Victor bought a brand new car for P750,000. If the value of the car depreciates 20%per year, what will it be worth during the fourth year?

750000 * 0.8^3 at the start of the 4th year.

750000 * 0.8^4 at the end of the 4th year

you will have to decide when "during" the year you want its value.

307 200

To find out what the car will be worth during the fourth year, we need to calculate the depreciation for each year and then subtract it from the original value.

Given:
- Original value of the car: P750,000
- Depreciation rate per year: 20%

First, let's calculate the depreciation for each year. We'll use a simple formula:

Depreciation in each year = Original value x Depreciation rate

For the first year:
Depreciation in the first year = P750,000 x 20% = P150,000

Now, let's calculate the value after the first year:
Value after the first year = Original value - Depreciation in the first year
Value after the first year = P750,000 - P150,000 = P600,000

For the second year:
Depreciation in the second year = Value after the first year x Depreciation rate
Depreciation in the second year = P600,000 x 20% = P120,000

Value after the second year:
Value after the second year = Value after the first year - Depreciation in the second year
Value after the second year = P600,000 - P120,000 = P480,000

For the third year:
Depreciation in the third year = Value after the second year x Depreciation rate
Depreciation in the third year = P480,000 x 20% = P96,000

Value after the third year:
Value after the third year = Value after the second year - Depreciation in the third year
Value after the third year = P480,000 - P96,000 = P384,000

For the fourth year:
Depreciation in the fourth year = Value after the third year x Depreciation rate
Depreciation in the fourth year = P384,000 x 20% = P76,800

Value after the fourth year:
Value after the fourth year = Value after the third year - Depreciation in the fourth year
Value after the fourth year = P384,000 - P76,800 = P307,200

Therefore, the car will be worth P307,200 during the fourth year.