Answer:
The area of rectangle is 98 ft.sq.
Step-by-step explanation:
We are given one length of a rectangular garden lies along a patio wall.
Let the width of garden be x
Length of garden = Twice its width=2x
Length garden enclosed by fencing =l+2b=2x+2x= 4x
We are given that the rest of the garden is enclosed by 28 feet of fencing.
So,4x=28
x=7
Width of garden = 7 feet
length of garden = 2x=2(7)=14 feet
Area of garden =
Hence The area of rectangle is 98 ft.sq.
Answer:
and
Step-by-step explanation:
The equation of curve is
We need to find the equation of the tangent line to the curve at the point (-3, 1).
Differentiate with respect to x.
The point of tangency is (-3,1). It means the slope of tangent is .
Substitute x=-3 and y=1 in the above equation.
Divide both sides by 130.
If a line passes through a points with slope m, then the point slope form of the line is
The slope of tangent line is and it passes through the point (-3,1). So, the equation of tangent is
Add 1 on both sides.
Therefore, and
.
a quick clarification and then some.
Profit is what's leftover after the cost is subtracted from the revenue, or namely, if you sell a product for some amount, say 10, and you sold 100 of those, so you made 10*100 or 1000, that's the revenue or the income coming in, however, in making the product you had to cover some expenses, like if it's clothing, well, you have to buy the garment and saw it, have premises and machines to make the clothing and so on, all that's expenses, and since it's out of pocket money, is Cost, if you subtract that Cost from the 1000 in Revenue, what's leftover, that surplus is Profit.
this company sells "p" units, each at $855, so their Revenue will just be 855p, expenses or Cost is a fixed amount of $6780, so the profit comes from their difference.
on a given month, they sold 250, namely p = 250, so their Revenue is just 250*855 = 213750 bucks, however, we need to remove the Costs of 6780, 213750 - 6780 = 206970, that's our Profit.
now, the CEO takes a bite of 15% of that