the population of the world, as of august 12, 2000, was estimated by the U.S. Census bureau to be about 5.779 billion people and growing at a rate of 1.38%.

a. what was the population on august 12, 1800?

b. what should the population be today, april 15, 2011?

c. when will the population be 6.5 billion?

Question

the population of the world, as of august 12, 2000, was estimated by the U.S. Census bureau to be about 5.779 billion people and growing at a rate of 1.38%.

a.  what was the population on august 12, 1800?

b.  what should the population be today, april 15, 2011?

c.  when will the population be 6.5 billion?

anonymous · Answer

does anyone know how to do this. i am soo confused

dumbcow · Answer

$$P _{t} =P _{0}(1+r)^{t}$$
r = growth rate = .0138

For A) setup would be 
$$5.779=P _{0}(1.0138)^{200}$$
solve for P

anonymous · Answer

do you divide the side next to p to the 5.779

dumbcow · Answer

yes

anonymous · Answer

where did the 200 come from

dumbcow · Answer

the number of years from 1800 to 2000

anonymous · Answer

ok

anonymous · Answer

do you know how to do the other 2

dumbcow · Answer

B)
$$P _{t}=5.779(1.0138)^{10.67}$$
10.67 is aPPROXIMATELY NUM OF years since august 2000

C)
$$6.5 = 5.779(1.0138)^{t}$$
solve for t using logs

anonymous · Answer

ok thanks

dumbcow · Answer

your welcome