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Nimfa-mama [501]
2 years ago
6

A new car is purchased for 21,800 dollars. The value of the car depreciates at a rate of 9.5% per year. Which equation represent

s the value of the car after 5 years?
ur m
Mathematics
1 answer:
labwork [276]2 years ago
4 0

Using an exponential function, it is found that the equation that represents the value of the car after 5 years is:

A(5) = 21800(0.905)^5 = 13234.25

<h3>What is an exponential function?</h3>

A decaying exponential function is modeled by:

A(t) = A(0)(1 - r)^t

In which:

  • A(0) is the initial value.
  • r is the decay rate, as a decimal.

In this problem, the car is purchased for 21,800 dollars, and it's value deprecites 9.5% per year, hence the equation for it's value after t years is given by:

A(t) = A(0)(1 - r)^t

A(t) = 21800(1 - 0.095)^t

A(t) = 21800(0.905)^t

After 5 years, the value is given by:

A(5) = 21800(0.905)^5 = 13234.25

More can be learned about exponential functions at brainly.com/question/25537936

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ycow [4]

Step-by-step explanation:

Rate of change = final - initial / time(in years)

= 41 - 43 / 2014 - 2012

= - 2 / 2

<u>Rate of change</u> = <u>- 1</u>

Therefore, the number of employees with health care benefits reduced by 1 person per year between 2012 - 2014 in response to policy changes.

5 0
3 years ago
What is the ratio of 3/20
Sveta_85 [38]
The ratio of 3/20 is 3:20
5 0
3 years ago
Is it (sss) (side side side ) Hypotenuse-Leg (HL), ssa?(sas) aaa,asa,aas?
Reil [10]
  • Here, both the triangles have equal sides.
  • So, the two triangles are related by SSS.
  • If all the sides of a triangle are equal to all the sides of another triangle, so the triangles are congruent to each other.

<u>Answer</u><u>:</u>

<u>SSS,</u><u> </u><u>congruent.</u>

Hope you could get an idea from here.

Doubt clarification - use comment section.

4 0
2 years ago
Which angle is congruent to &lt;4 &lt;1&lt;2&lt;5&lt;8
Anna007 [38]

Answer:

The angle that will be congruent to angle 4 is :

                             Angle 1

Step-by-step explanation:

It is given that:

angle 4 and angle 5 are complements.

Also, angle 1 and angle 5 are complements.

Congruent complementary Theorem--

It states that if two angles are complementary to the same angle, then the two angles are congruent to each other.

Here both angle 1 and angle 4 are complementary to the same angle i.e. angle 5.

8 0
3 years ago
The function f(x)=2x−5 is a linear function. Let g(x) represent f(x) after a horizontal translation 3 units to the right.
Ray Of Light [21]

Answer:

the equation of g(x) is, g(x) = 2x-11  

Step-by-step explanation:

The transformation of the function is defined as:

g(x)=f(x+b)

where, b represents the horizontal shift.

if b> 0 then, the function f(x) shifts b units left and if b< 0 ; then the function shifts b units right  

As per the statement:

The function f(x)=2x−5 is a linear function.

It is given that:

g(x) represent f(x) after a horizontal translation 3 units to the right.

⇒g(x) =f(x-3)

then

g(x) = 2(x-3)-5

⇒g(x) = 2x-6-5

⇒g(x) = 2x-11

Therefore, the equation of g(x) is, g(x) = 2x-11

8 0
3 years ago
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