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Ryan bought a brand new car for $18,000. Its value depreciated at a rate of 1.2%.

Write a function to represent the value of the car as a function of time.

A. v(t)=18000(0.012)^t

B.V(t)=18000(1.2)^t

C.v(t)=18000(98.8)^t

D(t)=18000(0.988)^t

Respuesta :

samuelonum1

Answer:

A(t)= 18000(0.988)^t

Step-by-step explanation:

Given data

Ryan bought a brand new car for $18,000

Its value depreciated at a rate of 1.2%

Let us use the compound expression

A= P(1-r)^t

substitute

A= 18000(1-0.012)^t

A(t)= 18000(0.988)^t

Hence the expression is A(t)= 18000(0.988)^t

abidemiokin

A function to represent the value of the car as a function of time is v(t) = 18000(0.988)^t

Exponential function

The standard exponential equation is in the form y = ab^x

b is the rate which can be growth or decline

  • If the value of b < 1, it is a depreciation
  • If the value of b > 1, it is an appreciation

If Ryan bought a brand new car for $18,000 and its value depreciated at a rate of 1.2%, the exponential equation represented by this statement is;t

v(t) = 18000(1-0.0012)^t

v(t) = 18000(0.988)^t

Hence a function to represent the value of the car as a function of time is v(t) = 18000(0.988)^t

Learn more on exponential function here: https://brainly.com/question/12940982

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