The problem states that a laptop is initially valued at $2350. Each year, the laptop loses 1/5 of its value. We want to find the value of the laptop after 3 years.

1. Problem Description

The problem states that a laptop is initially valued at $

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0. Each year, the laptop loses 1/5 of its value. We want to find the value of the laptop after 3 years.

2. Solution Steps

Let $V_0$ be the initial value of the laptop. So, $V_0 = 2350$.

Each year the laptop loses 1/5 of its value. This means that each year, the laptop retains $1 - \frac{1}{5} = \frac{4}{5}$ of its value.

After 1 year, the value of the laptop is $V_1 = V_0 \times \frac{4}{5}$.

After 2 years, the value of the laptop is $V_2 = V_1 \times \frac{4}{5} = V_0 \times (\frac{4}{5})^2$.

After 3 years, the value of the laptop is $V_3 = V_2 \times \frac{4}{5} = V_0 \times (\frac{4}{5})^3$.

Plugging in the value of $V_0$:

$V_3 = 2350 \times (\frac{4}{5})^3 = 2350 \times \frac{4^3}{5^3} = 2350 \times \frac{64}{125} = \frac{2350 \times 64}{125} = \frac{150400}{125} = 1203.2$.

The value of the laptop after 3 years is $1203.

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3. Final Answer

$1203.20