Answer:0.0121212121
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
f(x) = 2ˣ + 1
-f(x) = -(2ˣ) − 1
First, let's find the y-intercept.
-f(0) = -(2⁰) − 1 = -2
Only C can be correct.
Answer:
c
Step-by-step explanation:
When approaching 2 from the left, there is an open circle.
Also, the left part of the graph has a y-intercept of 2.
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.
