A new car sells for $27,300. It exponentially depreciates at a rate of 6.1% to $22,100. How long did it take for the car to depreciate to this amount? Round your answer to the nearest tenth of a year. fill in the blank 1

Answers

Answer 1

Answer:

3

Step-by-step explanation:

27300 * (1-6.1%)^n = 22100,

n∈(3,4)

when n = 3,≈22603;

when n = 4,≈21224;

so choose n = 3.

Answer 2

Therefore, it takes  car to depreciate to this amount is [tex]3[/tex].

What is the simplification?

Simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easy with calculations and solving.

Here given that,

A new car sells for $[tex]27,300[/tex]. It exponentially depreciates at a rate of [tex]6.1[/tex]% to $[tex]22,100[/tex].

So, the equation is

[tex]27300(1-6.1)^n=22100\\\\[/tex]

when [tex]n[/tex] belongs to [tex](3,4)[/tex]

when [tex]n=3\\[/tex]

The equation would be

[tex]27300(1-6.1)^3=22100\\\\=22603[/tex]

When

[tex]n=4\\27300(1-6.1)^4=22100\\=21224[/tex]

So, the time it takes to depricate to the given amount is [tex]22603[/tex] when [tex]n=3[/tex].

Hence, it takes  car to depreciate to this amount is [tex]3[/tex].

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Related Questions

−1−(−5x)−2x+2x 2 +7
Simplify this expression as much as possible

Answers

Answer:

Hello, the simplified expression would be:

7x + 6

I need help in learning how to solve this equation using substitution:

-x -y -z = -8
-4x + 4y + 5z = 7
2x + 2z = 4

Answers

Answer:

x=3, z=-1, y=6

Step-by-step explanation:

you need to make the coefficients of each variable equal to each other then subtract 2 equations.

this one: multiply -4 in 1st

4x+4y+4z=32

-4x+4y+5z=7

_____________

8x+0-z=25

we have 2 equations with 2 variables now

2x+2z=4

8x-z=25

What is 80% of _____ is 60

Answers

Answer:

75

Step-by-step explanation:

First, we know that 60 is 80 percent of something.

So, on that knowledge, we can setup this equation:

X × 0.80 = 60

Then, we multiply both sides by 0.80 , we then get 75.

We can check with 75 × 0.80 does equal to 60!

If this answer helped, consider marking this as brainliest!

Cheers!

2. In our country today, what do you think are the possible application of pattern and sequence in the field of engineering? How?​

Answers

Engineering has many applications in our country focused on the construction and development of new technological devices.

Engineering is a term that refers to the set of scientific principles necessary to design and build machines, structures, and others such as:

BridgesTunnelsRoadsVehiclesBuildingsSystemsProcesses.

Engineering is characterized by:

Innovation and invention.Development and improvement of techniques and instruments.

According to the above, engineering has many applications in the country such as:

Construction of new and more technological buildingsManufacture of tools and devices for different applications such as education, medicine, construction, among others.

Learn more in: https://brainly.com/question/18564178

Jonathan made $546 last
month selling newspapers.
This month he made $874.
He then got an extra $200
because he sold the most
papers. How much money
did he make in all?

Answers

Answer:

1620

Step-by-step explanation:

Answer:

$1620

Step-by-step explanation:

Earning in last month: $546

Earning in this month: $874

Extra earning: $200

Total earning = 546 + 874 + 200 = 1620

Top Kwartalan In Indonesian ☺

[tex] {5}^{5} = [/tex]

Answers

Answer:

3125

Step-by-step explanation:

5*5*5*5*5

What is the missing measure?

Answers

Answer:

Step-by-step explanation:

This is a problem of ratios:

Set the problem up with matching similar side lengths equal:

50/10 = x/12

First simplify the left side:

50/10 = 5

Next, multiply both sides by 12.

We are left with:

x = 12(5)

x = 60

And this is not the only question I got to get five right so if you get the question right wait until I make another question please and thank you

Answers

9514 1404 393

Answer:

  A rotation 90° CW followed by translation right 5 units.

Step-by-step explanation:

It is easier to choose the right composition of transformations if we know what your choices are.

Figure F has an orientation that is 90° CW from that of figure E, so a 90° CW or 270° CCW rotation could be one of the transformations.

Rotation about the origin will move the figure so that the acute angle is in a different quadrant. In order to return it to the same quadrant a translation is required. The amount of translation will depend on whether it comes before or after the rotation.

Possible sequence of motions are ...

A rotation 90° CW followed by translation right 5 unitsTranslation up 5 units followed by rotation 90° CW

4% of 50
Percent of a quantity
M

Answers

Answer:

4% of 50 is 2

Step-by-step explanation:

Can somebody help me with number 5 and number 8

Answers

Answer:

8.b. 5.d

Step-by-step explanation:

I think. because of space is not to famielier on me and between of point i think

A math book at Housatonic Community College cost the bookstore $84 to purchase. They sell it for $126. What percent markup did the bookstore charge?

Answers

The markup is 150%

126/84= 1.5
1.5 x 100 = 150%

Proof : 1.5 x 84 =126


How much of the circle is shaded? Write your answer as a fraction in simplest form.

Answers

Answer:

5/28

Step-by-step explanation:

[tex] \frac{1}{4} + \frac{4}{7} = \frac{7 + 16}{28} = \frac{23}{28} \\ 1 - \frac{23}{28} = \frac{5}{28} [/tex]

In the month of September, all of the Kroger grocery stores in Nashville sold 429,382 eggs. In that same month, all of the Kroger grocery stores in Memphis sold 283,054 eggs. How many eggs did the Nashville and Memphis Kroger grocery stores sell all together in the month of September? Use 2 strategies to show how you found out how many eggs Kroger sold in September.

Answers

Answer:

712436 eggs were sold together

Step-by-step explanation:

429,382 + 283,054 = 712436

) Chứng minh rằng giá trị của biểu thức ((x-2√x)÷(√x-2) ) - ((x-4)÷√x+2)) không phụ thuộc vào giá trị của biến.

Answers

...........chúc bạn thành công ✊

Find the equation of the linear function represented by the table

Y 2 7 12 17
x 1 2 3 4

Answers

Answer:

Step-by-step explanation:

(1, 2) (2, 7)

(7-2)/(2 - 1) = 5/1= 5

y - 2 = 5(x - 1)

y - 2 = 5x - 5

y = 5x - 3

A large pool has a faucet to allow water to enter the pool and a drain to allow water to leave the pool.

Each minute, the faucet allows 1215 gallons of water to enter the pool, and the drain allows 1523 gallons to leave the pool.

What is the change in the amount of water in the pool after 112 minutes?


Enter your answer as a simplified mixed number by filling in the boxes. FRACTION PROBLEM

Answers

Answer:

-34496 gallons = 34496 gallons less

Step-by-step explanation:

In 112 minutes, 1215(112) = 136080 gallons of water is added by the faucet

In 112 minutes, 1523(112) = 170576 gallons of water are drained from the pool.

So, assuming that the pool is not completely drained in the 112 minute time interval, the change in the amount of water = 136080 - 170576 = -34496 gallons; i.e., the amount of water in the pool is 34496 gallons less.

Solve for X


Marking anybody who got it right the brainliest​

Answers

Answer:

198°

Step-by-step explanation:

We see angles P and R marked to be same with P having the angle measure indicated.

We assume the Q is the right angle, otherwise the given info is not enough to find the answer.

Added segments parallel to PQ and QR. See the picture.

The angle x is partitioned as:

Right angle and two complementary angles, one with P and one with R.

Then its measure is:

90° + 2(90° - 36°) = 198°

PLEASE ANSWER FAST!!!

Answers

The second option

B is just being negatively squared two more times

What is the length of ef in the right triangle below?

Answers

Answer:

24

Step-by-step explanation:

You're given a side and a hypotenuse in a right triangle, so you're able to use the Pythagorean Theorem.

[tex]a^{2} + b^{2} = c^{2}\\\\a^{2} + (7)^{2} = (25)^{2}\\[/tex]

Now isolate a on one side and solve for a.

[tex]\\a^{2} = (25)^{2} - (7)^{2}\\\\a = \sqrt{(25)^{2} - (7)^{2}} \\\\a = 24[/tex]

True or false
Quotient x Remainder + Dividend - Divisor​

Answers

ANSWER: false

EXPLANATION: s not true that Dividend over Divisor is equal to Quotient plus Remainder. For example if 37 is divided by 8 , then quotient is 4 and remainder is 5 .

We know that February has either 28 or 29 days, but there is a year in the future, February will have 30 days
What exactly is this year?

Answers

Answer:

The year 2020 is a leap year, which means February will have 29 days rather than 28, and the overall number of days will be 366 rather than 365. This was also the case in 2016, and the year 2024 will be a leap year once more.

Step-by-step explanation:

Pls help ASAP I don’t get it

Answers

Look at the picture attached down here. You can see the Venn Diagram fully completed. As you can see the brown part is the empty loop. And this is because the list of numbers given do not share 4 and 9 (6 excluded) as common multiples.

The numbers outside the circles are numbers that are not multiples of 4 or 9 or 6. It's 371 and 79. By the way, 79 is a prime number, so it's only divisors are itself and 1. 371 is not a prime number, it is divisible by 1, 7, 53, 371.

Good luck

1. The miles traveled in 5 hours at a rate of 189 miles in 3 hours?

Special gift if you answer it right!

Answers

Answer:

312 miles were traveled in 5 hours

Step-by-step explanation:

9
A car mechanic charges an initial fee to inspect a car plus an hourly rate to repair the car if no new parts
are needed. The total charges for the inspection and repair of cars with no new parts needed are shown in
the table below
The Mechanic's Bill
Number of
Total
Hours
Worked
Charges
$25
$60
2
$95
$130
4
$165
Which equation best represents the linear relationships between y, the total charges in dollars, and x, the
number of hours the mechanic worked?
0
1
3
A y = x + 35
B y = x + 60
cy - 35x + 25
Dy = 35x +60

Answers

Answer:

C) is correct answer

Step-by-step explanation:

In pic

(Hope this helps can I pls have brainlist (crown)☺️)

The equation y = 35x +25 represents the linear relationship between y, the total charges in dollars, and x, the number of hours the mechanic worked.

What is the equation?

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

The given table shows the relationship between the total charges and the number of hours worked by the mechanic.

Number of hours worked, x Total charges, y

1               60

2               95

3               130

4               165

Let the equation for this relationship:

y = mx + c  ....(i)

From the table, we can see that the mechanic charges an initial fee of $60, and then an additional $35 for each hour worked.

Here, m = {(95-60)/(2-1)} = 25

60 = 25(1) + c

c = 60 - 25 = 35

So, the equation is y = 25x + 35

Therefore, the equation y = 35x +25 represents the linear relationship.

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Which of the following is true when constructing a line graph?


Each axis has even spacing.
Each point represents a data pair.
The vertical axis shows increments of time.
The scale starts at the minimum value and goes to the maximum value. please help fast!!!!

Answers

Answer:

B

Step-by-step explanation:

Answer:
Each axis has even spacing.

Each point represents a data pair.

I took the test

Construct a polynomial function with the stated properties. Reduce all fractions to lowest terms.


Second-degree, with zeros of −4 and 6, and goes to −∞ as x→−∞.


p(x) =

Answers

9514 1404 393

Answer:

  p(x) = -x^2 +2x +24

Step-by-step explanation:

When the polynomial has a zero at x=q, it has a factor of (x -q). The zeros of -4 and 6 tell you the factors are (x -(-4)) and (x -6). The end behavior tells you the leading coefficient is negative.

  p(x) = -(x +4)(x -6)

  p(x) = -x^2 +2x +24

Someone please help me with this.

Answers

Answer:

Step-by-step explanation:

I know this is rather sneaky, but on a multiple choice question on a quiz, you need all the help you can get.  I'm not saying this is a quiz, by the way. It doesn't say that it is anywhere.

Look carefully at the first three statements. Is there an angle mentioned at all? There isn't, is there? That being the case (and since nothing is marked as a right angle), the only possible answer is SSS which D.

Answer:

D

Step-by-step explanation:

There are not any angles shown, and the triangle is not a right triangle, so it is SSS

What is the slope of the line that passes through the points (4, 10)(4,10) and (1, 10) ?(1,10)? Write your answer in simplest form.

Answers

Answer:

0

Step-by-step explanation:

Slope = Δy/Δx

Slope = 10-10/4-1

Slope = 0/3

Slope = 0

It is a Horizontal Line

-Chetan K

Helppppppppppppp please

Answers

Answer:

1.45 x 10^2

Step-by-step explanation:

In scientific notation, you get the number down to 1 digit before the decimal place and all the rest after it, then multiply by 10 raised to a power in order to get it back to the original. An easy way to do it is to count the number of times you moved the decimal and remember which direction you did it. The number is the power (in this case 2) and the direction tells you if it's positive or negative (in this case it was to the left, so it's positive two.)

In simpler terms, slide the decimal to the right two places and make it 1.45, then multiply it by 10^2 (which is 100) to make it equal to 145. This leaves you with 1.45 x 10^2.

Answer: 1.45 x 10^2


when making a whole number a decimal, the decimal is at the end of the number so you move it to make it have just one whole number. Then the times you moved the decimal forward is how many exponents you write in top
(Might sound confusing)

can someone plz help me with this!!!

Answers

2 is the correct answer of this question

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