Question

A new car is purchased for 23,900 dollars. The value of the car depreciates at a rate of 6.4% per year. Which equation represents the value of the car after 4 years? Answer Multiple Choice Answers V, equals, 23, comma, 900, left bracket, 0, point, 9, 3, 6, right bracket, left bracket, 0, point, 9, 3, 6, right bracket, left bracket, 0, point, 9, 3, 6, right bracket, left bracket, 0, point, 9, 3, 6, right bracketV=23,900(0.936)(0.936)(0.936)(0.936) V, equals, 23, comma, 900, left bracket, 1, plus, 0, point, 0, 6, 4, right bracket, to the power 4V=23,900(1+0.064) 4 V, equals, 23, comma, 900, left bracket, 1, minus, 0, point, 0, 6, 4, right bracket, left bracket, 1, minus, 0, point, 0, 6, 4, right bracketV=23,900(1−0.064)(1−0.064) V, equals, 23, comma, 900, left bracket, 0, point, 0, 6, 4, right bracket, to the power 4V=23,900(0.064) 4

Answer 1

V = 23,900(0.936)(0.936)(0.936)(0.936)

Explanation:

AI-generated answer

The equation that represents the value of the car after 4 years is:

V = 23,900(0.936)(0.936)(0.936)(0.936)

Let's break it down step by step:

1. The initial value of the car is $23,900.

2. The car depreciates at a rate of 6.4% per year. This means that after each year, the car's value decreases by 6.4%.

3. To find the value of the car after 1 year, we multiply the initial value by 0.936 (100% - 6.4% = 93.6%).

4. To find the value of the car after 2 years, we multiply the value after 1 year by 0.936 again.

5. We repeat this process for 4 years, multiplying the value after each year by 0.936.

Therefore, the equation V = 23,900(0.936)(0.936)(0.936)(0.936) represents the value of the car after 4 years, taking into account the 6.4% annual depreciation rate.

Note: The other options given in the multiple-choice answers do not accurately represent the correct equation for calculating the value of the car after 4 years.