A gaming computer system and additional equipment was purchased for $2,000. The system and equipment depreciate in value by 10% each year.

After how many years will the computer have a value less than $1,000?

A. 1
B. 3
C. 7
D. 8

Respuesta :

2000-200 = 1800

1800-180 = 1620

1620 - 162 = 1458

1458- 148.8 = 1309

1309 - 130.9 = 1178

1178- 117.8 = 1060.2

1060 - 106 = 954

= 7 years

The value of the car is $956.5938 after 7 years and this can be determined by using arithmetic operations.

Given :

  • A gaming computer system and additional equipment was purchased for $2,000.
  • The system and equipment depreciate in value by 10% each year.

The following steps can be used in order to determine the total number of years will the computer have a value of less than $1,000:

Step 1 - The 10% of $2000 is $200. So, the value of the car after 1 year is $1800.

Step 2 - The 10% of $1800 is $180. So, the value of the car after 2 years is $1620.

Step 3 - The 10% of $1620 is $162. So, the value of the car after 3 years is $1458.

Step 4 - The 10% of $1458 is $145.8. So, the value of the car after 4 years is $1312.2.

Step 5 - The 10% of $1312.2 is $131.22. So, the value of the car after 5 years is $1180.98.

Step 6 - The 10% of $1180.98 is $118.098. So, the value of the car after 6 years is $1062.882.

Step 7 - The 10% of $1062.882 is $106.2882. So, the value of the car after 7 years is $956.5938.

Therefore, the correct option is C).

For more information, refer to the link given below:

https://brainly.com/question/25834626