Algebra-1

Question Analysis
This question assesses the student's ability to apply the depreciation formula with a semi-annual depreciation rate. The problem provides the initial value, the semi-annual depreciation rate, and the time period in years, and asks for the remaining value after the given time.

Key Concept Explanation
Depreciation is a form of exponential decay where the value of an asset decreases over time at a fixed proportion. The formula is used to calculate the remaining value of an asset after a certain period.

Step-by-step Solution
1. Convert the time period from years to semi-annual periods: periods.
2. Identify the given values: , , and .
3. Substitute these values into the depreciation formula:

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