Answer:
net income is $48452.81
Step-by-step explanation:
Sales =$147500
subtract operating expenses
-$75500 =$72000
subtract non- operating costs
depreciation -$10200 =$61800
-interest expense payable (16500*7,23%)$1196.25=63603.75
from profit before tax deduct income taxes =63603.75*25%=15150.9375
Net Income is therefore $63603.75-$15150.9375 = $48452.81
Answer:
The values of sin θ and cos θ represent the legs of a right triangle with a hypotenuse of 1; therefore, solving for cos θ finds the unknown leg, and then all other trigonometric values can be found.
Answer:
The measure of angle K is 118°
Step-by-step explanation:
The sum of the internal angles of a quadrilateral is 360°. So, in this case, we can formulate the following equation:
K + L + M + J = 360°
Where K, L, M, and J represent the measure of the angle K, L, M and J respectively.
From the figure we know that: L is 46°, M is 118° and J is 78°. Replacing these values on the initial equation and solving for K we get:
K + 46° + 118° + 78° = 360°
K + 242° = 360°
K = 360° - 242°
K = 118°
So, the measure of angle K is 118°
Hope this helps :)
Answer:
49, 49 , 98
Step-by-step explanation:
AC = AB + BC = 2AB
- 3x - 31 = 2(x+6)
- 3x - 31 = 2x + 12
- 3x - 2x = 12 +31
- x = 43
AB= BC = x + 6 = 43 + 6 = 49
AC = 2AB = 2* 49 = 98
Answer:
The given point is a solution to the given system of inequalities.
Step-by-step explanation:
Again, we can substitute the coordinates of the given point into the system of inequalities. We know that the x-coordinate and y-coordinate of 
are 
and 
, respectively.
Plugging these values into the first inequality, 
, gives us 
, which simplifies to 
. This is a true statement, so the given point satisfies the first inequality. We still need to check if it satisfies the second inequality though, because if it doesn't, it won't be a solution to the system.
Plugging the coordinates into the second inequality, 
, gives us 
, which simplifies to 
. This is also a true statement, so the given point satisfies the second inequality as well. Therefore, 
is a solution to the given system of inequalities since it satisfies all of the inequalities in the system. Hope this helps!
