Answer:
Step-by-step explanation:
Remember that
we know that
The sales from the previous month were $152,850
This amount represent the 100%
so
Find out what were last months sales, multiply the sales from the previous month by the factor 1.12
Answer:
Merry early Christmas to you too,have a great night!
Step-by-step explanation:
Answer:
64
Step-by-step explanation:
In each supply bag, Mrs. Wilson packed 3 rubber bands and 4 paper clips for her students.
Now, it is given that she had used 48 rubber bands.
Hence, there will be (48/3) =16 supply bags that had been used.
Now, in 16 supply bags, there will be (16×4) =64 paper clips.
Therefore, 64 paper clips that she had used. (Answer)
<span>12.3
Volume function: v(x) = ((18-x)(x-1)^2)/(4pi)
Since the perimeter of the piece of sheet metal is 36, the height of the tube created will be 36/2 - x = 18-x.
The volume of the tube will be the area of the cross section multiplied by the height. The area of the cross section will be pi r^2 and r will be (x-1)/(2pi). So the volume of the tube is
v(x) = (18-x)pi((x-1)/(2pi))^2
v(x) = (18-x)pi((x-1)^2/(4pi^2))
v(x) = ((18-x)(x-1)^2)/(4pi)
The maximum volume will happen when the value of the first derivative is zero. So calculate the first derivative:
v'(x) = (x-1)(3x - 37) / (4pi)
Convert to quadratic equation.
(3x^2 - 40x + 37)/(4pi) = 0
3/(4pi)x^2 - (10/pi)x + 37/(4pi) = 0
Now calculate the roots using the quadratic formula with a = 3/(4pi), b = -10/pi, and c = 37/(4pi)
The roots occur at x = 1 and x = 12 1/3. There are the points where the slope of the volume equation is zero. The root of 1 happens just as the volume of the tube is 0. So the root of 12 1/3 is the value you want where the volume of the tube is maximized. So the answer to the nearest tenth is 12.3</span>
The equation for slope is y=mx+b therefore your equation would be y=.5x+2 or y=1/2+2
both of these are correct just the matter of fact of what way your teacher wants you to use :)
