Answer:
The laspeyres method of weighted aggregate price index is used of LIFO inventory valuation, therefore laspeyres index number is 106.08
Step-by-step explanation:
First of all we would have to perform the following table:
Product Ending Inventory(Q0) Begining(P0) Ending(P1) P0×Q0 P1×Q0
A 500 0.15 0.21 75 105
B 50 1.60 1.80 80 90
C 100 4.50 4.20 450 420
D 40 12.00 13.40 480 536
Total 1085 1151
Therefore, using laspeyres index number, we calculate the following:
laspeyres index number=(∑P1×Q0/∑P0×Q0)×100
laspeyres index number=(1151/1085)×100
laspeyres index number=106.08
Answer: 91
Step-by-step explanation:
Given : The number of documentaries = 5
The number of comedies = 7
The number of mysteries = 4
The number of horror films =5
The total number of movies other than comedy = 14
Now, the number of possible combinations of 9 movies can he rent if he wants all 7 comedies is given by :-

Therefore, the number of possible combinations of 9 movies can he rent if he wants all 7 comedies is 91 .
Steps:
1. Multiply the first line by 3 and the second by 2
3(3x + 2y= 4)
2(8x -3y=-6)
2. New lines are
9x + 6y= 12
16x + -6y=-12
3. Now add/subtract them
25x + 0= 0
25x=0
4. Divide by 25
X=0
5. To find y, substitute the 0 in the x in one of the equations
9x + 6y= 12
9(0) + 6y= 12
6y= 12
6. Divide by 6, your Y=2
7. X=0, Y=2
Answer:
Types of polygon
Polygons can be regular or irregular. If the angles are all equal and all the sides are equal length it is a regular polygon.
Regular and irregular polygons
Interior angles of polygons
To find the sum of interior angles in a polygon divide the polygon into triangles.
Irregular pentagons
The sum of interior angles in a triangle is 180°. To find the sum of interior angles of a polygon, multiply the number of triangles in the polygon by 180°.
Example
Calculate the sum of interior angles in a pentagon.
A pentagon contains 3 triangles. The sum of the interior angles is:
180 * 3 = 540
The number of triangles in each polygon is two less than the number of sides.
The formula for calculating the sum of interior angles is:
(n - 2) * 180 (where n is the number of sides)