Question

A laptop computer i purchaed for. Each year, it value i $1500 of it value 75% the year before. After how many year will the laptop computer be worth $200 or le

Answer 1

After 7 years  the laptop computer will be worth $200 or less.

In this question, we have been given a laptop computer is purchased for $1500 . Each year, its value is 75%  of its value the year before.

We need to find the number of years when laptop computer be worth $200  or less.

We can see that given situation represents exponential decay function with initial value 1500, decay rate = 0.75 and the final value = 200

We need to find period t.

For given situation we get an exponential function as,

1500 * (0.75)^t ≤  200

(0.75)^t  ≤ 2/15

t * ln(0.75) ≤ ln(2/15)

t * (-0.2877) ≤ -2.0149

t ≥ (-2.0149)/(-0.2877)

t ≥ 7

Therefore, the laptop computer will be worth $200 or less after 7 years.

Learn more about exponential function here:

brainly.com/question/14355665

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