If your still using number blocks then it is 20 ones but if its just addition or so it is just 20
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.
Yes the sides are equal to each other
Answer:
0.75
Step-by-step explanation:
P(A | B) = P(A and B) / P(B)
P(vanilla | sundae) = P(vanilla and sundae) / P(sundae)
P(vanilla | sundae) = 0.15 / 0.2
P(vanilla | sundae) = 0.75
Answer:
x=30, <A=60, <C=30
Step-by-step explanation:
A triangle always has its total angles added up to 180 degrees, so we can set up the following equation:
90+2x+x=180
90+3x=180
3x=90
x=30
Since x=30, this means <C is 30 degrees. For <A, it's twice as much as <C, so 2*30=60.
So x=30, <A=60, <C=30
Hope this helped!
