answer the question in the given scenario.\nalice buys a new high-end laptop for $1,500. she learns that…

answer the question in the given scenario.\nalice buys a new high-end laptop for $1,500. she learns that electronic devices like laptops typically decrease in value by about 25% each year due to technological advancements and wear and tear. alice plans to sell the laptop after 4 years. how much is the laptop expected to be worth at that time?\n$347.31\n$474.61\nnone of these\n$286.74

answer the question in the given scenario.\nalice buys a new high-end laptop for $1,500. she learns that electronic devices like laptops typically decrease in value by about 25% each year due to technological advancements and wear and tear. alice plans to sell the laptop after 4 years. how much is the laptop expected to be worth at that time?\n$347.31\n$474.61\nnone of these\n$286.74

Answer

Explanation:

Step1: Define depreciation formula

This is exponential depreciation. The formula for the value (V) after (t) years is: $$V = P(1 - r)^t$$ where (P = 1500) (initial value), (r = 0.25) (annual depreciation rate), (t = 4) (years).

Step2: Calculate remaining value factor

First compute (1 - r = 1 - 0.25 = 0.75). Then calculate (0.75^4): $$0.75^4 = 0.75 \times 0.75 \times 0.75 \times 0.75 = 0.31640625$$

Step3: Compute final value

Multiply the initial value by the factor: $$V = 1500 \times 0.31640625$$

Answer:

$474.61