This means common members {10,40,60}
Step-by-step explanation:
-3-24x-36>-111
-39-24x>-111
-24x>-111+39
-24x>-72 /x(-1)
24x<72
x<2.66
Answer:
0.98
Step-by-step explanation:
The investment starts at $10,000.
$10,000 is 100% of the investment.
In the first year, it loses 2% of its value. That means that after 1 year, the value of 100% of $10,000 is decreased by 2% of $10,000.
100% - 2% = 98%
After the first year, the investment is worth 98% of the original value.
98% as a decimal is 0.98
Answer: 0.98
i. The Lagrangian is

with critical points whenever



- If
, then
. - If
, then
. - Either value of
found above requires that either
or
, so we get the same critical points as in the previous two cases.
We have
,
,
, and
, so
has a minimum value of 9 and a maximum value of 182.25.
ii. The Lagrangian is

with critical points whenever
(because we assume
)



- If
, then
. - If
, then
, and with
we have
.
We have
,
,
, and
. So
has a maximum value of 61 and a minimum value of -60.