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Verdich [7]
3 years ago
15

Question 5 (Essay Worth 5 points) Jessica purchased a DVD that was on sale for 12% off. The sales tax in her county is 3%. Let y

represent the original price of the DVD. Write an expression that can be used to determine the final cost of the DVD.
Mathematics
1 answer:
Vlad [161]3 years ago
4 0

Answer:

<em>The expression for final cost of the DVD is  0.9064y</em>

Step-by-step explanation:

Jessica purchased a DVD that was on sale for 12% off.

If the original price of the DVD is  y , then the amount of discount on sale will be:  0.12y

So, the selling price of the DVD = (y-0.12y)= 0.88y

The sales tax in her county is 3%. So, the amount of sales tax on the selling price will be:  (0.88y\times 0.03)= 0.0264y

Thus, the expression for final cost of the DVD is:  (0.88y+0.0264y)= 0.9064y

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Carter is a songwriter who collects royalties on his songs whenever they are played in a commercial or a movie. Carter will earn
professor190 [17]

Carter's song played on 7 commercials and 5 movies.

Step-by-step explanation:

Earning per commercial = $50

Earning per movie = $130

Total earned = $1000

Total commercial and movies = 12

Let,

x be the number of commercials

y be the number of movies

According to given statement;

x+y=12     Eqn 1

50x+130y=1000    Eqn 2

From Eqn 1

x=12-y    Eqn 3

Putting value of x from Eqn 3 in Eqn 2

50(12-y)+130y=1000\\600-50y+130y=1000\\80y=1000-600\\80y=400

Dividing both sides by 80

\frac{80y}{80}=\frac{400}{80}\\y=5

Putting y=5 in Eqn 1

x+5=12\\x=12-5\\x=7

Carter's song played on 7 commercials and 5 movies.

Keywords: linear equation, substitution method

Learn more about substitution method at:

  • brainly.com/question/537230
  • brainly.com/question/5345266

#LearnwithBrainly

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7 0
4 years ago
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What would be the answer?
Sergeeva-Olga [200]

Answer:

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Hope this helps!

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