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33 votes
33 votes
the value of a car is $8,400.if it decreases by 5%/ this year and then by 5% of rhe new price next year, how much will it be worth two years from now?

User Diomidis Spinellis
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1 Answer

15 votes
15 votes

The value of a car is $8,400

it decreases by 5% this year.

Price of the car after 1st year:


\begin{gathered} 8,400*(1-(5)/(100)) \\ 8,400*(1-0.05) \\ 8,400*(0.95) \\ 7,980 \end{gathered}

So, the price of the car after the 1st year will be $7,980.

Price of the car after 2nd year:

Now you will use $7,980 as a starting price.


\begin{gathered} 7,980*(1-(5)/(100)) \\ 7,980*(1-0.05) \\ 7,980*(0.95) \\ 7,581 \end{gathered}

So, the price of the car after the 2nd year will be $7,581.

Therefore, the car will be worth $7,581 two years from now.

User Andrew Tsay
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