Answer:
$1,200
Step-by-step explanation:
Data provided in the question:
R'(x)= -0.1x + 40
now,
Revenue function = ∫R'(x)= ∫(-0.1x + 40)
or
R(x) =
here, c is the integration constant
also,
at x = 0, Revenue R = 0
thus,
0 =
or
c = 0
therefore,
we get the revenue function as;
R(x) =
a) For x = 230 units
R(230) =
or
R(230) = - 2645 + 9200 = $6,555
b) R(330) =
or
R(330) = -5445 + 13,200 = $7,755
Hence,
the addition evenue realized when the production (and sales) level is increased from 230 to 330 units
= $7,755 - $6,555
= $1,200
5x² + |x+1| > 0
5x² + x + 1 > 0
x+1 > 0 because it came from absolute
5x² > 0 because it’s squared
When you try a number you should put it in the original equality
5x² + |x+1|
Convert the mixed number into a decimal and multiply on a calculator (or by hand).
Answer: he spent 192 minutes at the farm
Step-by-step explanation:
one hour is equal to 60 minutes and as he spent 3 hours in the farm so
3x60=180
and then an additional 12 minutes
180+12+= 192
192 minutes
The perimeter would be 18.
Look at the attached sample figure. Since the interior is to be a square, we know that BC=CE=EF=FB. We know that BF=3, so the other sides, BC, CE and EF must be 3 as well.
We know that the two triangles formed are equilateral; thus CD=DE=EC. We know from earlier that EC=3; therefore CD=3 and DE=3.
We have a similar situation with the other triangle. AB=BF=FA; we know that BF=3, so AB=3 and FA=3.
This means all 6 sides are 3, so the perimeter would be 6(3)=18 cm.