Final answer:
Erica's computer system has depreciated to a current value of $957.80 after two years, considering a 26% annual depreciation, which does not match any of the answer choices provided.
Step-by-step explanation:
To calculate the current value of Erica's computer system, which depreciates at a rate of 26% per year, we need to apply the formula for exponential decay:
Value = Original Price × (1 - Rate of Depreciation)Number of Years
So, for Erica's computer system:
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- Original Price = $1750
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- Rate of Depreciation = 26% or 0.26
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- Number of Years = 2
Plugging these values into the formula, we get:
Value = $1750 × (1 - 0.26)2
This simplifies to:
Value = $1750 × (0.74)2
Value = $1750 × 0.5476
Value = $957.80
It appears that none of the answer options provided directly match the calculated value ($957.80), which suggests there might be a typo or error in the question or answer choices. Therefore, based on the correct calculations, the value of the computer system after 2 years of depreciation would be less than the provided options.