Answer:
they need 25 more signatures to get their idea carried out
Step-by-step explanation: 25% of 426 is 107 and 107 minus 82 is 25
Answer:
A
Step-by-step explanation:
Answer:
The slope is 4
Step-by-step explanation:
First we pick 2 points (x, y):
(0, -2) and (1, 2)
Then, we use the slope (m) formula:
m = (y2 - y1)/(x2 - x1)
Given:
y2 = 2
y1 = -2
x2 = 1
x1 = 0
Work:
m = (y2 - y1)/(x2 - x1)
m = (2 + 2)/(1 - 0)
m = 4/1
m = 4
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.
