Answer:
(-20, 19)
Step-by-step explanation:
We need to use the Midpoint Formula, which says that given two points
and
, the midpoint is
.
Here, we are given one of the endpoints and the midpoint:
endpoint S = (5, -8)
midpoint M = (-7.5, 5.5)
Plug these into the formula. In
, x1 = 5, and this whole expression is equal to -7.5:

Solve for x2:
5 + x2 = 2 * (-7.5) = -15
x2 = -15 - 5 = -20
Now, let's find y2. y1 is just -8, and the entire expression for the y-coordinate of the midpoint is equal to 5.5. So:

Solve for y2:
-8 + y2 = 2 * 5.5
-8 + y2 = 11
y2 = 11 + 8 = 19
The coordinates of T are thus (-20, 19).
<em>~ an aesthetics lover</em>
10 is not a perfect square I believe
Answer:
The formula to find the nth term of the given sequence is 54 · 
Step-by-step explanation:
The formula for nth term of an geometric progression is :

In this example, we have
= 36 (the first term in the sequence) and
r =
(the rate in which the sequence is changing).
Knowing what the values for r and
are, now we can solve.
=
= 54 · 
Therefore, the formula to find the nth term of the given sequence is
54 · 
Answer:
B. 11%
Step-by-step explanation:
Using the formula
Real rate of return = nominal rate - inflation rate
Note that the nominal rate of a business is the return on investment in a particular year.
Therefore if Josephine earned a 15% return on her investments last year, her nominal rate is also 15%
Since the inflation rate is 4%
Rate of return = 15%-4%
Rate of return = 11%