Every year after a new car is purchased, it loses 1/3 of its value. Let’s say that a new car costs $18,000.


What is the common ratio of the decreasing value of the car? ***Type only the value of your fraction like this: 4/5


What would the value of the car be in 3 years? ***Round your answer to the nearest dollar with no commas and no $ symbol.

Every year after a new car is purchased it loses 13 of its value Lets say that a new car costs 18000What is the common ratio of the decreasing value of the car class=


Answer :

The common ratio of the decreasing value of the car is 2/3

The asset value of the car be in 3 years is $5,333

What fraction of the asset value is remaining after losing 1/3?

The fraction of asset value left after having lost 1/3 of its original value is 2/3, which is determined 1 minus 1/3 , note 1 represents 100% of asset initial value, hence, the common ratio of decreasing value is 2/3.

The asset value in any of the years can be determined as the original value multiplied 2/3 raised to the power of the year considered

asset value=original value*(2/3)^t

t=3(year 3)

asset value after 3 years=$18,000*(2/3)^3

asset value after 3 years=$5,333

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