To determine the value of Barry's computer after 15 years, we need to apply the formula for exponential decay, which is:

$V = P(1 - r)^t$

Where:

• $V$ is the value of the computer after $t$ years.
• $P$ is the initial price (in this case, $1,300).
• $r$ is the rate of depreciation (25% = 0.25).
• $t$ is the number of years (15 years).

Now, substituting the values:

$V = 1300(1 - 0.25)^{15}$ $V = 1300(0.75)^{15}$ $V \approx 1300(0.0133)$ $V \approx 17.29$

So, after 15 years, the computer will be worth approximately $17.29.

Let me know if you would like any more details or if you have questions!

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Here are five related questions for further exploration:

1. How does the depreciation rate affect the computer's value over time?
2. If the computer had a depreciation rate of 20%, what would its value be after 15 years?
3. How would you model the depreciation of a car that loses value at a different rate?
4. What are the real-life implications of exponential decay in consumer electronics?
5. How could we calculate the value of the computer after 10 years using the same formula?

Tip: Understanding the concept of exponential decay is crucial in many real-world applications, such as calculating the depreciation of assets like cars, electronics, or machinery!