Answer: $615,872.50
Explanation:
The amount the National Health Center will receive is the sum of the future values, 3 years from now, of the annual payments of the fines.
Future value of $100,000 paid 1 year from today:
= 100,000 * (1 + 3.5%)²
= $107,122.50
Future value of $250,000 paid 2 years from now:
= 250,000 * (1 + 3.5%)
= $258,750
Future value of $250,000 paid 3 years from today:
= $250,000
Total is:
= 107,122.50 + 258,750 + 250,000
= $615,872.50