Since there are a total of 4,200 residents and the question is asking for the amount in the south region, take the distribution number from the chart, 0.16, and multiply it by 4,200.
4200 ×.16 = 672
672 residents
C(x) = 400 + 20x - 0.2x²
c(30) = 400 + 20(30) - 0.2(30)²
= 400 + 600 - 0.2(900)
= 1000 - 180
= 820
It costs $820 when 30 radios are produced.
Marginal cost is how much it would cost to make one MORE of the same product so now we find how much it costs to produce 31 radios and compare the two.
c(31) = 400 + 20(31) - 0.2(31)²
= 400 + 620 - 0.2(961)
= 1020 - 192.2
= 827.8 or ≈828.
Now we find the difference which means we subtract the two.
828 - 820 = 8.
Your marginal cost is $8.
To compare we can also do 29 radios.
c(29) = 400 + 20(29) - 0.2(29)² = 811.8 or ≈812
820 - 812 = 8.
of
is 
Solution:
Given
of what number is
.
Let us first convert the mixed fraction into improper fraction.


Now, let us take the unknown number be x.


Do the cross multiplication.



Now, again change the improper fraction into mixed fraction.

Hence
of
is
.
Answer:
Let's Find it!
Step-by-step explanation:
So let's use the formula for the volume of a cone:

So there you go!(you could also plug the things in google but thats okay)
Hope this Helps!
P.S. Stay Safe!
Answer:
C = 8
Step-by-step explanation:
Rearrange the equation to make C the subject.
C - 12 = -4
Add 12 to both sides.
C - 12 + 12 = -4 + 12
C = -4 + 12
C = 8
Check it:
C = 8
So substitute the new found value into the original equation:
C - 12 = -4
8 - 12 = -4
-4 = -4
All good.