Question

Medal for the best answer please!

Answer 1

What is your question?

Answer 2

On January 1, 2010, chessville has a population of 50,000 people. Chessville then enter a period of population growth. Its population increases 7% each year. On the same day, Checkersville has a population of 70,000 people.
Checkerville starts to experience a population decline. Its population decreases by 4% each year. During what year will the population of chessville first exceed that of checkersville? Show all of your work and explain your steps.

• What function models the situation?
• How can you find the year that one population will surpass another?

Answer 3

anyway, you can't use exponential growth and decay here because it implies continuous compounding
e.07=1.0725≠1.07

so its not same as growing at 7% per year
solve following inequality:
50,000(1.07)t>70,000(.96)t

(1.07.96)t>70,00050,000

log(1.07.96)t>log(75)

t>log(75)log(1.07.96)

t>3.1