Answer:
Perimeter = 12+4pi
Area = 16+8pi
Step-by-step explanation:
Description of the assumed shape:
A rectangle 2 x 8 superimposed on a semi-circle of radius 4.
Perimeter:
P = 2+8+2+(4)(pi) = 12+4pi
Area :
A = 2*8 +(pi)4^2/2 = 16 + 8pi
Answer:
a. 30 percent.
Step-by-step explanation:
Given that:
The standard deviation of returns = 20 percent
Beta = 1.5
Beta=Standard deviation of portfolio × correlation/Standard deviation of market × Correlation
Since Correlation with the market will be +1;
Then;
The Standard deviation of portfolio = 1.5 × 20%
The Standard deviation of portfolio = 30.00%
If you have 5 pieces of something you split it up into 2 for each and then slip the last one into two.
Answer:
-1875
Step-by-step explanation:
An arithmetic sequence has a common difference as a sequence. Here the common differnece is -11.
So our sequence so far looks like,
(57,46,35,24....). We know the last term of the sequence is -207 and we need to find the nth term of that series so we use arithmetic sequence
where a1 is the inital value,
d is the common differnece and n is the nth term.
We need to find the nth term so
So the 25th term of a arithmetic sequence is last term, now we can use the sum of arithmetic sequence
which is
Answer:
m∠2 = 113º
m∠3 = 67º
Step-by-step explanation:
m∠2 is supplementary to m∠1, meaning if you add them to m∠1, you will get 180º.
m∠2 + m∠1 = 180º.
m∠2 + 67º = 180º
m∠2 = 113º
m∠1 and m∠3 are vertical angles and are therefore the same.
