<h3>A manufacturer sells an item to an agency at a profit of 25%. The agency sells the item to a shopkeeper at 10% profit and shopkeeper sells the item at a profit of 20%. If the selling price of the item is $594, find the manufacturing price.</h3>
Answer: $360
Step-by-step explanation:
Let Mp the manufacturing price.
First step:
Manufacturer sells at a profit of 25% = Mp + Mp·0.25 = Mp·1.25
Second step:
Agency sells at a profit of 10% = 1.25Mp + 1.25Mp·0.10 = Mp·1.375
Third step:
Shopkeeper sells at a profit of 20% = 1.375Mp + 1.375Mp·0.20 = Mp·1.65
Then the final price = 1.65·Mp
1.65Mp = $594
Mp = $594/1.65 = $360 ►Manufacturer price
Answer: $360
Verification
Manufacturer sells at a profit of 25% = 25/100 = 0.25:
$360 + $360·0.25 = $360(1 + 0.25) = $360 + $90 = $450
Agency sells at a profit of 10% = 10/100 = 0.10:
$450 + $450·0.10 = $450(1 + 0.10) = $450 + $45 = $495
Shopkeeper sells at a profit of 20% = 20/100 = 0.20
$495 + $495·0.20 = $495(1 + 0.20) = $495 + $99 = $594 Checked!
A would be equal to 1 since a is equal to one already
Answer:
y = 4x.
Step-by-step explanation:
Each value of y is 4 times the value of x.
The domain of the function C(m) = 0.05m + 20 is (0, ∞) and the range of the function C(m) = 0.05m + 20 is (20, ∞).
<h3>What is the linear system?</h3>
A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.
Haley pays a monthly fee of $20 for her cell phone and then pays 5 cents per minute used. The total cost of Haley’s monthly cell phone bill can be expressed by the function
The domain of the function is from zero to infinity because time can never be negative.
Then the range of the function will be
At m = 0, the value of C(m) will be
C(m) = 0.05(0) + 20
C(m) = 20
At m = ∞, the value of C(m) will be
C(m) = 0.05(∞) + 20
C(m) = ∞
Thus, the domain of the function is (0, ∞) and the range of the function is (20, ∞).
More about the linear system link is given below.
brainly.com/question/20379472
Answer:
60cm
Step-by-step explanation:
Length of 1 side = 5cm [ A cube has 12 edges]
Length of 12 sides = 5*12
= 60cm
