Answer: 1115
Explanation:
From the question, we've been told that 500 people who will sign up immediately and membership can grow by 26 percent in the first two years. This means that the number of people at the ending of the 2nd year will be:
= 500 × (1 + 26%)^2
= 500 × (1.26)^2
= 500 × 1.5876
= 793.8
The number of people that will be expected at the end of 3rd year will be:
= 793.8 × (1 + growth rate)
= 793.8 × (1 + 19%)
= 793.8 × (1 + 0.19)
= 793.8 × 1.19
= 944.622
The number of people that will be expected at the end of 4th year will be:
= 944.622 × (1 + 18%)
= 944.622 × (1 + 0.18)
= 944.622 × 1.18
= 1114.654
= 1115 approximately
At the end of four years, 1115 members are expected.