Answer:
63 m²
Step-by-step explanation:
The diagram shows a parallelogram.
Area
= 9 x 7
= 63 m²
Step-by-step explanation:
let us give all the quantities in the problem variable names.
x= amount in utility stock
y = amount in electronics stock
c = amount in bond
“The total amount of $200,000 need not be fully invested at any one time.”
becomes
x + y + c ≤ 200, 000,
Also
“The amount invested in the stocks cannot be more than half the total amount invested”
a + b ≤1/2 (total amount invested),
=1/2(x + y + c).
(x+y-c)/2≤0
“The amount invested in the utility stock cannot exceed $40,000”
a ≤ 40, 000
“The amount invested in the bond must be at least $70,000”
c ≥ 70, 000
Putting this all together, our linear optimization problem is:
Maximize z = 1.09x + 1.04y + 1.05c
subject to
x+ y+ c ≤ 200, 000
x/2 +y/2 -c/2 ≤ 0
≤ 40, 000,
c ≥ 70, 000
a ≥ 0, b ≥ 0, c ≥ 0.
Answer:
Ashley is making $570 a week
Step-by-step explanation:
500 + 20%= 600
600-5% =570
The volume formula for a cylinder is :
V= (pi)(r^2)(h)
So r= d/2 where d = 16mm so r= 8mm h is given as equaling 5.7mm
Now just plug it into the formula.
V=(pi)(8^2)(5.7) = 364.8 pi mm = 1146.053mm
4x^2+48x=20
4x^2+48x+144=164
(2x+12).(2x+12)= + 59rt(164)
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