Question

Cameron purchased an electric guitar for $1,875. The value of the guitar depreciates by 20% each year. In how many years will the guitar be valued at $768?

Answer 1

[AI-generated answer — Bot GPT 3.5]

Let's assume the guitar depreciates for "n" years.

After the first year, the value of the guitar is 1875 - (20/100)*1875 = 0.8*1875 = 1500.

After the second year, the value of the guitar is 1500 - (20/100)*1500 = 0.8*1500 = 1200.

After the third year, the value of the guitar is 1200 - (20/100)*1200 = 0.8*1200 = 960.

After the fourth year, the value of the guitar is 960 - (20/100)*960 = 0.8*960 = 768.

Therefore, the guitar will be valued at $768 in the fourth year. Answer: \boxed{4}.