Apologies for the confusion earlier. Let's re-calculate it to confirm:
Given:
Initial value = $500,000
Depreciation rate = 10%
Number of years = 5
After 1 year:
Value after 1 year = $500,000 x (1-0.1)
Value after 1 year = $500,000 x 0.9
Value after 1 year = $450,000
After 2 years:
Value after 2 years = $450,000 x 0.9
Value after 2 years = $450,000 x 0.9
Value after 2 years = $405,000
After 3 years:
Value after 3 years = $405,000 x 0.9
Value after 3 years = $405,000 x 0.9
Value after 3 years = $364,500
After 4 years:
Value after 4 years = $364,500 x 0.9
Value after 4 years = $364,500 x 0.9
Value after 4 years = $328,050
After 5 years:
Value after 5 years = $328,050 x 0.9
Value after 5 years = $328,050 x 0.9
Value after 5 years = $295,245 (rounded to the nearest integer)
Therefore, the machine's value after 5 years would actually be approximately $295,245. Thank you for your patience.