A country’s population in 1992 was 50 million. In 2992 it was 53 million. Estimate the population in 2010 using the exponential growth formula. Round your answer to the nearest formula.

Respuesta :

Answer:

P ≈ 56 million

Step-by-step explanation:

Your question is attached in the picture below.

The exponential formula for these cases is

P = Po*e^(kt)

Where,

Po = initial population

k = is a constant used to define the growth rate

t = time transcurred since the time of the initial population

For this exercise,

Po = 50 million

Year 2002

2002 - 1992 = 10

53 million = 50 million *e^(k*10)

(53/50) = e^(k*10)

k*10 = ln(53/50)

k = 0.005827

The equation results

P = 50 million *e^(0.005827*t)

Year 2010

2010-1992 = 18

P = 50 million *e^(0.005827*18)

P = 50 million *(1.11058)

P = 55.53 million

P ≈ 56 million

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Answer:

the answer is 56 just got it right

if you need population in 2010

Step-by-step explanation: