81 inches converted to feet is 6.75 feet
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:
2(2n - 1)
Step-by-step explanation:
Let x = the number of books Theo has read
Then 4x = four times the number of books Theo has read.
And 4n - 2 = 2 less than four times the number of books Theo has read
But 4n -2 = the number of books Maya has read
Factor the expression
4n - 2 = 2(2n - 1)
The factored expression is 2(2n - 1).
