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Question
your new $900 computer is depreciating in value by $175 per year. you want to calculate how many years it will take for the value to reach $200. you can do this to complete the calculation. estimate solve an equation subtract $175 from $900 make a graph
Step1: Set up the linear - depreciation equation
Let $t$ be the number of years. The initial value of the computer is $V_0 = 900$, the rate of depreciation is $r=175$ per year, and the final value is $V = 200$. The linear - depreciation formula is $V=V_0−rt$. Substituting the values, we get the equation $200 = 900-175t$.
Step2: Solve the equation for $t$
First, add $175t$ to both sides of the equation: $200 + 175t=900$. Then subtract 200 from both sides: $175t=900 - 200=700$. Finally, divide both sides by 175: $t=\frac{700}{175}=4$.
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