Answer:
the answer is an obtuse triangle
Robert is purchasing shirts for his weekend soccer team. The shirts he wants to buy are normally $11 each but are on sale for $9
2 answers:
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Answer:
As per the properties of parallel lines and interior alternate angles postulate, we can prove that:
Step-by-step explanation:
<u>Given:</u>
Line y || z
i.e. y is parallel to z.
<u>To Prove:</u>
<u>Solution:</u>
It is given that the lines y and z are parallel to each other.
are <em>interior alternate angles </em>because lines y and z are parallel and one line AC cuts them.
So, ..... (1)
Similarly,
are <em>interior alternate angles </em>because lines y and z are parallel and one line AB cuts them.
So, ...... (2)
Now, we know that the line y is a straight line and A is one point on it.
Sum of all the angles on one side of a line on a point is always equal to .
i.e.
Using equations (1) and (2):
We can see that:
<em>Hence proved.</em>
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Answer:
3.65% monthly
Step-by-step explanation:
The same amount is invested for the same period in all accounts, so we only need to determine the effective annual rate in order to compare the accounts.
For compounding annual rate r n times per year, the effective annual rate is ...
(1 +r/n)^n -1
For the same rate r, larger values of n cause effective rate to be higher. As a consequence, we know that 3.65% compounded quarterly will not have as great a yield as 3.65% compounded monthly. The effective rate for the monthly compounding is ...
(1 +0.0365/12)^12 -1 = 3.712%
The effective rate for continuous compounding is ...
e^r -1
For a continuously compounded rate of 3.6%, the effective annual rate is ...
e^0.036 -1 = 3.666%
This tells us the best yield is in the account bearing 3.65% compounded monthly.
_____
If i is the effective annual rate of interest as computed by the methods above, then the 10-year account balance will be ...
10000×(1 +i)^10
This is the formula used in the spreadsheet to calculate the balances shown.
