Question

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.

Answer 1

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.

Answer 2

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)