answer:Tara's bank account earns 10% interest annually, so after one year, she will have 90 + (90 * 10/100) = 90 + 9 = 99 Therefore, Tara will have 99 in her bank account after one year. 99 The answer is: 99

answer:We want to find the units digit of F_{1000} = 2^{2^{1000}} + 1. First, we look for a pattern in the units digits of the powers of 2: 2^1 = 2, 2^2 = 4, 2^3 = 8, 2^4 = 16, 2^5 = 32, 2^6 = 64, 2^7 = 128, 2^8 = 256, 2^9 = 512, 2^{10} = 1024, 2^{11} = 2048, 2^{12} = 4096, ... We notice that the units digit of the powers of 2 repeats every 4 powers: 2, 4, 8, 6, 2, 4, 8, 6, ... Since 2^{1000} is a multiple of 4, the units digit of 2^{2^{1000}} is 6. Therefore, the units digit of F_{1000} is 6 + 1 = boxed{7}. The answer is: 7

answer:Victoria bought 2 boxes of pizza that cost 12 each, so she spent 2 * 12 = <<2*12=24>>24 on pizza. She also bought 2 packs of juice drinks that cost 2 each, so she spent 2 * 2 = <<2*2=4>>4 on juice drinks. In total, Victoria spent 24 + 4 = <<24+4=28>>28 on snacks. Victoria was given a 50 bill by her mother, so she should return 50 - 28 = <<50-28=22>>22 to her mother. 22 The answer is: 22

answer:In base 9, the number is 9A + B. In base 7, the number is 7B + A. Setting these two expressions equal, we have 9A + B = 7B + A. Simplifying, we get 8A = 6B, or 4A = 3B. Since A and B are both digits, the only possible solution is A = 3 and B = 4. Therefore, the integer expressed in base 10 is 9A + B = 9(3) + 4 = boxed{31}. The answer is: 31