Please see attached image for the graph.
a.
Yes, it is mathematically possible because the
degree of vertices for P=3, T=3, M=2, C=4, and R=2 and in Euler’s theorem, the
graph has to be connected, which in this case it is and the number of vertices
in the graph whose vertices is odd, is 0 or 2. And in this case, we have 2 that
have a degree of vertices that are odd, therefore mathematically this is
possible for the driver. The route would be P > R > C > M > T > C
> P > T.
b.
<span>It is mathematically possible. The router would be P
> C > R > T > M > C > T. Essentially, you travel each road
once.
</span>
c.
The driver would use a Hamiltonian circuit. The route
would be J > R > A > C > V > M > T > P > J.
Given:
The function is
To find:
The inverse of the given function.
Solution:
We have,
Put f(x)=y.
Interchange x and y.
Isolate the variable y.
Putting 
, we get
For 
,
It means for function and for inverse function 
because the range of the function is the domain of inverse function.
Therefore, for .
It would be 3.5! Hope this helps and good luck!
The value of the investment in 5 years is $5805.9
<h3>What is Interest ?</h3>
Interest is the amount earned over years for the amount invested.
It is given that
Principal = $5000
Rate = 3%
Compounded Quarterly
Time = 5 years
Amount = ?
The Amount is given by the formula
Amount = P( 1 + (r/n))ⁿˣ
Here n = t = time period for which the investment has been done.
Amount = 5000( 1+(3/4 * 100)⁴ˣ⁵
Amount = 5000 (1.16)
Amount = $ 5805.9
Therefore , The value of the investment in 5 years is $5805.9
To know more about Interest
brainly.com/question/13324776
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Answer:
98 bouquets
Step-by-step explanation:
Divide 1,176 by 12. Do this using a calculator or long division.
