Answer:

Step-by-step explanation:
we know that
-----> by complementary angles
solve for x

Does not exist, since the graph of cosine is continuous between the intervals [-1,1]. You do not know where it will be when it “reaches” infinity
Answer:
4594.76 USD will be in the account on Burt's 18th birthday.
Step-by-step explanation:
Since interest rate is constant in time, we can use the definition of composite interest to determine how much money will be on Burt's 18th birthday, that is:
(1)
Where:
- Initial amount, measured in US dollars.
- Current amount, measured in US dollars.
- Annual interest rate, measured in percentage.
- Time, measured in years.
If we know that
,
and
, then the money in the savings account on Burt's 18th birthday is:


4594.76 USD will be in the account on Burt's 18th birthday.
Answer:
Step-by-step explanation:
The two sides add up to 12. If the third "side" of the triangle is 12, then 5 and 7 will lie horizontally on 12.
So the maximum value must be less than 12. What's the smallest x could be?
well 5 + something must be > than 7. If they are not larger than 7, then 5 and something will lie on 7 just as it did before. So how big is something?
5 + y > 7
5 - 5 + y > 7 - 5
y > 2
So the range is 2 < x < 12
How else could you write this?
2 < x
x < 12 is one way.