The population of Ghana was 26,786,000 in the year 2015 and is expected to continue its population growth rate of 2.3% per year annual compounding. write a function showing population at 50 million.

Answer 1

I suppose you meant to ask for the time it takes for the population to increase from 26,786,000 to 50,000,000. The equation is

p(t) = 26,786,000 (1.023)^t

where t is the number of years elapsed since the population was 26,786,000. To find time to 50,000,000 set p(t) equal to 50,000,000 and solve for t.

50,000,000 = 26,786,000 (1.023)^t ⇒

log(50,000,000 / 26,786,000) = t log(1.023)

You should be able to finish from here. Use any base for the logs, as long as it is the same in both places.