A Cada Ano Que Passa, Um Automóvel Sofre Desvalorização De 15% Em Relação Ao Ano Anterior. Se P0 Representa O Valor Do Automóvel No Ato Da Compra, Após 20 Anos Qual O Seu Valor?

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Introdução

Os automóveis são uma das principais compras que as pessoas fazem ao longo da vida. No entanto, ao contrário de outros bens de consumo, os automóveis tendem a perder valor com o tempo. De acordo com uma regra geral, os automóveis sofrem uma desvalorização de 15% em relação ao ano anterior. Neste artigo, vamos explorar como essa desvalorização afeta o valor de um automóvel ao longo de 20 anos.

A Fórmula de Desvalorização

A desvalorização de um automóvel pode ser calculada usando a fórmula de desconto. A fórmula é:

Pn = P0 x (1 - r)^n

Onde:

  • Pn é o valor do automóvel após n anos
  • P0 é o valor do automóvel no ato da compra
  • r é a taxa de desvalorização anual (15% no caso)
  • n é o número de anos

Cálculo do Valor do Automóvel após 20 Anos

Vamos calcular o valor do automóvel após 20 anos, supondo que o valor inicial seja de R$ 100.000,00.

P0 = R$ 100.000,00 r = 15% = 0,15 n = 20 anos

Q: Qual é a taxa de desvalorização anual dos automóveis? A: A taxa de desvalorização anual dos automóveis é de 15%.

Q: Como é calculada a desvalorização de um automóvel? A: A desvalorização de um automóvel é calculada usando a fórmula de desconto: Pn = P0 x (1 - r)^n, onde Pn é o valor do automóvel após n anos, P0 é o valor do automóvel no ato da compra, r é a taxa de desvalorização anual e n é o número de anos.

Q: Qual é o valor do automóvel após 20 anos, supondo que o valor inicial seja de R$ 100.000,00? A: Utilizando a fórmula de desconto, podemos calcular o valor do automóvel após 20 anos: P20 = R$ 100.000,00 x (1 - 0,15)^20 = R$ 100.000,00 x 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