It is given in the question that
Suppose the supply function for product x is given by
And we have to find how much of product x is produced when px = $600 and pz = $60.
And for that, we have to substitute 600 for px and 60 for pz, and on doing so, we will get
And that's the required answer .
It is a drop, but by only 0.1%. It isn't a significant drop. The average city has a population of about 20,000 people. 10.5 percent of 20,000 is 2,100. 10.4 percent of 20,000 is 2,080. So, it really isn't a significant drop.
Even if a city had a much larger population, it would still be a very small drop compared to the overall population.
For this case we have a function of the form:
Where,
A: initial amount
b: growth rate (if b> 1)
n: time in hours
Substituting values we have:
We have then that the initial amount is:
If b = 1.85 then the growth percentage is:
Answer:
here were initially 20 bacteria.
The hourly percent growth rate of the bacteria would be 85%
In order to solve this, you have to set up a systems of linear equations.
Let's say that children = c and adults = a
30a + 12c = 19,080
a + c = 960
I'm going to show you how to solve this system of linear equations by substitution, the easiest way to solve in my opinion.
a + c = 960
- c - c
---------------------- ⇒ Step 1: Solve for either a or c in either equation.
a = 960 - c
20(960 - c)+ 12c = 19,080
19,200 - 20c + 12c = 19,080
19,200 - 8c = 19,080
- 19,200 - 19,200
---------------------------------- ⇒ Step 2: Substitute in the value you got for a or c
8c = -120 into the opposite equation.
------ ---------
8 8
c = -15
30a + 12(-15) = 19,080
30a - 180 = 19,080
+ 180 + 180
-------------------------------
30a = 19,260
------- -----------
30 30
a = 642
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I just realized that there can't be a negative amount of children, so I'm sorry if these results are all wrong.
