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.
This distance can be expressed as 3.84×
m.
What is distance with example?
- Distance is a scalar quantity.
- The distance of an object can be defined as the complete path travelled by an object.
Given the distance between the earth and the moon is 384000km
Representing in exponential notation,
=384000×1000m [∵1km=1000m]
=384×
m
=3.84×
m
Learn more about distance
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<u>The correct question is -</u>
The distance between the Earth and the moon is approximately 384000 km. this distance can be expressed as ____m.
3(2m + 9) - 1 = 2
6m + 27 - 1 = 2
6m + 26 = 2
6m = 2 - 26
6m = -24
m = -4
The answer is 25 I think sorry if it’s wrong :)
Answer:
2
Step-by-step explanation:
square have the same side length is the area is 4 you would have to find what number that you can multiply by itself twice (ex: 2x2) that gets you four the only number does that is 2