The Jazz are in a tough spot right now. They have a bunch of money to spend, but they have to do it wisely. In a few years, they will have the option of extending Burke for 4 years from now. That extension will start a year before the Favors and potentially Hayward contracts end. If they resign Hayward at 12, Kanter at 14, and Burks at 10, they will have 48 million tied up to 4 players. Assume Burke gets about 10 million per, that will be 58 million. They won't be able to stay under the cap, especially if they have a high pick this year it will probably be another 5-6 million for that player alone. I don't know what the salary cap will be, but I doubt it raises by more than 4-5 million. The Jazz would be over the salary cap with just 6 players.
Now if the Jazz could manage to get Hayward at 11, Kanter at 12, Burks at 8, and Burke at about 8 that saves them 7 million a year, and makes it more likely to keep all of them. If they are forced to pay the higher amount, then I don't see a way for them to keep everyone.
The real challenge the Jazz have will be when Favors, and likely Haywards contract ends. They will have likely 2 rookies from this years draft to extend, then they will have Hayward and Favors contracts end at the same time. If the Jazz are smart, they will be able to keep all the players together to make a run for the next 5 years, but at the end of that, they will have some decisions to make.