Answer:
0.3 x 91.3
3/10 x÷ 913/10 =
1/10 x (3x+913)
Step-by-step explanation:
The average rate of a function f(x) over an interval x = a and x = b is given by:
Given the function
The average rate of change from x = 1 to x = 2 is given by:
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.
Answer:
1. 3/5=60%
2. 4 remaining in the bag
3. 2 marbles remain in the bag
4. 2/4=1/2=50%
