinity

Can someone help me with this: Write a word phrase that equals the equation x + 7x = 1200.

Answers

Answer:

A number plus seven times itself equals 1200.

Step-by-step explanation:

The number is "x", and 7 times itself is 7 "x". When one adds the two, they get 1200. Hence it models the situation;

x + 7x = 1200.

Answer:

Step-by-step explanation:

marc has x amount of money. His mom offers to give him seven times his money as a Christmas gift. when he combined,  his starting money and what his mom gives him, it added up to $1200. What was marc’s starting money (x)

What is the surface area of the cylinder with height 3 cm and radius 6 cm? Round your to the nearest thousandth.

Answers

Answer:

113.097

Step-by-step explanation:

so Basically to find the area of this cylinder have to set up to equation ((2)6pi)3

first you multiply 2 x 6 getting you 12 then multiply it by pi which in mathematical terms is 37.7 multiplied by 3, getting you 113.097

which can be simplified to 113

The surface area of the cylinder with height 3 cm and radius 6 cm is 340 cm².

What is surface area?

The surface area of a figure is the number of unit squares it takes to cover the entire surface without gaps or overlaps. If a three-dimensional figure has flat sides, the sides are called faces.

Given that, the cylinder with height 3 cm and radius 6 cm, we need to find its surface area,

SA of a cylinder = 2 π × radius × (height + radius)

= 2 × 3.14 × 6 × (3+6)

= 2 × 3.14 × 6 × 9

= 339.12

≈ 340

Hence, the surface area of the cylinder with height 3 cm and radius 6 cm is 340 cm².

Learn more about surface area, click;

https://brainly.com/question/29298005

#SPJ2


Convert -36° from degrees to radians

Answers

Answer:

-0.6283

Step-by-step explanation:

-36° × π/180 = -0.6283rad

aswer

Answer:

-36π/180 or -.6283

Step-by-step explanation:

To convert from degrees to radians you multiply it by π/180

So you have -36π/180 which gets you around -.6283

Jaclyn has $120 saved and earns $40 each month in allowance. Pedro has $180 saved and earns $20 a month in allowance.
If they both save their entire allowances, how long will it take before Jaclyn and Pedro have saved the same amount of money?
Enter your answer in the box.

Answers

Answer:

3 months

Step-by-step explanation: Let after m months they saved same amount of money.

Given,

Saving of Jaclyn = $ 120,

Amount earned by him/her per month = $ 40,

So, the total amount contained by him/her in m months = Saving + earning for m months

= 120 + 40m,

Similarly, saving of Pedro = $ 180,

Amount earned by him/her per month = $ 20,

So, the total amount contained by him/her in m months = 180 + 20m

Thus, we can write,

120 + 40m = 180 + 20m

40m = 180 + 20m - 120

40m - 20m = 60

20m = 60

⇒ m =  = 3.

Hence, it will take 3 months before which Jaclyn and Pedro have saved the same amount of money.

(PLEASE HELP I WILL GIVE BRAINLIEST) Mr. Kircher has a coupon for 30% off to purchase a KV sweatshirt. The sweatshirt was originally priced at $40.
What is the amount of the discount that Mr. Kircher will save?

Answers

Answer:

$12

Step-by-step explanation:

30% of 40 = 12

Answer:

its 28.00

Step-by-step explanation:

trust me

Given that f(x) = x2 + 10x + 21 and g(x) = x + 7, find (f•g)(x) and express
the result in standard form.

Answers

Answer:

[tex](f.g)x = {x}^{2} + 24x + 140[/tex]

Step-by-step explanation:

[tex]given \\ f(x) = x ^{2} + 10x + 21 \: and \: g(x) = x + 7[/tex]

[tex]as \: we \: know \: (f.g)x \: is \: same \: as[/tex]

[tex]f(g(x))[/tex]

[tex]so \: [/tex]

[tex]f(x + 7) = ( x + 7) ^{2} + 10(x + 7) + 21[/tex]

[tex]f(x + 7) = {x}^{2} + 14x + 49 + 10x + 70 + 21[/tex]

[tex]f(x + 7) = x^{2} + 24x + 140[/tex]

[tex]therefore [/tex]

[tex](f.g)x = {x}^{2} + 24x + 140[/tex]

Explain the purpose of statements and reasons in a formal proof.

Answers

Answer:

Find the explanation below.

Step-by-step explanation:

Statements simply state the theorem that is to be proofed. Formal proof in logical sequence connects the hypotheses to the conclusion reached.

Statements and reasons are important because they help to breakdown a theorem, showing in steps and stages how a conclusion was reached. They provide facts that convince the observer that the theorem is indeed true.    

Answer this question for me please

Answers

Answer:

-8

Step-by-step explanation:

Answer:

4th one is the right answer.

| x | -2 | 1 | 2 | 3 |

| y | -6 | 3| 6 | 9 |

Step-by-step explanation:

The x and y relationship is in the form y=kx and the graph starts from the origin.

Therefore the graph represents a proportional relationship which holds a equation y=x/3, where k=1/3.

Marcus was asked to find out what affects the strength of electromagnets. He was given a simple electromagnet made from a coil of wire and a power supply.

What variables could Marcus investigate?

Answers

Answer:

bncjk make sure bgfdf hi olb f see him be see vg hhzch

Which of the following does not represent a proportional relationship?

A. Nicole earns $5 per hour. How many hours must she work to earn $100?
B. Frances walks 2.2 miles every 30 minutes. If she continues to walk at this rate, how far can she walk in 4 hours?
C. Juanita has 7 ceramic frogs in her collection. In addition, she will receive 3 ceramic frogs for her birthday each year, how many ceramic frogs total will she have in 10 years?
D. The earth rotates on its axis every 24 hours. How many rotations will the earth complete in 15 days?

Answers

C because Juanita needs 7 ceramic frogs

PLEASEEEEEEEEEEEEEEEEEEEEEEE HELP ME!!!!

Answers

I’m pretty sure it’s 9/10 - 2/5. I’m sorry If it’s wrong

What value could you write in after 3x that would make the equation true for all values of x?
3x+12 = 3x+

Answers

Answer:

12

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

Identity property/ Associative Property

Find 22÷(−2) need help

Answers

Answer:

-11...................

Answer:

-11

Step-by-step explanation:

22/2=11

its negative so make it negative

There are 100 dekameters in 1 kilometer. How many dekameters are in 8.5 kilometers?

Answers

Answer:

850.

You just multiply the 8.5 by 100.

Answer:

850

Step-by-step explanation:

50 dkms(dekameters) in 0.5 km(kilometer)

8.5/0.5 =17

17*50 = 850

Which statements accurately describe how to determine the y-intercept and the slope from the graph below?
(ANSWERS ARE ALSO IN A PHOTO)

Answers

Answer:

C) The third option. To find the y intercept move vertically, to find the slope, y2-y1/x2-x1

Step-by-step explanation:

(-10x^2-1)+(-8x^2+8x-8) (−10x 2 −1)+(−8x 2 +8x−8)

Answers

Answer:

804−803+702−1

Step-by-step explanation:

Write the equation of the line in slope intercept form that passes through the point (-3, 5) and is parallel to y= - 2/3x

Answers

Answer:

The equation of the line in slope intercept form that passes through the point (-3, 5) and is parallel to y= - 2/3x is [tex]\mathbf{y=-\frac{2}{3}x+3 }[/tex]

Step-by-step explanation:

We need to Write the equation of the line in slope intercept form that passes through the point (-3, 5) and is parallel to y= - 2/3x

The general equation in slope-intercept form is: [tex]y=mx+b[/tex] where m is slope and b is y-intercept.

Finding Slope:

Both the equations given are parallel. So, they will be having same slope.

Slope of given equation y= - 2/3x is m = -2/3

This equation is in slope-intercept form, comparing with general equation  [tex]y=mx+b[/tex] where m is slope , we get the value of m= -2/3

So, slope of required line is: m = -2/3

Finding y-intercept:

Using slope m = -2/3 and point (-3,5) we can find y-intercept

[tex]y=mx+b\\5=-\frac{2}{3}(-3)+b\\5=2+b\\ b=5-2\\b=3[/tex]

So, we get b = 3

Now, the equation of required line having slope m = -2/3 and y-intercept b =3

[tex]y=mx+b\\y=-\frac{2}{3}x+3[/tex]

The equation of the line in slope intercept form that passes through the point (-3, 5) and is parallel to y= - 2/3x is [tex]\mathbf{y=-\frac{2}{3}x+3 }[/tex]

Answer:

[tex]\displaystyle y = -\frac{2}{3}x + 3[/tex]

Step-by-step explanation:

5 = –⅔[–3] + b

2

[tex]\displaystyle 3 = b \\ \\ y = -\frac{2}{3}x + 3[/tex]

Parallel equations have SIMILAR RATE OF CHANGES [SLOPES], so –⅔ remains as is.

I am joyous to assist you at any time.

Find the missing number.

Answers

Answer:

48

Step-by-step explanation:

Answer:  48

Step-by-step explanation:

Since 5 x 4 = 20 and you have to do the same with the numerator and denominator, 12 x 4 = 48

I need help quick I’ll give extra point to who ever answers

Answers

Answer:

1 = c

2 = b

3 = d

4 = d

5 = a

Step-by-step explanation:

1) 3x-4>17

2) 3x-4<17

3) 3x-4<=17

4) 3x-4<=17

5) 3x-4>=17

Answer:

Step-by-step explanation:

A right rectangular prism has edges of 8 feet, 4 feet, and 1/2 foot. How many cubes with side lengths of 1/2 foot would be needed to fill the prism?

Answers

Answer:

Step-by-step explanation:

From the question we are told that

Edges of 8 feet, 4 feet, and 1/2 foot

Generally the volume V_p of the right rectangular prism is mathematically represented as

[tex]V_p=8*4*0.5[/tex]

[tex]V_p=16[/tex]

Generally volume of the cube V_c is mathematically given as

[tex]V_c =(\frac{1}{2})^3[/tex]

[tex]V_c =\frac{1}{6}[/tex]

Therefore total number of cubes is given as

[tex]V=\frac{V_p}{V_c}[/tex]

[tex]V=\frac{16}{\frac{1}{6}}[/tex]

[tex]V=96[/tex]

Chance's family of 5 has 3 2/5 pizzas left over that they want to eat for dinner tonight. If they share the pizza equally, how much does each family member get?​

Answers

Answer: 17/25 pizza per each family member.

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