A new car is purchased for 15100 dollars. The value of the car depreciates at 13% per year. To the nearest tenth of a year, how long will it be until the value of the car is 1900 dollars?

The price of car will be $1,900 after 14.9 years.

Step-by-step explanation:

Formula of depreciate:

A= The price of the car after n years.

P= The initial price of the car

r= rate of depreciate

n=time in years.

Given that,

A new car is purchased for $ 15,100.

The value of car depreciates at 13% per year.

Here P=$15,100, A=$1,900, r=13%=0.13, n=?

Tanking ln function both sides

⇒n ≈14.9

The price of car will be $1,900 after 14.9 years.

multiplication is multiplication.   it might feel harder depending on what level of math you are in, but generally it will be the same old stuff, while implementing some new concepts and methods of solving work.