Small business estimates that the value v (t) of a copy machine is decreasing according to the function defined by upper v left parenthesis t right parenthesis equals 11200 left parenthesis 4 right parenthesis superscript negative 0.12 tv (t) = 11200 (4) - 0.12t , where t is the number of years that have elapsed since the machine was purchased, and v (t) is in dollars. when will the value of the machine be $28002800 ?

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Mathematics

Marely Short

Yesterday, 21:30

Small business estimates that the value v (t) of a copy machine is decreasing according to the function defined by upper v left parenthesis t right parenthesis equals 11200 left parenthesis 4 right parenthesis superscript negative 0.12 tv (t) = 11200 (4) - 0.12t , where t is the number of years that have elapsed since the machine was purchased, and v (t) is in dollars. when will the value of the machine be $28002800 ?

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Carmden · Answer 1

Given that the value of a copy machine decreases according to the function: v (t) = 11200 (4) ^ (-0.12t), where, t is the number of years that have elapsed since the machine was purchased and v (t) is the cost of the machine in dollars. The time it takes for the machine to cost $2 800 can be determined by simply using the function and setting v (t) to be equal to $2 800. After calculating, the result is that the machine will cost $2 800 after 8.33 years of purchasing it.