Cost price per bottle of juice = $1.10
Selling price per bottle of juice = $2.50
Profit per bottle of juice = $2.50 - $1.10 = $ 1.40
Let B be the number of bottles needed to sell in one day in order to equal its daily costs.
$1200 = $1.40B
857.14285714285714 = B
858 = B (round off to the nearest bottle)
The company must sell 858 bottles of juice in one day in order to equal its daily cost.
Hope this helps! =)
It would be 6/21 but simplified it would be 2/7
Use Stokes' theorem for both parts, which equates the surface integral of the curl to the line integral along the surface's boundary.
a. The boundary of the hemisphere is the circle
in the plane
, where the curl is
. Green's theorem applies here, so that

which means the value of the line integral is 3 times the area of the circle, or
.
b. The closed sphere has no boundary, so by Stokes' theorem the integral is 0.
He walked the same distance to school and back home.
I hope this helped! :-)