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Nikolay [14]
3 years ago
15

Ella purchased a game that was on sale 12% off. The sales tax in her county is 6%. Let y represent the original price of the gam

e. Write an expression that can be used to determine the finak cost of the game
Mathematics
1 answer:
spayn [35]3 years ago
3 0
Let y represent the original price of a game.
<span>Ella purchased a game that was on sale 12% off which means that the new price of the game is 88% of the original price, so:
</span>y*88/100&#10;=0.88y
Next, t<span>he sales tax in her county is 6%, which means that the the now price is 106% to the original price, so:
</span>0.88y*106/100&#10;=0.88(1.06)y&#10;=0.9328y. As a result, the final cost can represent under the form of 0.9328y. Hope it help!
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Find the sum of the convergent series 7 0.7 0.007
mafiozo [28]
7+0.7+0.007+\cdots=7\left(1+\dfrac1{10}+\dfrac1{100}+\cdots\right)

Let S_n denote the nth partial sum of the series, i.e.

S_n=1+\dfrac1{10}+\dfrac1{100}+\cdots+\dfrac1{100^n}

Then

\dfrac1{10}S_n=\dfrac1{10}+\dfrac1{100}+\dfrac1{1000}+\dfrac1{10^{n+1}}

and subtracting from S_n we get

S_n-\dfrac1{10}S_n=\dfrac9{10}S_n=1-\dfrac1{10^{n+1}}
\implies S_n=\dfrac{10}9\left(1-\dfrac1{10^{n+1}}\right)

As n\to\infty, the exponential term vanishes, leaving us with

\displaystyle\lim_{n\to\infty}S_n=\dfrac{10}9

and so

7+0.7+0.007+\cdots=7.777\ldots=\dfrac{70}9
3 0
3 years ago
Sara hina and Arslan have a total of RS 390in their wallet . Sara has Rs. 7more than Hina .Arslan has 3 times what sara has . Ho
Brums [2.3K]

Answer:Sara hina and Arslan Have RS79.4,RS 72.4 and RS238.2 respectively.

Step-by-step explanation:

Step 1

Let the amount that hina has be x

the amount that sara has be represented as  7+x

and the amount that Arslan have be represented as 3(7+x)

such that the total amount in their wallet which is 390 can be expressed as

x+7+x + 3(7+x)=390

Step 2

Solving

x+7+x +21+3x=390

5x+28=390

5x==390-28

x=362/5=72.4

Hina has RS 72.4

Sara =7+x==72.4+77= RS 79.4

Arslan =3(7+x)=3 x 79.4=RS 238.2

5 0
3 years ago
Solve and show all work |2×+3| -6=11​
mash [69]

Answer:

x = -10; x = 7  

Step-by-step explanation:

|2x + 3| - 6 =11

Add 6 to each side.

|2x + 3| = 17

Apply the absolute rule: If |x| = a, then x = a or x = -a.

(1) 2x + 3 = 17                    (2) 2x + 3 = -17

Subtract 3 from each side

         2x = 14                                 2x = -20

Divide each side by 2

          x = 7                                   x = -10

<em>Check: </em>

(1) |2(7) + 3| - 6 = 11                     (2) |2(-10) + 3| - 6 = 11

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             |17| - 6 = 11                                     |-17| - 6 = 1 1

              17 - 6 = 11                                        17 - 6 = 11

                    11 = 11                                              11 = 11

7 0
3 years ago
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Nata [24]

Answer:

3

Step-by-step explanation:

as a person who answers in the mathematics session

i will tell you that the answer is 3

7 0
3 years ago
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The answer is C because the radius is half of the cylinder which is 2 so the Diameter will be 4 meaning the whole cylinder and 8 times 4 is 32.

I would really appreciate if I got brainliest :)

7 0
3 years ago
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