contestada

Last month, Maria purchased a new cell phone for $500. The store manager told her that her new cell phone would depreciate by 70% every 6 months. Maria thinks she will want to replace her phone after a while. What will be the value (V) of her phone if she tries to trade it in after 2 years? Select all that apply.

Last month Maria purchased a new cell phone for 500 The store manager told her that her new cell phone would depreciate by 70 every 6 months Maria thinks she wi class=

Respuesta :

Answer:

[tex]V = 500(1-0.7)^{4}[/tex]

or

[tex]V = 500(0.3)^{4}[/tex]

Step-by-step explanation:

The value of her phone after t intervals of 6 months is given by the following equation:

[tex]V(t) = V(0)(1-r)^{t}[/tex]

In which V(0) is the initial value and r is the depreciation rate, as a decimal.

Last month, Maria purchased a new cell phone for $500.

This means that [tex]V(0) = 500[/tex]

The store manager told her that her new cell phone would depreciate by 70% every 6 months.

This means that [tex]r = 0.7[/tex]

So

[tex]V(t) = V(0)(1-r)^{t}[/tex]

[tex]V(t) = 500(1-0.7)^{t}[/tex]

[tex]V(t) = 500(0.3)^{t}[/tex]

After 2 years:

2 years is 24 months, 24/6 = 4, so we have to find V(4).

The possible options are:

[tex]V = 500(1-0.7)^{4}[/tex]

or

[tex]V = 500(0.3)^{4}[/tex]

Answer:

Answer:

or

Step-by-step explanation:

The value of her phone after t intervals of 6 months is given by the following equation:

In which V(0) is the initial value and r is the depreciation rate, as a decimal.

Last month, Maria purchased a new cell phone for $500.

This means that

The store manager told her that her new cell phone would depreciate by 70% every 6 months.

This means that

So

After 2 years:

2 years is 24 months, 24/6 = 4, so we have to find V(4).

The possible options are:

or

Step-by-step explanation: