Step-by-step explanation:
To do this we need to calculate the slope of each side. If we can show that the slopes of the opposite sides are the same, then the opposite sides are parallel. The slopes of the opposites were the same, so ABCD is a parallelogram.
$11.98 : 2 = 5,99 $
$24.95 : 5 = 4,99 $
Second company is better
This is the working of how it is 28% discount
Find the amount of discount : $125 - $90 = $35
Divide by the original price : $35/125 = 0.28
Change in to percentage : 0.28 x 100 = 28%
Therefore the percentage discount is 28% off
:)
Step-by-step explanation:
8.
Prime factorization of 48 is :
Option (3) is true.
9.
Prime factorization of 19 is:
19 = 19 × 1
Option (c) is correct.
(10).
Prime factorization of 924 is:
924 = 2 x 2 x 3 x 7 x 11
= 2² x 3¹ x 7¹ x 11¹
Hence, this is the required solution.
R(x) = 60x - 0.2x^2
The revenue is maximum when the derivative of R(x) = 0.
dR(x)/dx = 60 - 0.4x = 0
0.4x = 60
x = 60/0.4 = 150
Therefore, maximum revenue is 60(150) - 0.2(150)^2 = 9000 - 4500 = $4,500
Maximum revenue is $4,500 and the number of units is 150 units
