Question

TASK 3= 50 POINTSSS

Answer 1

$After \: 1 \: year:25400 + 25400 \times 11\% = 25400 + 25400 \times 0.11 = 25400(1 + 0.11) = 25400 \times 1.11 \\ After \: 2 \: year:25400 \times {1.11}^{2} \\ After \: x \: year:25400 \times {1.11}^{x} \\ We\: have\: an\: inequality:25400 \times {1.11}^{x} > 501170 \\ \Leftrightarrow {1.11}^{x} > \frac{50117}{2540}\\ \Leftrightarrow x > \log _{1.11}(\frac{50117}{2540}) \\ \Leftrightarrow x>29\\\Rightarrow After\: 29\: years$