A new car sells for $27,500. The value of the car decreases by 14% annually. You want to sell the car when it's worth about $4000. Explain how many years you will keep the car, when you will sell it, and how you determined your answer.

Answers

Answer 1

Answer:

The formula would be:

27500 x (1 - 14/100)^year = 4000

=> (86/100)^year = 4000/27500

=> 0.86^year = 0.145

=> year = log(0.145)/log(0.86) = 12.8

Hope this helps!

:)

Answer 2

Answer:

13 years

Step-by-step explanation:

4000 = 27500 × (1 - 14/100)^t

4000 = 27500 × 0.86^t

0.86^t = 8/55

t ln(0.86) = ln(8/55)

t = 12.78248711


Related Questions

round 374,839 to the nearest thousandth

Answers

Is this question correct? is it thousand or thousandth? and does the comma signify a decimal point?

Answer:

374,839.00

Step-by-step explanation:

Rounded to the nearest 0.01 or

the Hundredths Place.

Answer: 374,839.00

Hope this helps.

PLS HELPPP WILL AWARD BRAINLIEST!

Answers

Answer: Red is 0.18 And Blue is 0.68

Step-by-step explanation:

Look at sizes and comparisons between the sizes and all together should add to 1

Answer:

blue = 0.32

because:

0.5-0.18 = 0.32

red = 0.18

because :

0.5-0.20-0.12= 0.18

Having a hard time finding the area

Answers

Answer:

For the triangle, the area is 7.5 in.

For the trapezoid, the area should be 90 cm

Step-by-step explanation:

The formula for a triangle is A=1/2bh and for a trapezoid it is (a+b)/2×h

The sum of two numbers is 60 and the difference is 16 . What are the numbers?
Larger number: ?

Smaller number: ?

Answers

Answer:

the bigger number is 38

the smaller number is 22

(PLEASE HELP DUE NOW! I DON'T UNDERSTAND!)
Just answer no need to show work! DON'T ANSWER IF YOU DON'T KNOW!

21, 23, 26, 26, 28, 29, 34, 34, 40
BOX AND WHISKER PLOT
Q1:
Q3:

Answers

Answer:

Q3 = 34

Q1 = 24.5

Step-by-step explanation:

Q1  is the middle value in the first half of the data set.

Q3  is the middle value in the second half of the data set.

put the numbers in order

find the median

what is the surface area of a rectangle in inches that has a width of 17m height 52cm
length 100inch

Answers

Answer: 15568

Step-by-step explanation:

SA: A= 2wl +2lh +2hw

2(17)(100) + 2(100)(52) + 2(52)(17)

3400 + 10400 + 1768

15568

I’m not sure if this is right..... but I hope it helps you :)

g(x)=−x^2/4+7 What is the average rate of change of g over the interval [-2,4]?

Answers

Answer:

g=12

Step-by-step explanation:

(4 x (-4) ) ÷ ( 2 - (-10) + 9 + (-5) )

Please show work!

Answers

Answer:

[tex]1[/tex]

Step-by-step explanation:

[tex](4 \times - 4) \div (2 - ( - 10) + 9 + ( - 5)) \\ - 16 \div (2 + 10 + 9 - 5) \\1 6 \div (12 + 4) \\ 16 \div (16) \\ = 1[/tex]

Answer:

the answer is attached to the picture

8. A bag of Skittles candy contains 8 red, 12 blue, 4 green, and 6 orange. What is
the probability of randomly choosing a green candy, replacing that candy and
choosing another green candy? *

Answers

Answer:

it is a 26:4 probability if you simplify it it would be 6.5:1

Step-by-step explanation:

The probability of randomly choosing a green candy, replacing that candy and  choosing another green candy is 1/75 and this can be determined by using the given data.

Given :

A bag of Skittles candy contains 8 red, 12 blue, 4 green, and 6 orange.

The following steps can be used in order to determine the probability of randomly choosing a green candy, replacing that candy and  choosing another green candy:

Step 1 - First, determine the total number of candies in the bag.

[tex]\rm Total\; Candy = 8 + 12 + 4 +6[/tex]

[tex]\rm Total\; Candy = 30[/tex]

Step 2 - The total number of green candies in the bag is 4.

Step 3 - So, the probability of randomly choosing a green candy, replacing that candy and  choosing another green candy is:

[tex]P = \dfrac{4}{30}\times \dfrac{3}{30}[/tex]

Step 4 - Simplify the above expression.

[tex]P = \dfrac{12}{900}[/tex]

[tex]p=\dfrac{1}{75}[/tex]

The probability of randomly choosing a green candy, replacing that candy and  choosing another green candy is 1/75.

For more information, refer to the link given below:

https://brainly.com/question/795909

2 tables. Table 1 is titled Population data with entries 2, 4, 8, 5, 1, 1, 10, 5, 4, 2, 3, 3. Table 2 is titled Sample data with entries 4, 1, 5, 3.

Compare the mean of the population with the mean of a sample.


The mean of the population is



.


The mean of the sample is

.


The difference between the mean of the sample and the mean of the population is

.

Answers

Answer:

4

3.25

.75

Step-by-step explanation:

I got it right on the test

Answer:

1. 4(c)

2. 3.25(A)

3. 0.75(c)

Step-by-step explanation:

your welcome

The best answer will be marked brainliest!!!!!!!!!!!!!!!

Answers

Answer:

c and d

Step-by-step explanation:

Answer:

11 and 23

Step-by-step explanation:

If she uses a scale factor that is greater than one, then we know that the answer has to be greater than 10 units, since the triangle is going to be larger.

The only two answers here that are greater than 10 are:

11 and 23

So answer is 11 and 23

I need the answer please will give brainlyest

Answers

Answer:

C

Step-by-step explanation:

Answer: A 50 and 80

Step-by-step explanation:

Angle 3 + 40` + 60° = 180°

Angle 1 = 60° = opposite angles

Angle 2 + 70° + 60° = 180°

// HURRY AND ANSWER. I WILL GIVE BRAINLIEST // PRETTY DIFFICULT.
The point (a, b) is the top of a rectangle. After a transformation, it maps to the point (-a, b+3), what type of transformations happened?

a.) reflection over the line y= -1 and translated 3 units left

b.) reflection over the y = 1 and translated 3 units right

c.) reflection over the x-axis and translated 3 units down

d.) reflection over the y-axis and translated 3 units up

Answers

Answer:

d) reflection over the y-axis and translated 3 units up

Step-by-step explanation:

The reflection of the point  across the y-axis (x,y)→ (-x,y)

b changed to b+3 so 3 units up

The type of transformation that happened to the rectangle is a reflection over the y-axis and translated 3 units up. Thus, the correct option is D.

What is transformation?

The transformation can be defined as the introduction of a new set of mathematical coordinates that are declared to be different functions of the original coordinates.

Given that point (a,b) is the top of a rectangle. And after the transformation, the point of the rectangle is (-a, b+3). Therefore,

(a,b) → Reflected over y-axis → (-a,b)(-a,b) → Translated 3 unit up → (-a, b+3)

Hence, the type of transformation that happened to the rectangle is a reflection over the y-axis and translated 3 units up. Thus, the correct option is D.

Learn more about Transformation:

https://brainly.com/question/11709244

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Carly and Simon are renting formal clothes for a wedding.

They found a rental company that charges a fixed fee of $80 plus an additional fee of $60 per hour.

If this information was put into an equation, which amount would represent the y-intercept?
A.
$80

B.
$60

C.
$140

D.
$4,800

Answers

Answer:

I think its either B, or C

Step-by-step explanation:

because in a equation your looking for the y intercept and the y intercept is usually the number without x by it.

The equation associated with the total cost is y = 60x + 80 and the y-intercept of it will be $80 thus option (A) is correct.

What is a linear function?

A straight line on the coordinate plane is represented by a linear function.

The formula for a linear function is f(x) = ax + b, where a and b are real values.

In another word, a linear function is a function that varies linearly with respect to the changing variable.

As per the given,

They found a rental company that charges a fixed fee of $80 plus an additional fee of $60 per hour.

Total cost = 80 × number of hours + fixed cost

y = 86x + 80

y-intercept , x = 0

y = 60(0) + 80

y = 80

Hence"The equation associated with the total cost is y = 60x + 80 and the y-intercept of it will be $80".

For more about the linear function,

brainly.com/question/21107621

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The angle measurements in the diagram are represented by the following expressions.
ZA = 5x+ 20
B = 9x-92
Solve for and then find the measure of A

Answers

Answer:110

Step-by-step explanation:

Help ! Please !!!!!!!!!!!!!!

Answers

Answer:

12a^6b^3 you multiply 4 and 3 to get 12,then you factor out the algebra with the common terms.

help plzzzzz ill give you 13 points

Answers

Answer:

100 miles

Step-by-step explanation:

Using the red line

Go on the x axis to the 5

Then go straight up til you meet the red line

Go to the left and read the y axis

100 miles

Answer:

B) 100

Step-by-step explanation:

Just follow the line. x = 5 so y = 100

A trick a teach of mine once told me was to imagine the grid as an airplane taking off. It has to start from the x and go up to the y so it can fly. If it started from the y and then went down to the x, it would crash.

Hope this helps!!

Can someone help me, can you give me the answer and explanation.

Answers

Answer:

B

Step-by-step explanation:

you add 3 plus 2 which gives you 5

then it said one red marble which is 2/5 then it said another one which is 1/4

2/5 times 1/4 equals 1/10

b




i think ;)





stay safe

Square root of 10 times square root of 10

Answers

10

This is because the square root of 10 times the square root of 10 is the same as the square root of 10 squared which cancels out the square root, therefore the answer is 10.

The value of the given expression is 10.

What is the square root?

The square root of a number is the inverse operation of squaring a number. The square of a number is the value that is obtained when we multiply the number by itself, while the square root of a number is obtained by finding a number that when squared gives the original number.

Given that, expression is √10×√10.

= (√10)²

= 10

Therefore, the value of the given expression is 10.

To learn more about the square root of a number visit:

https://brainly.com/question/8971086.

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Determine if the lines are parallel, perpendicular, or neither. State how you determined this from the
equations.

8+2y=x
6x=-21-3y​

Answers

Answer:

perpendicular

Step-by-step explanation:

will explain if you need me too, just didn’t want you to wait too long while i typed it all out

The manager of a take-out pizza store needs to hire pizza makers and cashiers for the evening shift. The total number of employees of both kinds can be at most 16 and the ratio of cashiers to pizza makers must be at least 3 to 5. Also, each pizza maker can answer 12 phone calls per hour and each cashier can answer 4 calls per hour while the pizza shop must be able to handle at least 72 calls during peak hours.
(a) Create and graph a system of linear inequalities to model this problem
(b) Identify the solution region
(c) If each pizza maker gets $10 per hour and each cashier gets $6 hour, how many
pizza makers and how many cashiers should the manager hire in order to minimize
her cost?

Answers

Answer:

a) x + y ≤ 16

y/x ≥ 3/5

12*x + 4*y ≥ 72

b) see picture attached

c) 5 pizza makers and 3 cashiers should be hired.

Step-by-step explanation:

a) Let's define:

x: amount of pizza maker

y: amount of cashier

From conditions in the question:

x + y ≤ 16

y/x ≥ 3/5

12*x + 4*y ≥ 72

b) In the picture attached, the feasible region (also called solution region) is shown.

c) We want to minimize:

10*x + 6*y

subject to the previous restrictions.

It is known that the optimum solution is on the vertex of the feasible region (it is a linear system). Evaluating cost function at each point, we get:

10*1 + 6*15 = 100

10*5 + 6*3 = 68

10*10 + 6*6 = 136

Then, 5 pizza makers and 3 cashiers should be hired.

el resultado de restar un numero de veintitres

tema: lenguaje comun a lenguaje algebraico

Answers

Answer:

la respuesta de cualquier problema de resta es la diferencia

Step-by-step explanation:

no importa cuál sea el problema de la resta, la respuesta siempre se llamará la diferencia

Which set of numbers can represent the side lengths, in centimeters, of a right triangle?
8, 12, 15
10, 24, 26
12. 20.25
15, 18, 20

Answers

Answer:

the Answer is B.

Step-by-step explanation:

Pythagorean theorem (applicable on right triangles only) says:

Where   and   are the two legs of the triangle and  is the length of the hypotenuse [THE LONGEST SIDE].

We can square each leg on the triangle and take the sum, if that is equal to the square of the longest side, we have a right triangle. Let's check for all of these.

A.

They're not right triangle.

B.

This is a right triangle.

C.

They're not right triangle.

D.

They're not right triangle.

Only B is the right triangle

5(2-x)=7x-26
Help please

Answers

Answer:

  x = 3

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    5*(2-x)-(7*x-26)=0

Can i pwease have brainliest

12. A and B are supplementary. If m A = (6x + 15) and m B = 11 + x®, find
m.A. (Type the number only.) *

Answers

So the right answer is 147.

Look at the attached picture

Hope it will help you

Good luck on your assignment

anyone help me out please?

Answers

Answer:

? ≈ 52.3°

Step-by-step explanation:

Using the sine ratio in the right triangle

sin ? = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{19}{24}[/tex] , thus

? = [tex]sin^{-1}[/tex] ([tex]\frac{19}{24}[/tex] ) ≈ 52.3° ( to the nearest tenth )

Answer:

≈ 52.3

Step-by-step explanation:

You are given the opposite and hypotenuse side, leading you to use sin. However, since you're trying to find the angle measurement, you use the inverse of sin: [tex]sin^-1[/tex]

Set it up like this:

[tex]sin^-1(\frac{19}{24}) = ?[/tex]

When you solve, you get:

52.34

Round to the nearest tenth:

52.3

Can somebody answer this worksheet pls.

Answers

Answer:

what worksheet

Step-by-step explanation:

^Answer needed ASAP!
Solve x2-6x=-5 by completing the square. show ALL work

Answers

Have a nice day, be safe and healthy :)

Hope this helped

formula:

(a+b)^2

= a^2+2ab+b^2

Here, we have x^2  (as in a^2)

and -6x (as in 2ab), which, we're missing the b^2

(I'm not really sure how to describe this but bare with me)

-6/2 (-6 is from the -6x) = -3 (the b)

-3^2 = -3*-3 which is equal to 9 (positive 9)

Writing it out -

x^2-6x+9 = -5

- Addition of inequality -

Since we add 9 to the left side, we have to add 9 to the right side; which gives us:

x^2-6x+9=4

Next, lets put the x^2-6x+9 as in (a+b)^2:

(x-3)^2 = 4

Then let's do the square root of equality (square rooting both sides) :

x-3 = 2

Finally lets add 3 to both sides

x = 5

THE ANSWER IS x=5

Have a nice day, be safe + healthy - Hope this helped

What is the solution to 4x+6<_18

Answers

The answer for this is x<_3

A cone is 6 cm in height and its vertical angle is 54° calculate the radius of its base.


Please Help It's due soon.

Answers

Answer:

7cm

Step-by-step explanation:

The radius of the base of the cone is 4.27 cm.

The vertical angle of a cone is also known as the apex angle. The apex angle of a cone is the angle at the top of the cone, where the slant height and the two radii meet.

The formula for calculating the radius of a cone is:

tan(apex angle) = height / radius

In this case, the apex angle is 54°, the height is 6 cm, and we need to find the radius.

tan(54°) = 6 cm / radius

radius = 6 cm / tan(54°)

radius = 4.27 cm

Therefore, the radius of the base of the cone is 4.27 cm.

Learn more about radius here: brainly.com/question/12923242

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