You buy a new computer for $2000. The computer decreases value by 25% each year. Given the equation V(t)=2000(.75)t , where V represents the computer's value in dollars and t represents the time in years. After how many years will the computer be worth half the original value? Give your answer to 3 decimal places.

You would need 3 years till the total value is less than the 2,000.

Step-by-step explanation:

Year 1.) 1,500

Year 2.) 1,125

Year 3.) 843.75

so firstly, we need to isolate the y variables to be able to solve these inequalities. firstly, add 0.5x on both sides of the first inequality and subtract 1.5x on both sides of the second inequality:

now since the slope is positive for the first inequality, this means that the line going upwards belongs to the first inequality, and the line going downwards belongs to the second inequality.

next, since y ≥ in the first inequality, this means that the shaded region will be above the first inequality's line, thus shading regions a and b.

next, since y ≤ in the second inequality, this means that the shaded region is going to be below this line, thus shading regions a and c.

since both lines shade region a, this means that region a is the solution.

step-by-step explanation:

mark brainliest!

a

step-by-step explanation: