Material=wall+2*side and material is 40 ft so:
40=w+2s
w=40-2s
Area=ws, using w from above we get:
A=(40-2s)s
A=40s-2s^2
dA/ds=40-4s and d2A/ds2=-4
Since d2A/ds2 is a constant negative acceleration, when dA/ds=0, A(s) is at an absolute maximum.
dA/ds=0 when 4s=40, s=10 ft
And since w=40-2s, w=20 ft
So the dimensions of the pen are 20 ft by 10 ft, with the 20 ft side being opposite the wall. And the maximum possible area is thus 200 ft^2
Answer:
$395.61
Step-by-step explanation:
The formula for simple interest is:

Where
i is the interest amount
P is the principal amount
r is the rate of interest per time period
t is the time period
Here,
P = 4869
we want to find after 30 months, that converted to years is:
30/12 = 2.5 years
t = 2.5
The annual rate is 3.25% = 0.0325
Now, substituting, we find our answer:

The interest earned is <u>$395.61</u>
Answer:
the answer is 112
Step-by-step explanation:
901-789=112
Answer:
The width of the garden bed must be less than or equal to 4 feet.

Explanation:
Given that;
She has 20 feet of boards to make the sides.
The perimeter of the garden bed must not be more than 20 feet

Given;
The length is 6 feet;

To get the inequality for the width w, let us substitute the value of the length into the inequality above and simplify;

Therefore, the width of the garden bed must be less than or equal to 4 feet.
Answer:
x≠5
Step-by-step explanation:
An open circle means "less than" or "greater than", this means that anything is greater than or less than where the circle is placed. So, when an open circle is placed on a number line without any arrow, this means that that number is not equal to x.