Angles D and F are supplementary, so
.. (19x -26) +(7x -2) = 180
.. 26x = 208
.. x = 208/26 = 8
∠EFG = (7x -2)° = (7*8 -2)° = 54°
Selection C is appropriate.
Answer: 352
Step-by-step explanation:
Answer:
A.
2 72 square root of 7
Step-by-step explanation:
Combine the fractions by finding a common denominator.
Exact Form:
2
7
Decimal Form:
0.
¯¯¯¯¯¯¯¯¯¯¯¯
285714
Simplify the expression.
Exact Form:
2
√
7
Decimal Form:
5.29150262
…
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.
