Answer:
17.8 years
Step-by-step explanation:
To find the population in a future year, use the formula:
[tex]A = P (1+/-r)^t[/tex]
where A is the amount, p is the starting population, r is 6% or 0.06, and t is the number of years.
Since the population is decreasing it is subtraction. Here we are finding t, A=1 P =3, and r=0.06.
[tex]A = P (1-r)^t\\1 = 3 (1-0.06)^t\\1=3(0.94)^t\\1/3=(0.94)^t\\log 1/3=t* log (0.94)\\t=\frac{log {\frac{1}{3}}}{log 0.94}\\t=17.755[/tex]
