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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

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Mohammed R. | Specialist in GED and College Prep MathSpecialist in GED and College Prep Math
7
Check Marked as Best Answer
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
Mark M. | Mathematics Teacher - NCLB Highly QualifiedMathematics Teacher - NCLB Highly Qualif...
4.9 4.9 (173 lesson ratings) (173)
0
A = a0(r)t
A = 6486915022(1.014)19
A ≈ 6486915022(1.30233029995)
A ≈ ?