Kathy plans to purchase a car that depreciates (loses value) at a rate of 14 %per year. The initial cost of the car is $21,000. What is the value of the car at the nearest dollar after 3 years?

After 3 years the car will have the value $13 358.

Step-by-step explanation:

1st year:

21000*14% = 21000*14/100 = 2940 - this is the value that will be lost after one year

21000-2940 = 18060

2nd year

We are taking the value of the car after one year - $18060

18060*14% = 18060 * 14/100 = 2528

18060 - 2528 = 15532

3nd year

Now we are taking the value of the car from the 2nd year - $15532

15532*14% = 15532*14/100 = 2174

15532-2174 = 13358