Answer:
27
Step-by-step explanation:
Answer:
Prove set equality by showing that for any element
,
if and only if
.
Example:
.
.
.
.
.
Step-by-step explanation:
Proof for
for any element
:
Assume that
. Thus,
and
.
Since
, either
or
(or both.)
- If
, then combined with
,
. - Similarly, if
, then combined with
,
.
Thus, either
or
(or both.)
Therefore,
as required.
Proof for
:
Assume that
. Thus, either
or
(or both.)
- If
, then
and
. Notice that
since the contrapositive of that statement,
, is true. Therefore,
and thus
. - Otherwise, if
, then
and
. Similarly,
implies
. Therefore,
.
Either way,
.
Therefore,
implies
, as required.
Answer:
Polygon Name
Number of Interior Angles
Sum of Interior Angles = (n-2) x 180°
Triangle
3
180°
Quadrilateral
4
360°
<u><em> Pentagon </em></u>
<u><em> 5 </em></u>
<u><em> 540° </em></u>
Hexagon
6
720°
Step-by-step explanation:
Answer:
$125.97
Step-by-step explanation:
To answer this question, simply plug the known values into the equation. We know that 100 is the principal (starting amount), 0.08 is the interest rate as a decimal, and t is 3 years.
Now plug in all those values to the given formula: B = p(1 + r)^t
Solve, and you end up with $125.9712, rounded to $125.97