Answer: To find the resale value of the laptop computer after a certain number of years with a 25% decrease in value each year, we can use the formula for exponential decay:
Resale Value = Initial Value * (1 - Rate of Decrease)^Number of Years
Given:
Initial Value (V0) = $1650
Rate of Decrease (r) = 25% or 0.25 (as a decimal)
Let's calculate the resale value after a certain number of years (n):
Resale Value after n years = $1650 * (1 - 0.25)^n
Now, you can substitute the value of "n" to find the resale value after that many years. For example:
After 1 year (n = 1):
Resale Value after 1 year = $1650 * (1 - 0.25)^1
Resale Value after 1 year = $1650 * (0.75)
Resale Value after 1 year = $1237.50
After 2 years (n = 2):
Resale Value after 2 years = $1650 * (1 - 0.25)^2
Resale Value after 2 years = $1650 * (0.75)^2
Resale Value after 2 years = $1650 * 0.5625
Resale Value after 2 years = $928.125
And so on, you can continue to find the resale value after any number of years by plugging in the appropriate value for "n" in the formula. Each year, the resale value will decrease by 25% of the previous year's value.