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olga2289 [7]
3 years ago
11

Rachel buys a new television that is on sale for 15% off. She also gets a 5% discount on the sale price plus a $50 mail-in rebat

e. If the initial price of the television is $3,000, what is the final amount Rachel will pay?
Mathematics
2 answers:
Alexandra [31]3 years ago
5 0
<h2>Answer:</h2>

       The final amount Rachel will pay is:

                            $ 2372.5

<h2>Step-by-step explanation:</h2>

Initial price pf television is: $ 3000

Also, the television is at a sale of 15% off

This means that the television after the offer of 15% is:

(100-15)%\times 3000\\\\=85% of 3000\\\\=2550

  • Hence, the price of television after 15% off=$ 2550

Also, there will be a discount of 5%

  • Hence, the price of television after discount is:

(100-5)\%\times 2550\\\\\\=95\%\times 2550\\\\=\$\ 2422.5

Also, there is a$ 50 mail-in rebate.

         Hence, the final amount Rachel will pay is:

                  $ 2372.5

( since,  2422.5-50=2372.5)

Minchanka [31]3 years ago
4 0
$ 2372.50 is  the final amount that Rachel will have to pay.
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A = P(1+ \frac{r}{n}) ^{nt}**<span>
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If someone could help me out with this, I would greatly appreciate it!!
kati45 [8]

We are given that revenue of Tacos is given by the mathematical expression -7x^{2}+32x+240.

(A) The constant term in this revenue function is 240 and it represents the revenue when price per Taco is $4. That is, 240 dollars is the revenue without making any incremental increase in the price.

(B) Let us factor the given revenue expression.

-7x^{2}+32x+240=-7x^{2}+60x-28x+240\\-7x^{2}+32x+240=x(-7x+60)+4(-7x+60)\\-7x^{2}+32x+240=(-7x+60)(x+4)\\

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(C) The factor (-7x+60) represents the number of Tacos sold per day after increasing the price x times. Factor (4+x) represents the new price after making x increments of 1 dollar.

(D) Writing the polynomial in factored form gives us the expression for new price as well as the expression for number of Tacos sold per day after making x increments of 1 dollar to the price.

(E) The table is attached.

Since revenue is maximum when price is 6 dollars. Therefore, optimal price is 6 dollars.


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