Answer:
D
Step-by-step explanation:
You have the correct answer.
Answer:
Step-by-step explanation
Perimeter of a rectangle =2(length +breadth)
90m = 2{(36x+2) + (2(x+2)}
Opening the inner brackets,
90 = 2{36x +2+2x +4}
90 = 2{38x +6}
Open the brackets
90 = 76x + 12
Collect like terms
90 - 12 = 76x
78=76x
Divide 78 by the coefficient of x
x = 78÷76
x =1.03m (2d.p)
Substitute the value of x into the expressions for the two sides of the rectangle
36x+2 =(36×1.03) +2= 37.08+2=39.08m
2(x+2)= 2(1.03+2)= 2(3.03) =2×3.03= 6.06m
The approximate values of the two sides of d rectangular field are 39.08m and 6.06m
Continue the slop until it hits the y axis and that point will be your y intercept
Answer:
$15
Step-by-step explanation:
The original price of the mirror is unknown, so let's call it x.
The discount on the original price is a 20% discount, so it is 20% of x, or 0.2x.
We are told the discount is $3, so 0.2x = 3. Now we solve the equation for x.
0.2x = 3
Divide both sides by 0.2.
x = 3/0.2
x = 15
The regular price is $15.
Answer:
160 units and $6400
Step-by-step explanation:
We have that the cost per x unit is: 20 * x + 0.25 * x ^ 2
the price per unit is 100, therefore revenue for each unit would be 100 * x
However:
profit = revenue - cost
p (x) = 100 * x - 20 * x - 0.25 * x ^ 2
for the maximum value profit we must derive and equal 0:
p '(x) = 100 - 20 - 0.5 * x
0 = 80 - 0.5 * x
0.5 * x = 80
x = 80 / 0.5
x = 160
Therefore, the maximum profit occurs when there are 160 units, replacing we have:
p (x) = 100 * 160 - 20 * 160 - 0.25 * 160 ^ 2
p (x) = 6400
that is to say that the $ 6400 is the maximum profit.
