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4 years ago

A car was originally purchased in January 2010 for 27000 dollars. The car depreciates at a rate of 18% every year.

Mathematics

1 answer:

Maksim231197 [3]4 years ago

5 0

Answer:

Number of year(n) = 3.4 year (Approx)

Step-by-step explanation:

Given:

Purchase value of car = $27,000

Depreciation rate per year (d) = 18% = 0.18

Future price = half of its original value = $27,000 / 2 = $13,500

Find:

Number of year(n) = ?

Computation:

$Future price =Purchase value(1-d)^n\\\\13,500=27,000(1-0.18)^n\\\\0.5=(0.82)^n\\\\n=3.444(Approx)$

Number of year(n) = 3.4 year (Approx)

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Compound interest question :

SpyIntel [72]

The formula is
A=p (1+r)^t
A future value 8000
P present value?
R interest rate 0.05
T time 3years
Solve the formula for p
P=A÷(1+r)^t
P=8,000÷(1+0.05)^(3)
P=6,910.70

Hope it helps!

8 0

3 years ago

The area of a rectangle is <img src="https://tex.z-dn.net/?f=14ft%5E2" id="TexFormula1" title="14ft^2" alt="14ft^2" align="absmi

svetlana [45]

Answer:

So, Width = 7/2 or 3.5

Length = 4

Step-by-step explanation:

Area of rectangle = 14 ft^2

Let width of rectangle 2 = x

and Length of rectangle = 2x-3

Formula used for area of rectangle

Area = Length * Width

14 = (2x - 3) x

14 = 2x^2 - 3x

=> 2x^2 -3x -14 = 0

Solving the quadratic equation using factorization

-28 x^2 = -7x * -4x

2x^2 -7x + 4x -14 = 0

x (2x -7) +2(2x-7) = 0

(x+2) (2x-7) =0

=> x + 2 =0 and 2x -7 = 0

x = -2 and x = 7/2

Since width cannot be negative so, x= 7/2

Width= x = 7/2

Length = 2x -3 => 2(7/2) - 3

=> 7 -3

=> 4

So, Width = 7/2 or 3.5

Length = 4.

7 0

4 years ago

Read 2 more answers

Which equation represents a, the amount students will be charged to rent n books?

s2008m [1.1K]

The answer would be H. You can immediately eliminate F and J because they do not include the $10 fee and $39 is the amount charged for one book.

6 0

3 years ago

Is 2/5 equal to 0.4 please help me

igor_vitrenko [27]

1/5 is 2% or 0.2, therefor 2/5 is 4% or 0.4

8 0

3 years ago

Help please!!!!!!!!!!!!!!!!!!

NemiM [27]

Note: As you missed to mention the coordinate graph. After a little research I was able to find the graph and based on that graph I am answering your questions, which anyways would help you clear your concepts.

Question # 4

To Determine:

Part a) What are the coordinates (x, y) of a point halfway from City Hall to the hospital?

Part b) Is there more than one possibility?

Explanation:

Part a)

As the the location of coordinates of City Hall is (0, 0).
The hospital has the location at the point (-6, -4)

If we analyze the graph carefully, we observe that there is 10 blocks distance between City Hall to the Hospital. And when you travel by taxi, and cover the 5 blocks, it means you would have covered the halfway distance between City Hall to the hospital.

So, one of the coordinate (x, y) of a point halfway from City Hall to the hospital is (-1, -4). It could have also been (-4, -1). As both coordinates are indicating the half way distance from City Hall to the hospital, depending upon which route a car driver chooses.

Part b)

Yes, there is more than one possibility that there could be multiple coordinates (x, y) of a point halfway from City Hall to the hospital, as it entirely depends upon which route the taxi driver chooses to travel. For example, there is a total 10 block distance from City Hall to the hospital, and if a taxi covers 5 blocks, it means it has covered the halfway distance.

And to cover 5 block distance, there are multiple routes available a taxi driver can choose to travel. In short, the location of the coordinates of a point halfway from City Hall to the hospital is a function of the preference of the route chosen by taxi driver.

So, the points (-1, -4) and (-4, -1) are both the coordinates of a halfway from City Hall to the hospital.

 Question # 5

To Determine:

Part a) Suppose you traveled by helicopter. What are the coordinates of a point halfway from City Hall to the hospital? How can a helicopter travel differently?

Part b) Is there more than one possibility?

Explanation:

Part a)

When we are travelling by helicopter, we may have the flexibility of choosing the shortest possible distance as a car driver may not get this flexibility due to certain reasons like terrain, or a road blockage etc.

So, the coordinates of the point of shortest possible halfway distance from City Hall to the hospital is (-3, -2).

Part b)

Please remember, if we are travelling by helicopter and the Pilot chooses a shortest possible route, then there is only one way for the shortest possible route as there is only one halfway point.

Keywords: distance, shortest distance, coordinate, halfway distance

Learn more about distance from brainly.com/question/11592733

#learnwithBrainly

4 0

3 years ago