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Cars lose value over time. Every decade, their value decreases by 1/2. A car is bought for $2000. How much is it worth after 1 decade?

Sagot :

Answer:

$1000

Step-by-step explanation:

We can model the price of a given car with the formula [tex]P=I\cdot\frac{1}{2}^t[/tex], where P is the current price of the car, I is the initial price, and t is the amount of time in decades that the car has been around. Plugging 2000 in for I and 1 in for t, we get:

[tex]P=2000\cdot\frac{1}{2}^{t}=2000\cdot\frac{1}{2}=1000[/tex]