A paper manufacturer buys a machine for $120,000. During the next 5 years, it wi

Question

A paper manufacturer buys a machine for $120,000. During the next 5 years, it will depreciate at a rate of 30% per year. (In other words, at the end of each year the depreciated value will be 70% of what it was at the beginning of the year). Find the formula for the nth term of a geometric sequence that gives the value of the machine t full years after it was purchased. Given the term of the sequence, state whether the sequence has a perfect linear model, a perfect quadratic model or neither: a_1 = -3, a_n = a_n - 1 - 2n.

Explanation / Answer

9. we have to use the following formula

A(t)=A0(1-r)t

A(t) =120000(1-.3)^t

A(t)=120000(.7)^n

and that's the required model.

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