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4 years ago

E = {1, 2, 3}

Mathematics

1 answer:

gtnhenbr [62]4 years ago

5 0

E ∩ F = {}

Step-by-step explanation:

Intersection is an operation performed on sets. In intersection, the common elements of the sets involved are written,

Given

E = {1, 2, 3}

F = {101, 102, 103, 104}

We have to find the intersection of both sets as indicated

So,

E ∩F = {1, 2, 3} ∩ {101, 102, 103, 104}

E ∩ F = {}

As there are no common elements in both sets the intersection will be an empty set

Keywords: sets, operations

Learn more about sets at:

#LearnwithBrianly

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morpeh [17]

Answer:

The net profit rate on the book is 5.41

Step-by-step explanation:

Given as :

The marks up percentage of book = m = 40%

The overhead rate is 16% of selling price

The cost price of book = c.p = $18.10

Let The profit = $p

Let The selling price = s.p

<u>Now, According to question</u>

mark up percentage = $\dfrac{s.p - c.p}{c.p}$

I.e 40% = $\dfrac{s.p - 18.10}{18.10}$

Or, $\dfrac{40}{100}$ + 1 = $\dfrac{s.p}{18.10}$

Or, $\dfrac{140}{100}$ = $\dfrac{s.p}{18.10}$

Or, s. p = $\dfrac{140\times 18.10}{100}$

∴ s.p = $25.34

So, selling price of book = s.p = $25.34

Now, The overhead percentage = 16%

i.e overhead rate = $\dfrac{\textrm estimated cost}{\textrm estimated total base unit}$

Or, estimated cost = 16% × 25.34

I,e estimated cost = 0.16 × 25.34

∴ estimated cost = $4.05

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I.e p = $25.34 - $4.05

∴ p = $21.29

So, The profit rate% = $\dfrac{\textrm profit}{\textrm estimated cost}$

I.e The profit rate% = $\dfrac{21.29}{4.05}$

∴ profit rate %= 5.41

So, The profit rate = p = 5.41

Hence, The net profit rate on the book is 5.41 Answer

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3 years ago

Y=-2x+1<br>4x+y=9 <br>solve using the substitution method please show steps

WINSTONCH [101]

Answer:

x = 4

y = -7

Step-by-step explanation:

y = -2x + 1

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<u>x = 4</u>

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Answer:

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