Question

The Asian elephant is an endangered species with a current population of 45,000. This species is said to be experinceing a decline of 4.5% per year. After how many years should we expect the Asian elephant poputation ot be approximately 35,746?

Answer 1

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