Car depreciate at an annual rate of 10%p.a.if the car costs K75000when new,how much is the car worth after 4 years?

To calculate the value of the car after 4 years, we need to use the formula for depreciation:

Value after depreciation = Initial value - (Initial value * depreciation rate * number of years)

Depreciation rate = 10% = 0.10
Initial value = K75000
Number of years = 4

Value after depreciation = K75000 - (K75000 * 0.10 * 4)
Value after depreciation = K75000 - (K75000 * 0.40)
Value after depreciation = K75000 - K30000
Value after depreciation = K45000

Therefore, the car is worth K45000 after 4 years.

The car's value after 4 years can be calculated using the formula:
Value after n years = Initial value - (1 - Depreciation rate)^n

Given:
Initial value = K75000
Depreciation rate = 10% p.a. = 0.10
Number of years (n) = 4

Plugging in the values, we get:
Value after 4 years = K75000 - (1 - 0.10)^4
= K75000 - 0.6575
= K49,313

Therefore, the car is worth K49,313 after 4 years.