Its the last option because anything between 0 to 1 would he smaller than the original
This exponential growth/decay (in this case decay because r<1) of the form:
f=ir^t, f=final value, i=initial value, r=common ratio or "rate", t=time.
Since the population decreases by 4.5% each year the common ratio is:
r=(100-4.5)/100=0.955 so we can say
P(t)=8500(0.955^t)
....
7000=8500(0.955^t)
14/17=(955/1000)^t taking the natural log of both sides
ln(14/17)=t ln(955/1000)
t=ln(14/17)/ln(955/1000)
t≈4.22 years (to nearest hundredth of a year)
Since t is the years since 2010, the population will fall to 7000 in the year (2010+4.22=2014.22, more than four years will have elapsed) 2015.
It is the last one have a great day!
The graph of f(x) is shifted up by 5 units to get g(x)
<h3>How to compare the functions?</h3>
The functions are given as:
g(x) = x + 5
f(x) = x
Substitute f(x) = x in g(x) = x + 5
So, we have:
g(x) = f(x) + 5
The above means that the graph of f(x) is shifted up by 5 units to get g(x)
Read more about function transformation at:
brainly.com/question/13810353
#SPJ1
Answer:
1 65/76
Step-by-step explanation:
