Question

Jill bought a car for $50,000. Her car depreciates at a rate of 10% a year. create an equation for the problem

Answer 1

Answer:

The value of car after n years at the depreciation rate is                              $ 50,000 $(0.9)^{n}$  .

Step-by-step explanation:

Given as :

The cost of the car that Jill bought = $ 50,000

The depreciation rate of car value = r = 10 % a years

Let The car after n years of depreciation = $ A

Now, According to question

The cost of car after n years of depreciation = initial cost of car × $(1 - \dfrac{\textrm rate}{100})^{\textrm time}$

Or, $ A = $50,000 × $(1 - \dfrac{\textrm r}{100})^{\textrm n}$

Or, $ A = $50,000 × $(1 - \dfrac{\textrm 10}{100})^{\textrm n}$

Or, $ A = $50,000 × $(\frac{90}{100})^{n}$

I.e $ A = $50,000 × $(0.9)^{n}$

So, value of car after n years = $ 50,000 $(0.9)^{n}$

Hence The value of car after n years at the depreciation rate is                      $ 50,000 $(0.9)^{n}$  . Answer