suppose that a company has just purchased a new computer for $3000. the company chooses to depreciate using…

suppose that a company has just purchased a new computer for $3000. the company chooses to depreciate using the straight - line method for 5 years.\n0.5\n(type your answer in interval notation.)\n(c) use the graphing tool to graph the linear equation.\n(d) what is the book value of the computer after 4 years?\n$600\n(round to the nearest dollar as needed.)\n(e) when will the computer be worth $1800?\nafter year(s) the computer will be worth $1800.\n(type a whole number.)

suppose that a company has just purchased a new computer for $3000. the company chooses to depreciate using the straight - line method for 5 years.\n0.5\n(type your answer in interval notation.)\n(c) use the graphing tool to graph the linear equation.\n(d) what is the book value of the computer after 4 years?\n$600\n(round to the nearest dollar as needed.)\n(e) when will the computer be worth $1800?\nafter year(s) the computer will be worth $1800.\n(type a whole number.)

Answer

Explanation:

Step1: Find annual depreciation amount

The computer has an initial value of $3000 and is depreciated over 5 years. The annual depreciation $d$ is calculated by the formula $d=\frac{3000 - 0}{5}$. So $d = 600$ dollars per year. The linear - equation for the book value $V(x)$ of the computer after $x$ years is $V(x)=3000 - 600x$, where $x$ is the number of years and $0\leq x\leq5$.

Step2: Solve for $x$ when $V(x) = 1800$

Set up the equation $1800=3000 - 600x$. First, add $600x$ to both sides: $600x+1800 = 3000$. Then subtract 1800 from both sides: $600x=3000 - 1800$. So $600x = 1200$. Finally, divide both sides by 600: $x=\frac{1200}{600}=2$.

Answer:

2