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dexar [7]
3 years ago
5

Let A = {10, 20, 30, 40, 50, 60} and B = {10, 40, 60}. What is A ∩ B?

Mathematics
2 answers:
erastovalidia [21]3 years ago
5 0
This means common members {10,40,60}
sergiy2304 [10]3 years ago
4 0

Answer:

The A ∩ B is  {10, 40 ,60} .

Step-by-step explanation:

As given in the question

A = {10, 20, 30, 40, 50, 60}

B = {10, 40, 60}

The intersection A ∩ B of two sets A and B is represented the set that contains all elements of A that also belong to B .

Thus the A ∩ B becomes

A ∩ B = {10, 40 ,60}

Therefore the A ∩ B is  {10, 40 ,60} .


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a total of $9500 is invested, part at 10% simple interest and part at 9%. if the total annual return from the two investments is
Nutka1998 [239]

a total of $9500 is invested, part at 10% simple interest and part at 9%

if the total annual return from the two investments is $914.00

Amount invested = 9500

Total amount return means total yield = $914

Let x amount  is invested at 10% simple interest

Interest for first part =  10 % times x = 0.10x

Remaining part invested is 9500 -x

Interest for remaining amount = 9% (9500 -x) = 0.09(9500-x)

Total interest yield is 914. Now we frame an equation

0.10x + 0.09(9500-x) = 914

0.10x +855 - 0.09x = 914 (combine like terms)

0.01 x + 855 = 914 (subtract 855)

0.01x = 59 ( divide both sides by 0.01)

So x = 5900

$5900 is invested in 10% simple interest

9500 - 5900 = $3600 is invested in 9% simple interest


3 0
3 years ago
Four times a first number decreased by a second number is - 14. The first
mel-nik [20]

Answer:

f = -5, s = -6

Step-by-step explanation:

F= first number

S= second number

4f - s = -14

f + 3s = -23

3(4f - s = -14)

12f - 3s = -42

+ f + 3s = -23

13f = -65

————

13

f = -5

4f - s = -14

4(-5) - s = -14

-20 - s = -14

+20 +20

-s = 6

———

-1

s = -6

3 0
3 years ago
Which shows the correct solution to the inequality 7/10> 1 5/8+p
Bogdan [553]

Answer: \begin{bmatrix}\mathrm{Solution:}\:&\:p

Step-by-step explanation:

\frac{7}{10}>1\frac{5}{8}+p

\frac{7}{10}>\frac{13}{8}+p

\frac{13}{8}+p

\frac{13}{8}+p-\frac{13}{8}

p

3 0
3 years ago
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Allushta [10]

Answer:

<em>y=-5</em>

Step-by-step explanation:

<u>Equation of the line</u>

Lines can be expressed in several forms. The slope-intercept form of the line is:

y = mx + b

Where m is the slope of the line and m is the y-intercept.

If the line is perpendicular to the y-axis, then it's a horizontal line. Horizontal lines have slope m=0, thus, the equation is:

y = b

To find the value of b, just substitute the given point:

-5=b

The equation of the line is:

y=-5

3 0
2 years ago
How is the graph of the parent function, y=xx transformed to produce the graph of y= 1-2x?​
wel

the answer is D

It is horizontally compressed by a factor of 2 and reflected over the y-axis

4 0
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