A new savings account is opened with $400 and gains 3% every year. What is the value of the account at 32 years?

y=2x−1 5x−4y=1 is (1,1)(1,1) a solution of the system?

Tom says that he needs 6 rolls to obtain each possible outcome on a 6-sided die. on the fourth roll, he rolls his second "3”. tom says that the die is loaded and that each outcome is not equally likely. is tom correct here? if you think tom is incorrect, how many rolls should tom make until he sees each number occurring about 1/6 of the time?

Priya mixes 2 1/2 cups of water with 1/3 cup of orange juice concentrate. diego mixed 1 2/3 cups of water with 1/4 cup orange juice concentrate. how much concentrate should each of them mix with 100 cups of water to make juice that tastes the same as their original recipe? explain or show your reasoning.