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Rashid [163]
3 years ago
11

A certain connected graph has 68 vertices and 72 edges. Does it have a circuit?

Mathematics
1 answer:
OLEGan [10]3 years ago
5 0

Answer:

Yes.

Step-by-step explanation:

If a graph G doesn't have a circuit, we must have that

|E(G)|=|V(G)|-1

where |E(G)| is the number of edges of the graph and |V(G)| the number of vertices. However, in this case it holds that

|E(G)|=72>68=|V(G)|.

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plz i need help with this its due tmrw!! (also my other most recent question is #6 of this and it would be nice for answers for
kipiarov [429]

7. <u>You have $367.50 after two years.</u>

<em>Start by converting 2.5% into a decimal (divide by 100) and multiplying by 350 to find the rate of interest per year.</em>

<em>350(0.025) = 8.75</em>

<em>Since it's for two years, multiply by two. </em>

<em>8.75 x 2 = 17.5.</em>

<em>Add it on to he original, and we have</em>

<em>350 + 17.5 = 367. 5, or $367.50 when converted back to money. </em>

8. <u>The annual interest rate is 2.4%</u>

<em>find the interest rate per year: </em>

<em>120/2.5 = 48 dollars per year. this is the interest amount, we want to find the interest rate. To do this, find what % of 2000 that 48 is equal to. </em>

<em>Set up a system of equations and cross multiply.</em>

<em />\frac{48}{2000} = \frac{x}{100}<em />

<em>2000x = 48(100) > 2000x = 4800</em>

<em>2000</em><em>/2000</em><em>x = 4800</em><em>/2000 > </em><em>x = 2.4</em>

<em>So, the interest rate is 2.4%. </em>

9.  <u>the interest paid is $300 after six months, and $600 after a year.</u>

<em>Find the interest rate, similar to problem 7. </em>

<em>3000 x 0.2 = 600. This means the interest paid is $600 a year. In six months, the total will be half, or $300.</em>

10. <u>four years.</u>

<em>Find interest rate. </em>

<em>200(0.035) = $7/year</em>

<em>Remember that value. Subtract needed from current.</em>

<em>228 - 200 = $28. </em>

<em>So, we have an interest rate of $7 a year and we need $28. Normally, we'd solve using an expression, but in this case we can use simple multiplication. Knowing that 7 x 4 = 28, We can decide that it will take four years. </em>

5 0
3 years ago
A scuba diver descends from the surface at a rate of -38 feet per minute. What is the position of the scuba diver relative to th
lapo4ka [179]

Answer:

-114 (The answer should be negative.)

Step-by-step explanation:

3 x -38 = -114

4 0
1 year ago
Classify the triangle with the given side lengths as acute, right, obtuse, or not a triangle:
Scorpion4ik [409]

Answer:

Acute

Step-by-step explanation:

An acute triangle has three angles that each measure less than 90 degrees.

4 0
3 years ago
What is the area of the parallelogram?
Genrish500 [490]
Equals the product of one of its sides
3 0
3 years ago
Read 2 more answers
An expression is given.
Katyanochek1 [597]

9514 1404 393

Answer:

  34

Step-by-step explanation:

Maybe you want to evaluate ...

  16 - 14 ÷ 2 + (3 +2)²

The parentheses are evaluated first.

  16 -14÷2 +5²

Then the exponential term.

  16 -14÷2 +25

The division is evaluated next.

  16 -7 +25

Finally, the sum is evaluated.

  = 9 +25

  = 34

____

Your calculator can do this arithmetic for you.

5 0
3 years ago
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