Answer:
€9.31
Step-by-step explanation:
The relationship of tax to price is ...
... tax : price = 0.19 : 1
Then the relationship of tax to total cost is ...
... tax : (tax + price) = 0.19 : (0.19 +1) = 0.19 : 1.19 = 19 : 119
So, the tax is 19/119 times the total cost. In this problem, ...
... VAT = 19/119 × €58.31
... VAT = €9.31
We will investigate how to determine Hamilton paths and circuits
Hamilton path: A path that connect each vertex/point once without repetition of a point/vertex. However, the starting and ending point/vertex can be different.
Hamilton circuit: A path that connect each vertex/point once without repetition of a point/vertex. However, the starting and ending point/vertex must be the same!
As the starting point we can choose any of the points. We will choose point ( F ) and trace a path as follows:
The above path covers all the vertices/points with the starting and ending point/vertex to be ( F ). Such a path is called a Hamilton circuit per definition.
We will choose a different point now. Lets choose ( E ) as our starting point and trace the path as follows:
The above path covers all the vertices/points with the starting and ending point/vertex are different with be ( E ) and ( C ), respectively. Such a path is called a Hamilton path per definition.
One more thing to note is that all Hamilton circuits can be converted into a Hamilton path like follows:
The above path is a hamilton path that can be formed from the Hamilton circuit example.
But its not necessary for all Hamilton paths to form a Hamilton circuit! Unfortunately, this is not the case in the network given. Every point is in a closed loop i.e there is no loose end/vertex that is not connected by any other vertex.
Answer:
Amount of interest in 30 year = $2,250
Account balance after 30 year = $7,250
Step-by-step explanation:
Given:
Amount deposit P = $5,000
Simple interest rate = 1.5% = 0.015
Find:
Amount of interest in 30 year
Account balance after 30 year
Computation:
Interest = PRT
Amount of interest in 30 year = (5,000)(0.015)(30)
Amount of interest in 30 year = $2,250
Account balance after 30 year = P + I
Account balance after 30 year = $5,000 + $2,250
Account balance after 30 year = $7,250
Answer:
1215.916
Step-by-step explanation:
(91.1061mm)First you need to find the hypotenuse which is the missing length on the triangle 20squared plus 21 squared is 841 then the square root of that (29) so the diameter is 29 multiply that by pi the you get the circumference 91.1061