Question

it is predicted that the population of a particular state will double every 25 years.
a) determine the annual and monthly growth rate. express your answer as percents.

b)determine the continuous growth rate per year. Express your answer as a percent.

Answer 1

is this that half life thing?

Answer 2

I'm not sure

Answer 3

Find half life on google and it might explain more.

Answer 4

If you start with 100 people, and you double every 25 yrs, then the formula is

P = 100*2^(t/25)

where the population is P at time t

When t = 1, we get

P = 100*2^(1/25)

P = 102.81138

So we've gone from 100 to 102.81138, which means the growth rate is

[(102.81138 - 100)/(100)] * 100 = 2.81138%

So the annual growth rate is 2.81138%

Answer 5

is the formula something like this:\[P(t)=P_0*2^(t/25)\]

Answer 6

yeah thats what i was doing

Answer 7

where do you learn this?

Answer 8

i already knew this lol ;P

Answer 9

im a smart lil girl lol

Answer 10

yes you are haha

Answer 11

lol :)

Answer 12

dont forget the pretty

Answer 13

lmao thank you!!! :)

Answer 14

you forgot to do the monthly growth rate? i got .231% what do you get?

Answer 15

instead of t = 1, plug in t = 1/12 (since there are 12 months in a year) and simplify

then compare that result with 100 to find the growth rate

Answer 16

i knw that smart little girl :) i got .23%

Answer 17

what about part "b" of the question?

Answer 18

yes .23% is fine.... hold on im getting to part B lol

Answer 19

i got 2.773% for part b but idk if I'm doing it right