Question

WILL GIVE BRAINLIEST IF YOUR RIGHT AND GIVE EXPLANATION!!!

Answer 1

Answer:

B. 1 852 000

Step-by-step explanation:

Population of the country on Jan 1, 2000 =  P

r = 2%

total duration = 4 years,  :  2000, 2001, 2002, 2003

If we take the compounding of the rate of growth :

        2, 000, 000 = P (1 + 2/100)^4  = P (1.02)^4

              P =  1, 847,691

If we take the growth of the population similar to simple interest of money deposits, then :

          2, 000, 000 = P + P * 2/100 * 4

            P = 2, 000, 000 / 1.08 = 1, 851, 852

     In this case the answer is B

Answer 2

Answer:

A. 1 846 000

Step-by-step explanation:

A population of size P increasing at the rate of 2% may be modelled as follows 

P = P0 e0.02 t , where t is the number of years after t = 0 and P0 is the population at t = 0. 

Let t = 0 corresponds to January 1, 2000 and therefore t = 4 corresponds to December 31. But P is 2,000,000 when t = 4. Hence 

2,000,000 = P0 e0.02*4

Solve the above for P0 

P0 = 2,000,000 / e0.02*4 = 1 846 000 (rounded to the nearest thousand) 

P0 is the population at t = 0 or on January 1, 2000.

A. is the correct answer

Hope this helped :)