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balandron [24]
3 years ago
12

the revenue, in dollars, of a company that produces video game systems can be modeled by the expression 5x2 2x – 80. the cost, i

n dollars, of producing the video game systems can be modeled by 5x2 – x 100, where x is the number of video game systems sold. if profit is the difference between the revenue and the cost, what expression represents the profit?
Mathematics
2 answers:
AleksandrR [38]3 years ago
5 0
5x=2=7-110 that is your answer.
bekas [8.4K]3 years ago
5 0

Answer:

The expression that represents the profit is p(x) =3x-180

Step-by-step explanation:

The Profit function P(x) is the difference between the Revenue function R(x) and the Cost function C(x)

P(x) = R(x)-C(x)

Finding the profit function.

For this exercise the revenue is given by

R(x) = 5x^2+2x-80

And the cost function is modeled by

C(x) = 5x^2-x+100

Thus the profit function is

P(x) = 5x^2+2x-80- (5x^2-x+100)

Distributing the negative sign.

P(x) = 5x^2+2x-80- 5x^2+x-100

Combining like terms to finally get the simplified profit function

\boxed{P(x) = 3x-180}

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Mr. Noel borrowed money from his cousin at a rate of 10% simple interest. After 1 year, $440
Alborosie

Answer:

<h2>$400</h2>

Step-by-step explanation:

Using the formula for calculating the simple interest expressed as;

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Note that the principal is the amount he originally borrowed

I = PRT/100 ............ 1

Amount paid off A = Principal+Interest

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From equation 2; I = A-P......... 3

Substitute equation 3 into 1;

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Given A = $440, R = 10%, Time = 1year

Substitute the given parameters into the resulting equation;

440 - P = P*10*1/100

440-P = 10P/100

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Divide through by 1.1;

1.1P/1.1 = 440/1.1

P = $400

<em>Hence the amount Mr Noel originally borrow is $400</em>

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