We need a pic of the line plot to complete and answer this
The dimensions that would result to maximum area will be found as follows:
let the length be x, the width will be 32-x
thus the area will be given by:
P(x)=x(32-x)=32x-x²
At maximum area:
dP'(x)=0
from the expression:
P'(x)=32-2x=0
solving for x
32=2x
x=16 inches
thus the dimensions that will result in maximum are is length=16 inches and width=16 inches
Answer:
Answer:
A. 2 sinx cosx - 1 + 2 sin^2 x.
Step-by-step explanation:
sin2x = 2 sinx cosx
cos2x = cos^2x - sin^2x
So sin2x - cos2x = 2 sinx cosx - ( cos^2x - sin^2x)
But cos^2 x = 1 - sin^2 x, so we have:
2 sinx cosx - (1 - sin^2 x - sin^2x)
= 2 sinx cosx - 1 + 2 sin^2 x.
<span>Let's say you wanted to earn a yield of 8%.
$210,000 x .31524 = $66, 200.4
+$10,500 x 8.55948 = $89, 874.54
Use the tables to find .31524 (which is 8% @ 15 periods for present value of 1) and 8.55948 (which is 8% @ 15 periods for present value of an ordinary annuity of 1)
You would pay a total of $156, 074.94</span>
