A country's population in 1993 was 83 million in 2001 it was 87 million. estimate the population in 2004 using the exponential growth formula.

Question

Phelps

Mathematics

11 February, 03:25

A country's population in 1993 was 83 million in 2001 it was 87 million. estimate the population in 2004 using the exponential growth formula.

+1

Answers (1)

Know the Answer?

Reid Travis · Answer 1

First find the rate of growth r

A=p e^rt

A 87 million

P 83 million

E constant

T time 2,001-1,993=8 years

87=83e^8r

Solve for r

R = (log (87:83) : log (e)) : 8

R=0.0059

Now the population in 2004

A=pe^rt

T 2,004-1,993=11 years

A=83*e^ (0.0059*11)

A=89 million