Answer:
5 years
Step-by-step explanation:
Given that
The current population is 45,000
The rate of interest in declining would be 4.5% per year
The expected population is 35,746
We need to find out the no of years
Since the rate of interest decrease by 4.5% per year so after decreasing it the percentage would be 0.955
Now
Year 1 = 45,000 × 0.955 = 42,975
Year 2 = 42,975 × 0.955 = 41,041.125
Year 3 = 41,041.125 × 0.955 = 39,194.27
Year 4 = 39,194.27 × 0.955 = 37,430.53
Year 5 = 37,430.53 × 0.955 = 35,746.16
Hence, the no of years would be 5
