Respuesta :

Each year its value is 100-15 = 85% of previous year  so after 5 years its value is    25,000 *(0.85)^5 =  11,092 dollars

Answer:

Value of car after 5 years will be $ 11092.63

Step-by-step explanation:

Given: Amount of car, P = $ 25,000

           Value of car decreases = 15% each year that is R = 15%

           Time, T = 5 years.

To find: Approximate value after 5 years.

We use the following formula of depreciation.

[tex]A=P(1-\frac{R}{100})^n[/tex]

where, n is number of periods.

here, n = T = 5

So,

[tex]A=25000(1-\frac{15}{100})^5[/tex]

[tex]A=25000(\frac{100-15}{100})^5[/tex]

[tex]A=25000(\frac{85}{100})^5[/tex]

[tex]A=25000(0.4437053125)[/tex]

[tex]A=25000\times0.4[/tex]

A = $ 11092.63

Therefore, Value of car after 5 years will be $ 11092.63