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il63 [147K]
3 years ago
11

Charlotte works at an electronics store as a salesperson. Charlotte earns a 10% commission on the total dollar amount of all pho

ne sales she makes, and earns a 4% commission on all computer sales. Charlotte had twice as much in computer sales as she had in phone sales and earned a total of $162 in commission. Write a system of equations that could be used to determine the dollar amount of phone sales Charlotte made and the dollar amount of computer sales she made. Define the variables that you use to write the system.
Mathematics
1 answer:
olga_2 [115]3 years ago
3 0

Answer: the system of equations are

0.1x + 0.04y = 162

y = 2x

Step-by-step explanation:

Let x represent the total dollar amount of the phone sales she makes.

Let y represent the total dollar amount of the computer sales she makes.

Charlotte earns a 10% commission on the total dollar amount of all phone sales she makes, and earns a 4% commission on all computer sales. If she earned a total of $162 in commission, it means that

0.1x + 0.04y = 162

Charlotte had twice as much in computer sales as she had in phone sales. This means that

y = 2x

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If s(x) = 2-x2 and t(x) = 3x, which value is equivalent to (s° f)(-7)?
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Answer:

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Step-by-step explanation:

Think of the question as s(f(-7))

First replace x with -7 in the equation f(x)= 3x

s(-7) = 3*(-7)

s(-7) = -21

now it is s(-21)

we substitute -21 into the s(x) equation to get 2-(-21)^2

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8 0
2 years ago
The regular admission price for an amusement park is $72. For a group of 15, or more, the admission price is reduce by $25 per p
lianna [129]
<h3>Answer:  20 people</h3>

=========================================

Explanation:

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Now applying the group discount, those x people pay 72-25 = 47 dollars each. Meaning the total cost is now 47x. Keep in mind that x \ge 15 in order for the discount to kick in.

Subtracting the two amounts leads to 72x-47x = 25x. It is not a coincidence that we get a coefficient of 25 here.

Set this equal to 500 and solve for x

25x = 500

x = 500/25

x = 20

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If x = 20 people attend individually, then they pay 72*x = 72*20 = 1440 dollars.

If 20 people go as one group, they pay 47x = 47*20 = 940 dollars

We have a savings of 1440-940 = 500 dollars. This confirms the answer.

All 20 people must go as one group if they want to save $500.

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3 years ago
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2 years ago
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4 years ago
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