QuestionA small business estimates that the value $\mathrm{V}(t)$ of a copy machine is decreasing according to the function $$V(t)=7000(4)^{-0.12 t}$$ where $t$ is the number of years that have elapsed since the machine was purchased, and $\mathrm{V}(\mathrm{t})$ is in dollars. Use this information to answer parts (a)-(d). (a) What was the original value of the machine?
The original value was $\$ 7000$. (Round to the nearest dollar as needed.) (b) What is the value of the machine 5 yr after purchase, to the nearest dollar?
The value of the machine 5 yr after purchase is approximately. $\$ 3047$. (Round to the nearest dollar as needed.) (c) What is the value of the machine 10 yr after purchase, to the nearest dollar?
The value of the machine 10 yr after purchase is approximately $\$$ $\square$ (Round to the nearest dollar as needed.)