Question

A certain quantity grows exponentially over time. The initial quantity at t = 0 is 100. The quantity grows by a factor of 2.5%. What is the quantity at t = 5? A. 0.0000009766 B. 88.1096 C. 113.1408 D. 305.1758

Answer 1

the correct answer is c. hope this helped :)

Answer 2

T0 = 100

T1 = 100*1.025 = 102.5

T2 = 102.5 *1.025 = 105.0625

T3 = 105.0625 *1.025 = 107.689

T4 = 107.689 * 1.025 = 110.381

T5 = 110.381 * 1.025 = 113.1408

Answer is C