Answer:
The value of the car after 3 years is R$58.320.
O valor do carro ao final desse período é R$58.320.
Step-by-step explanation:
The value of the car after t years is given by the following equation:
[tex]V(t) = V(0)(1-r)^{t}[/tex]
In which V(0) is the initial value and r is the yearly depreciation rate.
In this question, we have that:
[tex]V(0) = 80000, r = 0.1[/tex]
So
[tex]V(t) = V(0)(1-r)^{t}[/tex]
[tex]V(t) = 80000(1-0.1)^{t}[/tex]
[tex]V(t) = 80000(0.9)^{t}[/tex]
Value of the car at the end of 3 years:
[tex]V(3) = 80000(0.9)^{3} = 58320[/tex]
The value of the car after 3 years is R$58.320.
O valor do carro ao final desse período é R$58.320.
