Answer:
The resale value after three years = $ 632.8125
Step-by-step 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 =
![\text { cost Price }\left(1-(r)/(100)\right)^{\text {time }}](https://img.qammunity.org/2020/formulas/mathematics/middle-school/dyn6kysdt6zgjpv5wumxa1rvolg43e6jk1.png)
Substituting the values,
Resale Value =
![1500\left(1-(25)/(100)\right)^(3)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/nt1414lcu4a0woa68597ka6avnj2dcp60s.png)
Resale Value =
![1500* ((3)/(4))^3](https://img.qammunity.org/2020/formulas/mathematics/middle-school/os3y1hcx6ldct4a6y7riaevty30b0n6kph.png)
Resale Value =
![1500* (3)/(4)* (3)/(4)* (3)/(4)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/cv253ko6w0t354ax4cng0ib6lbuima3zk5.png)
Resale Value = $632.8125
Therefore, the resale value after three years = $ 632.8125