1.A manufacturing company purchases a new machine for its assembly line. The current value of the machine is $41,955. The company decides to depreciate the value of the machine using the straight line method over a period of 12 years.

1. Assume thattrepresents the number of years since the machine was purchased andVrepresents the depreciated value of the machine at that time. Find a linear equation which relatesVandt.
2. How many years will have passed when the estimated value of the machine is $16,452

Enter the answer to Part b

2. Let p denote the current market price for widgets and let x denote a quantity of widgets.

The price per widget and the daily supply of widgets are related by the following Supply Equation: p = 0.12x + 15.

The price per widget and the daily demand for widgets are related by the following Demand Equation: p = -0.04x + 40.

Find the equilibrium price for widgets in the market.