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A computer sells for $ 900 $900dollar sign, 900 and loses 30 % 30%30, percent of its value per year. Write a function that gives the computer's value, V ( t ) V(t)V, left parenthesis, t, right parenthesis, t tt years after it is sold.

User Nleslie
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2 Answers

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Answer: 900(0.7)^t

A computer sells for $ 900 $900dollar sign, 900 and loses 30 % 30%30, percent of its value per year. Write a function that gives the computer's value, V ( t ) V(t)V, left parenthesis, t, right parenthesis, t tt years after it is sold.

User Robert Kaufmann
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6.6k points
4 votes

Answer:

The value of the computer is given by
900(0.7)^(t).

Explanation:

A computer sells for $900.

If the price of the computer loses 30% of its value per year, then it is compounded every year.

Now, the price of the computer t years after it is sold will be


900(1 - (30)/(100))^(t)  = 900(0.7)^(t) ........... (1)

Therefore, the value of the computer is given by the above equation (1). (Answer)

User Miles
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