Search
Ask a question
8 0

I don't understand

One estimate of the population of the world on January 1,2005 is 6,486,915,022. The pop. is estimated to be increasing at the rate of 1.4% per year. At this rate, what will the population of the world be on January 1, 2024? A. 9,086,227,907 B. 7,395,083,125 C. 8,448,105,986 D. 8,212,434,418

Tutors, please sign in to answer this question.

2 Answers

Let,
     P= Population on January 1,2005 = 6,486,915,022
     Rate= 1.4% = 1.4/100 = 0.014
In a year the population will be, (P+0.014P) = P(1+0.014) = P*1.014.
The working formula for this problem is
Pn = P*(1.014)n
Where n= number of years = (2024-2005) = 19
So,
    P19 = 6,486,915,022*(1.014)19
          = 6,486,915,022* 1.30233029
          = 8448105986.35077215
          = 8448105986 (round it off)
Hence, the correct answer is C. 8,448,105,986
A = a0(r)t
A = 6486915022(1.014)19
A ≈ 6486915022(1.30233029995)
A ≈ ?