First, we need to set up our two equations. For the picture of this scenario, there is one length (L) and two widths (W) because the beach removes one of the lengths. We will have a perimeter equation and an area equation.
P = L + 2W
A = L * W
Now that we have our equations, we need to plug in what we know, which is the 40m of rope.
40 = L + 2W
A = L * W
Then, we need to solve for one of the variables in the perimeter equation. I will solve for L.
L = 40 - 2W
Now, we can substitute the value for L into L in the area equation and get a quadratic equation.
A = W(40 - 2W)
A = -2W^2 - 40W
The maximum area will occur where the derivative equals 0, or at the absolute value of the x-value of the vertex of the parabola.
V = -b/2a
V = 40/2(2) = 40/4 = 10
Derivative:
-4w - 40 = 0
-4w = 40
w = |-10| = 10
To find the other dimension, use the perimeter equation.
40 = L + 2(10)
40 = L + 20
L = 20m
Therefore, the dimensions of the area are 10m by 20m.
Hope this helps!
Answer:
$181
Step-by-step explanation:
Multiply 30.75 by 12 because there are 12 months in one year.
30.75 x 12 = 369
Then subtrcact 369 from 550 to get the net change.
550 - 369 = 181
Michael is left with an account balance of $181.
Answer:
The last one
Step-by-step explanation:
I am not sure but actually I think it's a logical solution.
Because the reflection in x axis which means rotating around x .
Kenilworth = 9
Total = 40
Divide 9 by 40 to get the probability
9 ÷ 40 = 9/40
Your answer is 9/40 (22.5%)
Hope this helps :)
Assuming that 3.5% is the increase in pay each week, she will get paid $248.40 each week.
You would find this in this manner : $240 * 3.5%
change the percent to a decimal 0.035 then multiply $240 by 0.035 that give you $8.40
add $8.40 to $240 = $248.40
