Answer:
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Answer:
Let C be the cost price of the article. Then:
C(1+30%)=marked price
So:
C(1+30%)=C(1.3)
=1.3C
If the article is then marked down 35%, then its’ price would be:
1.3C(1–35%)=1.3C(.65)
=0.845 or 84.5% of its’ cost
Then:
0.845–1=-0.155
or, a 15.5% loss on the item
Answer:
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Step-by-step explanation:
Let the lengths of the sides of the rectangle be x and y. Then A(Area) = xy and 2(x+y)=300. You can use substitution to make one equation that gives A in terms of either x or y instead of both.
2(x+y) = 300
x+y = 150
y = 150-x
A=x(150-x) <--(substitution)
The resulting equation is a quadratic equation that is concave down, so it has an absolute maximum. The x value of this maximum is going to be halfway between the zeroes of the function. The zeroes of the function can be found by setting A equal to 0:
0=x(150-x)
x=0, 150
So halfway between the zeroes is 75. Plug this into the quadratic equation to find the maximum area.
A=75(150-75)
A=75*75
A=5625
So the maximum area that can be enclosed is 5625 square feet.
Answer:
$3.03
Step-by-step explanation:
7x + $3.60 = $24.81
Subtract $3.60 from both sides of the equation:
7x + $3.60 - $3.60 = $24.81 - $3.60
7x = $24.81 - $3.60
7x = $21.21
Divide each side by 7:
(7x/7) = ($21.21/7)
x = ($21.21/7)
x = $3.03
