Answer:
8,588 people
Step-by-step explanation:
We can represent this exponential decay as [tex]P=10000(0.97)^n[/tex] where [tex]n[/tex] is the number of years later:
[tex]P=10000(0.97)^n\\\\P=10000(0.97)^5\\\\P=10000(0.8587340257)\\\\P=8587.340257\\\\P\approx8588[/tex]
Therefore, the population 5 years later will be 8,588 people
Step-by-step explanation:
Ok so after the first year we expect the population to reach 97% of it's initial population.
So 97% of 10 000 can be written as:
97/100 ×10 000=0.97×10 000=9 700
After the second year we expect the population to drop to 97% of the first year's population
So, it can be said that:
0.97×9700= 9409
Similarly after year 3,
0.97× 9409= 9126.73
Year 4,
0.97× 9126.72= 8852.9281
Year 5,
0.97× 8852.9281=8587 rounded to the nearest number
The new population would be 8587
