Magnus purchased a car for $35,865. It depreciates about 3.6% each year. What is the value of the car after ten years?

To find the value of the car after ten years, we need to calculate the depreciation for each year and subtract it from the original purchase value.

Step 1: Calculate the depreciation for one year.
Depreciation = 3.6/100 * $35,865
Depreciation = $1,293.54

Step 2: Calculate the value of the car after one year.
Value after one year = $35,865 - $1,293.54
Value after one year = $34,571.46

Step 3: Repeat steps 1 and 2 for ten years.
Depreciation for year 2 = 3.6/100 * $34,571.46 = $1,246.58
Value after two years = $34,571.46 - $1,246.58 = $33,324.88

Depreciation for year 3 = 3.6/100 * $33,324.88 = $1,199.50
Value after three years = $33,324.88 - $1,199.50 = $32,125.38

Continue this process for ten years:

Year 4: Value after four years = $32,125.38 - depreciation
Year 5: Value after five years = value after four years - depreciation
Year 6: Value after six years = value after five years - depreciation
Year 7: Value after seven years = value after six years - depreciation
Year 8: Value after eight years = value after seven years - depreciation
Year 9: Value after nine years = value after eight years - depreciation
Year 10: Value after ten years = value after nine years - depreciation

By repeating this process, you can calculate the value of the car after ten years.

To determine the value of the car after ten years, we need to calculate the depreciation amount for each year and subtract it from the original price.

The formula to calculate the depreciation amount is:

Depreciation amount = Original price * Depreciation rate

Here, the original price of the car is $35,865, and the depreciation rate is 3.6%.

First, let's calculate the depreciation amount for the first year:

Depreciation amount for Year 1 = $35,865 * 3.6% = $1,291.14

To find the value of the car after the first year, subtract the depreciation amount from the original price:

Value after Year 1 = $35,865 - $1,291.14 = $34,573.86

Now, to find the value of the car after ten years, we repeat this process for each year.

Year 2:
Depreciation amount for Year 2 = $34,573.86 * 3.6% = $1,245.26
Value after Year 2 = $34,573.86 - $1,245.26 = $33,328.60

Year 3:
Depreciation amount for Year 3 = $33,328.60 * 3.6% = $1,200.36
Value after Year 3 = $33,328.60 - $1,200.36 = $32,128.24

Continue this calculation for the remaining years until Year 10.

Year 4:
Depreciation amount for Year 4 = $32,128.24 * 3.6% = $1,158.40
Value after Year 4 = $32,128.24 - $1,158.40 = $30,969.84

Year 5:
Depreciation amount for Year 5 = $30,969.84 * 3.6% = $1,115.89
Value after Year 5 = $30,969.84 - $1,115.89 = $29,853.95

Year 6:
Depreciation amount for Year 6 = $29,853.95 * 3.6% = $1,074.74
Value after Year 6 = $29,853.95 - $1,074.74 = $28,779.21

Year 7:
Depreciation amount for Year 7 = $28,779.21 * 3.6% = $1,036.06
Value after Year 7 = $28,779.21 - $1,036.06 = $27,743.15

Year 8:
Depreciation amount for Year 8 = $27,743.15 * 3.6% = $999.55
Value after Year 8 = $27,743.15 - $999.55 = $26,743.60

Year 9:
Depreciation amount for Year 9 = $26,743.60 * 3.6% = $965.77
Value after Year 9 = $26,743.60 - $965.77 = $25,777.84

Year 10:
Depreciation amount for Year 10 = $25,777.84 * 3.6% = $927.99
Value after Year 10 = $25,777.84 - $927.99 = $24,849.85

Therefore, the value of the car after ten years would be approximately $24,849.85.

what is

35865 ( .944)^ 10 ??