Q:

A laptop computer is purchased for $1500 after each year the resale value decreases by 25% what will the resale value be after three years

Accepted Solution

A:
Answer: The resale value after three years = $ 632.8125‬ Explanation:Given the laptop purchase for $1500 Therefore, the cost price = $1500 According to the question, the resale value decreases by 25%, Then after three years, the resale value is Resale Value = [tex]\text { cost Price }\left(1-\frac{r}{100}\right)^{\text {time }}[/tex]Substituting the values, Resale Value = [tex]1500\left(1-\frac{25}{100}\right)^{3}[/tex]Resale Value = [tex]1500\times (\frac{3}{4})^3[/tex]Resale Value = [tex]1500\times \frac{3}{4}\times \frac{3}{4}\times \frac{3}{4}[/tex]Resale Value = $632.8125‬ Therefore, the resale value after three years = $ 632.8125‬