A town has a population of 100,000. Its rate increases 8% every 4 months. Find the population after 5 years.

Question

step by step please solution please :)

Answer 1

A(t) = 100000(1.08)^60/4 5 yrs. = 60 months

A(t) = 100000(1.08)¹⁵

A(t) ≈ 100000(3.172169114)

A(t) ≈ 317216.9114

Answer 2

When you add 8% to something, you now have 108%, right? Every 4 months, you get 108% of the previous count 4 months ago.

100,000(1.08) = 108,000 after 4 months.

100,000(1.08)(1.08) = 116,640 after 8 months

5 years = 60 months, and 60/4 = 15 times the population will grow by 8%.

100,000(1.08)¹⁵ = 317,217