Answer:
There are no vertical asympotes for this rational function.
Step-by-step explanation:
For rational functions, a vertical asymptote exists for every value of the independent variable such that function become undefined, that is, such that denominator is zero. Let be the following rational function:
, 
There is a vertical asymptote for this case:


Which is out of the interval given to the rational function. Hence, we conclude that there are no vertical asympotes for this rational function.
Answer:
5.59 times per second.
Step-by-step explanation:
Direct variation is in the form:

Where <em>k</em> is the constant of variation.
Inverse variation is in the form:

In the given problem, the frequency of a vibrating guitar string varies inversely as its length. In other words, using <em>f</em> for frequency and <em>l</em> for length:

We can solve for the constant of variation. We know that the frequency <em>f</em> is 4.3 when the length is 0.65 meters long. Thus:

Solve for <em>k: </em>
<em />
<em />
<em />
So, our equation becomes:

Then when the length is 0.5 meters, the frequency will be:

41 dollarsStep-by-step explanation:
Answer:
option B
Step-by-step explanation:
given,
3-month T-bill currently yields = 3%
customer price have been rising = 2% rate
Ai Lun's estimate of the real rate = ?
real rate return
= 
= 
= 
= 
= 0.0098
= 0.98 % ≅ 1 %
hence, the correct answer is option B