A new 2006 Honda head was values at $25000. It depresides at a rate of 13% a year.
1. What was its value in 2009
2.What will be its value in 2020?

1. It's value in 2009 was $16,462.575

2. It's value in 2020 will be $3,558.

Step-by-step explanation:

The equation for the value of car after t years has the following format.

In which V(t) is the value after t years, V(0) is the initial value and r is the ratio of depreciation.

In this problem, we have that:

So

1. What was its value in 2009

2009 is 3 years after 2006, so this is V(3)

It's value in 2009 was $16,462.575

2.What will be its value in 2020?

2020 is 14 years after 2006, so this is V14)

It's value in 2020 will be $3,558.