Jasmine purchased a laptop worth $1,500 in 2007. It loses its value by %32 each year. What is the value of the laptop in 2010? Round to the nearest cent.

Respuesta :

Answer:

$471.65

Step-by-step explanation:

-The value of the laptop after each year is calculated by the formula:

[tex]P_t=P_o(1-d)^t[/tex]

where:

[tex]P_t[/tex] is the value at time t

[tex]P_o[/tex] is the initial value

[tex]d[/tex] is the rate of depreciation

[tex]t[/tex] is the time

#We substitute the values to solve for the value after 3 years(2010-2007=3):

[tex]P_t=P_o(1-d)^t\\\\=1500(1-0.32)^3\\\\=\$471.65[/tex]

Hence, the value of the laptop in 2010 is $471.65