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Lisa [10]
4 years ago
10

A Hexagonal pyramid is located on top of a hexagonal prism. How many vertices are there?

Mathematics
1 answer:
Scrat [10]4 years ago
3 0

For a better understanding of the answer given here, please go through the diagram in the attached file.

The diagram assumes that the base of the hexagonal pyramid is an exact fit (has same dimensions as the face of the hexagonal prism).

As can be seen from the diagram, the common vertices are A,B,C,D,E,F which are 6 in number.

The bottom vertices are G,H,I,J,K,L, which, again are 6 in number.

The Apex of the pyramid, P is one more vertex.

Thus, the total number of vertices in a Hexagonal pyramid is located on top of a hexagonal prism will be the sum of all these vertices and thus will be:

6+6+1=13

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To solve for the A or the principal amount plus interest you can use two formulas:

A = P + I

Where: P = Principal
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or you can use 

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Where: P = principal
             r  = rate in decimal
             t  = time in years

With your given you can use the second one, without having to use the first. 
Given that the Principal amount is $222 and the rate is 12% and time is 10 years, we first need to convert your rate into decimal by dividing the value in percent by 100 which will yield 0.12. 

Then now we can just input the data that you know into the formula:
A = P(1+ rt)
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   = $222(2.2) 
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Your A is then equal to $488.40

If you need to get the simple interest all you need to use is the first formula given:

A = P + I
for the interest you transpose the P to the side of the A and you will get:
I = A - P
  = $488.40 - $222
  = $266.40

$266.40 is the added interest to the principal amount. 
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