The rabbit population in a forest area grows at the rate of 6% monthly. if there are currently 260 rabbits, find how many rabbits (rounded to the nearest whole number) should be expected twelve months from now? (assume continuous compounding exponential growth).

For this case we have a function of the form:

Where,

A: initial population of rabbits

b: growth rate

x: time in months

Substituting values we have:

For the month number 12 we have:

Rounding to the nearest whole number we have:

For month number 12, the approximate population of rabbits is:

step- i d k and i d c : )

you: : 0

bye

x =-.20752

step-by-step explanation:

4^(x+2)=12

4^(x+2)=12

take the log base 4 on each side

log 4 (4^(x+2) = log 4(12)

we know log b(a^y) = y log b (a)

(x+2) log 4(4) = log 4 (12)

x+2 = log 4 (12)

we know   logb c = loga c/loga b

we want to convert to base 10   so a = 10

by default, we do not write the 10   c = 4   and b = 10

log4 10 = log 12/log 4

log4 10 = log 12/ log 4

x+2 = log 12/ log 4

subtract 2 from each side

x +2 -2 = log 12/ log 4 -2

x = 1.79248125 -2

x =-.20752