Answer:
The expression to find Carey's hourly rate is:
. Carey's hourly rate is $10.
Step-by-step explanation:
Anderson receives 1 more than half of carey's hourly rate. If we call Anderson's rate by "a" and Carey's by "c", we can express this phrase in the following equation:

We want to find the Carey's rate, therefore we need to isolate the "c" variable.

Since Anderson earns $6, then we can find Carey's rate:

Answer:
31 = x
Step-by-step explanation:
First multiply out
2x + 10 = 3x - 21
Now collect terms
10 + 21 = 3x - 2x
Simplify
31 = x
Answer:
m = 4
Step-by-step explanation:
The m in y= mx+b is the slope.
Answer:
Step-by-step explanation:
Let P be the population of the community
So the population of a community increase at a rate proportional to the number of people present at a time
That is
![\frac{dp}{dt} \propto p\\\\\frac{dp}{dt} =kp\\\\ [k \texttt {is constant}]\\\\\frac{dp}{dt} -kp =0](https://tex.z-dn.net/?f=%5Cfrac%7Bdp%7D%7Bdt%7D%20%5Cpropto%20p%5C%5C%5C%5C%5Cfrac%7Bdp%7D%7Bdt%7D%20%3Dkp%5C%5C%5C%5C%20%5Bk%20%5Ctexttt%20%7Bis%20constant%7D%5D%5C%5C%5C%5C%5Cfrac%7Bdp%7D%7Bdt%7D%20-kp%20%3D0)
Solve this equation we get

where p is the present population
p₀ is the initial population
If the initial population as doubled in 5 years
that is time t = 5 years
We get

Apply In on both side to get

Substitute
in
to get

Given that population of a community is 9000 at 3 years
substitute t = 3 in 

<h3>Therefore, the initial population is 5937.8</h3>