## anonymous 5 years ago 2) The population P in 1996 for a state is given along with r, its annual % rate of continuous growth P=8 Millions, r = 2.2% Estimate the population in 2017 = ?

1. anonymous

$P(t) = Po(1-r)^t$$P(t) = 8(1-0.022)^t$$P(t) = 8 (0.978)^t$$P(2017-1996) = 8(0.978)^{2017-1996}$

2. anonymous

so the population in 2017 is?

3. anonymous

you tell me ^^

4. anonymous

$8(0.978)^{21}$

5. anonymous

oh I see now

6. anonymous

1) In 2000 the population of a state was 4 million and growing continuously at a rate of 3.4% per year. Estimate the state’s population in 2005 = ?

7. anonymous

how would I do this one?

8. anonymous

same way... you have Po = 4 million, r = (3.4)/100 and t = 2005 - 2000

9. anonymous

so I would have 4(3.4/100)^5

10. anonymous

sorry i typed the fomula wrong instead of - it's +$P(t)=Po(1+r)^t$

11. anonymous

almost you'd have $P(t)=4(1+{3.4 \over 100})^5$

12. anonymous

don't forget to add 1 to the rate r

13. anonymous

oh ok thank you

14. anonymous

np