A check will be written with the amount of $95. A sales discount, like 5%, 10days, simply means, you'll get 5% discount if paid within 10 days from the date of invoice.
If you pay within the discount period, say 6 days from the invoice date, instead of paying $100, you'll pay just $95 ($100 × 95%). Computed another way as, ($100 - ($100 × 5%)).