Answer:

Step-by-step explanation:

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.
The magnitude of YZ is 8.6
<u>Explanation:</u>
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Y( -4, 12)
Z ( 1, 19)
Magnitude of YZ = ?
We know:

On substituting the value we get:

Thus, the magnitude of YZ is 8.6
The gcf is 3 the lcm is 48 :^)
Answer:
y = x + 6
Step-by-step explanation:
The y-intercept is (0, 6). This is where the line crosses the y-axis.
The slope is 4/4, or 1: m = 1
The equation of the line is therefore y = x + 6