Nancy bought a mobile phone marked at $720 at a discount of 20% and she had to pay 5% tax. If Nancy had to put 20% of what she had to pay including tax as a deposit, how much money did she have to pay for the deposit?
$___

Answer:

Shopping malls are replacing small shops

Answer:

a,d,e

Step-by-step explanation:

In this question, we apply limit concepts to get the desired limit, finding that the correct options are: A, D and E, leading to the result of the limit being [tex]\frac{1}{6}[/tex].

Limit:

The limit given is:

[tex]\lim_{x \rightarrow 7} \frac{\sqrt{x+2}-3}{x-7}[/tex]

If we apply the usual thing, of just replacing x by 7, the denominator will be 0, so this is not possible.

When we have a term with roots, we rationalize it, multiplying both the denominator and the denominator by the conjugate.

Multiplication by the conjugate:

The term with the root is:

[tex]\sqrt{x+2} - 3[/tex]

It's conjugate is:

[tex]\sqrt{x+2}+3[/tex]

Multiplying numerator and denominator by the conjugate, meaning option A is correct:

[tex]\lim_{x \rightarrow 7} \frac{\sqrt{x+2}-3}{x-7} \times \frac{\sqrt{x+2}+3}{\sqrt{x+2}+3}[/tex]

We do this because at the numerator we can apply:

[tex](a+b)(a-b) = a^2 - b^2[/tex]

Thus

[tex]\lim_{x \rightarrow 7} \frac{\sqrt{x+2}-3}{x-7} \times \frac{\sqrt{x+2}+3}{\sqrt{x+2}+3} = \lim_{x \rightarrow 7} \frac{(\sqrt{x+2})^2 - 3^2}{(x-7)(\sqrt{x+2}+3)} = \lim_{x \rightarrow 7}\frac{x+2-9}{(x-7)(\sqrt{x+2}+3)} = \lim_{x \rightarrow 7}\frac{x-7}{(x-7)(\sqrt{x+2}+3)}[/tex]

Thus, we can simplify the factors of x - 7, meaning that option D is correct, and we get:

[tex]\lim_{x \rightarrow 7} \frac{1}{\sqrt{x+2}+3}[/tex]

Now, we just calculate the limit:

[tex]\lim_{x \rightarrow 7} \frac{1}{\sqrt{x+2}+3} = \frac{1}{\sqrt{7+2}+3} = \frac{1}{3+3} = \frac{1}{6}[/tex]

Thus, option E is also correct.

Using a limit calculator, as given by the image below, we have that 1/6 is the correct answer.

For more on limits, you can check https://brainly.com/question/12207599

Answer:

62.9

Step-by-step explanation:

volume of a cylinder = nr^2h

22/7 x 5 x 2^2 = 62.90 cm^3

Answer:

A,M,V

Step-by-step explanation:

Answer:

the median is 43

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

:)

Answer:

7) 24 8) 75 9) .9

Step-by-step explanation:

You multiply the denominatior with the whole number.

Answer:

x = 24   b = 75   s = 0.9

Step-by-step explanation:

7. Multiply both sides by 2 and you get x = 24

8. Multiply both sides by 5 and you get b = 75

9. Multiply both sides by 0.3 and you get s = 0.9

Answer:

supplementary angles

Step-by-step explanation:

Answer:

supplementary

they are also adjacent

they also form a 'straight angle'

they can also be termed as a 'linear pair'

Step-by-step explanation:

Answer:

try c

Step-by-step explanation:

i dont know

Answer:

The number of candidates is 136.

Step-by-step explanation:

Step-by-step explanation:

[tex]1.2 + 3.45 + 6.789 \\ = 4.65 + 6.789 \\ = 11.439[/tex]

Answer:

11.4

Step-by-step explanation:

1.2 + 3.45 + 6.789 = 11.43926 ≈ 11.4

-TheUnknownScientist

Answer:

It's A, 3.82

Step-by-step explanation:

the decimal table goes up to left

Answer:

A) 3, 4, and 5

D) 9, 12, and 15

Step-by-step explanation:

A) 3, 4, and 5

D) 9, 12, and 15

If you square and add the first two, you get the third one squared.  That doesn’t work for B and C.

Answer:

5/6

Step-by-step explanation:

Answer:

The answer is 5/6

Step-by-step explanation:

4        5           20             2

-   x   -       =      -      =       -

5       6            30             3

Answer:

D is the best answer to the question

Answer:

Distance between points = 8.6

Step-by-step explanation:

Formula :

Distance between two points = √(xB−xA)2+(yB−yA)2(xB-xA)2+(yB-yA)2

Solution :

Distance between two points = √(−2−−9)2+(−6−−1)2(-2--9)2+(-6--1)2

= √72+(−5)272+(-5)2

= √49+2549+25

= √7474 = 8.6023

Distance between points (-9, -1) and (-2, -6) is 8.6023

Answer:

for 9^(x)-1=2 the answer is 1/2 or .5

The solution to this equation 9ˣ - 1 = 2 is 1/2.

The correct option is A.

Two algebraic expressions having same value and symbol '=' in between are called as an equation.

Given:

An equation:

9ˣ - 1 = 2

Simplifying,

9ˣ  = 3

3²ˣ = 3

Comparing, we get,

2x = 1

x = 1/2

Therefore, the solution is x = 1/2.

To learn more about the equation;

https://brainly.com/question/12788590

#SPJ2

Answer:

A

Step-by-step explanation:

y -2 = -5/6(x -3)

y-2 = -5/6x + 15/6

y = -5/6x + 27/6

y = -5/6x + 9/2

Answer:

B) 544in

Step-by-step explanation:

The area for the front triangle is 48in. So the back triangle is also 48in.

The area for the side rectangles are each 140in.

And the area for the bottom rectangle is 168in.

Add all the values together: 48+48+140+140+168=544

Hope this makes sense...?

Answer:

1. (3,-2)

2. (-1, -3)

3. (-4, 5)

4. (2, 5)

Step-by-step explanation:

Answer:

26. $46.75

27. $4.80

28. $32.00

29. $3.60

Answer:

A, C, D

Step-by-step explanation:

Answer:

Finding the Volume of a rectangular prism is to find there

C) 135

Step-by-step explanation:

L x W = A x H = V

9 x 5 = 45 x 3 = 135

Answer:

None

Step-by-step explanation:

V=1/3×a×b×h

=1/3×9×3×5

=45

Answer:

100 and 80

Step-by-step explanation:

Congruent means the same, so the other 2 angles are the same as 80 and 100

Answer:

Benson could use a deck of cards.

Diamonds for the first dog.

Clubs for the second dog.

Hearts for the third dog.

Spades for the fourth dog.

Answer:

it depends on the larger number

Step-by-step explanation:

A positive and a negative is the same as subtracting

ex: 7 + (-2) = 7 -2 = 5

ex: -7 + 2 = 2-7 = -5

Answer:

-5 + 6=1

but

-6+5=. -1

Step-by-step explanation:

it depends , if the negative number is lesser than the positive then the answer will be in the positive, but if the negative number is greater than the positive it is a negative

9514 1404 393

Answer:

Step-by-step explanation:

Let s represent the length of the short piece. Then the long piece is 6s+8, and the total length is ...

  s +(6s+8) = 99

  7s = 91 . . . . . . . . subtract 8, collect terms

  s = 13 . . . . . . . . . divide by 7

  99 -13 = 86 = 6(13)+8 . . . length of long piece

The short piece is 13 feet long; the long piece is 86 feet long.