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VARVARA [1.3K]
3 years ago
6

Determinado automovel, apos sua compra, perde 10% do valor ano a ano nos 3 preimeiros anos. Calcule o valor do automovel ao fina

l desse periodo sabendo que ele foi comprado por R$80.000
Mathematics
1 answer:
TEA [102]3 years ago
3 0

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:

V(t) = V(0)(1-r)^{t}

In which V(0) is the initial value and r is the yearly depreciation rate.

In this question, we have that:

V(0) = 80000, r = 0.1

So

V(t) = V(0)(1-r)^{t}

V(t) = 80000(1-0.1)^{t}

V(t) = 80000(0.9)^{t}

Value of the car at the end of 3 years:

V(3) = 80000(0.9)^{3} = 58320

The value of the car after 3 years is R$58.320.

O valor do carro ao final desse período é R$58.320.

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