Increase from 491,675 in the year 2000 to 782,341 in 2010.
A. The solution for the exponential growth rate, B. Write the exponential growth function and C What should the population be in 2016.
A. 782341/491675 = 1.5911750648294096710225250419484, or a growth rate of 59% over 10 years. So:(1+k)^10 = 1.5911750648294096710225250419484ln (1+k)^10 = ln 1.591175064829409671022525041948410 ln(1+k) = ln 1.5911750648294096710225250419484ln(1+k) = ln 1.5911750648294096710225250419484/10 = 0.04644727777645335179835425806392e^0.04644727777645335179835425806392 = 1+kk = 1.0475428488243655419718940009655, or 4.75428488243655419718940009655% growth rate per year.
B. Population year t = 491675 x (1.0475)^(t-2000)
C. Population in 2016 = 491675 x (1.0475)^16 = 1033100.64 people
Answer:
Jenkins: 25 hours Alexanders: 20 hours
Step-by-step explanation:
To solve this problem we need to set up two equations. We know the rates of each sprinkler's output and how much total water was output. We know how many hours the sprinklers were on. We are looking for how long each sprinkler was used.
We can make a represent hours because we know the rate of sprinkler's output is per hour.
25a+40b=1425
a+b=45
Now to solve this system of equations we need to isolate a variable on one equation to plug into the other.
a+b=45
a=45-b
Now we can plug this in for a in the other equation.
25a+40b=1425
25(45-b)+40b=1425
Distribute 25 into the parenthesis.
1125-25b+40b=1425
1125+15b=1425
15b=300
b=20
Now we know that the Alexander family used their sprinklers for 20 hours. We can plug this back into the other equation to find b.
a+b=45
a+20=45
a=25
The Jenkins used the sprinklers for 25 hours, and the Alexanders used them for 20 hours.
Answer:
22
Step-by-step explanation:
23x - 1
x = 1
23(1) - 1
23(1) = 23 * 1
23 * 1 = 23
23 - 1
23 - 1 = 22
22
False, it is on the horizontal.
