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].

To know more about the simplification

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Related Questions

Directions: Find the slope of the lines graphed below.
1.
2.

Answers

we know,

slope = y_2 - y_1/x_2 - x_1

1.

according to the graph given points are,

(2,1) and (0,3)

now,

3 - 1/0 - 2

2/-2

-1

therefore, slope of the given graph is -1.

2.

according to the graph given points are,

(-6,2) and (0,1)

now,

1 - (-6)/0-2

7/-2

-3.5

therefore, slope of the given graph is -3.5 OR in fraction form it is 7/-2.

3.

according to the graph given points are,

(2,2) and (0,4)

now,

4 - 2/0-2

2/-2

-1

therefore, slope of the given graph is -1.

hope this answer helps you dear...take care and may u have a great day ahead!

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Answer:

b

Step-by-step explanation:

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Answers

Answer:

8

Step-by-step explanation:

PEMDAS, Parentheses, Exponents, Multiply, Divide, Add, Subtract

First, I multiply, not because it comes first in pemdas, but because you go left to right. So 2x9=18 and then you divide, 18/6=3 and then you add, 3+5=8. If you have any question I will be here!

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Answers

Answer:

(n + 6) / -4 = 10

n + 6 = 10 × -4

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n = -40 - 6

n = -46

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n - 2 = -6 × -3

n - 2 = 18

n = 18 + 2

n = 20

Step-by-step explanation:

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Suppose you took out a $120,000 loan to go to med school. Your loan has a 6.9% APR to be paid in 30 years. You make monthly payments of $790.32 – to date, you have made 180 payments. What is the total amount you have left to pay if you simply make payments for the next 180 months?​

Answers

The total amount left to pay is $ 745,945.74.

Supposing you took out a $ 120,000 loan to go to med school. Your loan has a 6.9% APR to be paid in 30 years, and you make monthly payments of $ 790.32, and to date, you have made 180 payments, to determine what is the total amount you have left to pay if you simply make payments for the next 180 months the following calculation must be performed:

(120,000 x 1,069 ^ 30) - (790.32 x 180) = X (120,000 x 7.40) - 142,257.6 = X 888,203.34 - 142,257.6 = X 745,945.74 = X

Therefore, the total amount left to pay is $ 745,945.74.

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

f(0) = (0²+10·0+72)/(0²-12·0 + 36)   Substitute 0 for x and solve.

      = 72/36

       = 2

f(5) = (5²+10·5+72)/(5²-12·5 + 36)      Substitute 5 for x and solve.

     = (25 + 50 + 72)/(25 - 60 +36)

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Answers

Answer:

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y= 15/-3

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y int = (0,-5)

18x-3(0)=15

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Answer:

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Answers

Answer:

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Answers

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Answers

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Step-by-step explanation:

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Answers

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