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Andreas93 [3]
3 years ago
5

Jane purchased a concert ticket on a web site. The original price of the ticket was $55. She used a coupon code to receive a 20%

discount. The web site applied a 10% service fee to the discounted price. Jeannette’s ticket was less than the original price by what percent? *
Mathematics
1 answer:
Licemer1 [7]3 years ago
5 0

Answer:

28%

Step-by-step explanation:

-The price after the coupon discount is calculated as;

P_{ad}=P_r(1-d)\\\\=55(1-0.2)\\\\=\$44

We reduce the discounted price by the service fee to determine the effective purchase price:

P_f=P_{ad}(1-f)\\\\=44(1-0.1)\\\\=\$\ 39.6

#Compare this final price to the original price:

\bigtriangleup=1-\frac{Final}{Original}\\\\=1-\frac{39.6}{55}\\\\=0.28 \ \ or \ 28\%

Hence, the final price was 28% less than the original price.

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Type the correct answer in each box
Luba_88 [7]

Answer:

We know that the equation of the circle in standard form is equal to <em>(x-h)² + (y-k)² = r²</em> where (h,k) is the center of the circle and r is the radius of the circle.

We have x² + y² + 8x + 22y + 37 = 0, let's get to the standard form :

1 - We first group terms with the same variable :

(x²+8x) + (y²+22y) + 37 = 0

2 - We then move the constant to the opposite side of the equation (don't forget to change the sign !)

(x²+8x) + (y²+22y) = - 37

3 - Do you recall the quadratic identities ? (a+b)² = a² + 2ab + b². Now that's what we are trying to find. We call this process <u><em>"completing the square"</em></u>.

x²+8x = (x²+8x + 4²) - 4² = (x+4)² - 4²

y²+22y = (y²+22y+11²)-11² = (y+11)²-11²

4 - We plug the new values inside our equation :

(x+4)² - 4² + (y+22)² - 11² = -37

(x+4)² + (y+22)² = -37+4²+11²

(x+4)²+(y+22)² = 100

5 - We re-write in standard form :

(x-(-4)²)² + (y - (-22))² = 10²

And now it is easy to identify h and k, h = -4 and k = - 22 and the radius r equal 10. You can now complete the sentence :)

5 0
3 years ago
Write the following numeral in words.<br> 616 845
Svetradugi [14.3K]

Answer:

six hundred sixteen thousand eight hundred forty five

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Kelly buys shoes with all her money. She only has $150. One pair of shoes is $40. The other 2 pairs are for her sisters they are
irina1246 [14]

Answer:

$55

Step-by-step explanation:

its $150 - $40 = $110

$110 / 2 = $55

3 0
3 years ago
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Apples are $2.49/pound. You need 2.5 pounds to make apple crisp. How much will you spend on apple in total? Show your work for f
Sedbober [7]

Answer:

2.5 is the answer

Step-by-step explanation:

5 0
3 years ago
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How do you do this, can someone help please?
igor_vitrenko [27]

Answer:

your answer is C.

Step-by-step explanation:

4 0
3 years ago
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