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Arisa [49]
3 years ago
8

During a sale, a store offered a 15% discount on a TV that originally sold for $900. After the sale, the discounted price of the

TV was marked up by 15%. To the nearest whole number, what percent of the original price was the price after markup?
Mathematics
1 answer:
iVinArrow [24]3 years ago
5 0
<h3>Answer:   98%</h3>

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

Explanation:

The customer saves 15%, but still pays the remaining 85%. The two percentages add to 100%.

85% of $900 = 0.85*900 = 765

After the 15% discount is applied, the customer would pay $765

---------

Then after the sale, the price is marked up by 15%

This means we'll multiply by 1.15 to indicate a 15% increase

1.15*765 = 879.75

Notice that we don't get back to the original price (900) even though we increased by the same percentage as before. This is because 15% of a smaller number is a smaller amount; ie we have a smaller increase compared to the decrease earlier.

---------

Afterwards, divide the value 879.75 over the original price of $900

879.75/900 = 0.9775

Move the decimal point two spots to the right to end up with 97.75%

That percentage rounds to 98% when rounding to the nearest whole percent.

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3) x2+ y2 - x + 3y - 42 = 0<br> X+y=4
REY [17]

The solution is (-1,5) and (7,-3)

Step-by-step explanation:

The expression is x^{2} +y^{2} -x+3y-42=0 and x+y=4

Using substitution method we can solve the expression.

Let us substitute x=4-y in x^{2} +y^{2} -x+3y-42=0

(4-y)^{2} +y^{2} -(4-y)+3y-42=0

Expanding and simplifying the expression, we get,

\begin{array}{r}{16-8 y+y^{2}+y^{2}-4+y+3 y-42=0} \\{2 y^{2}-4 y-30=0}\end{array}

Let us use the quadratic equation formula to solve this equation,

\begin{aligned}y &=\frac{4 \pm \sqrt{16-4(2)(-30)}}{2(2)} \\&=\frac{4 \pm \sqrt{16+240}}{4} \\&=\frac{4 \pm 16}{4} \\y &=1 \pm 4\end{aligned}

Thus, y=5 and y=-3

Substituting y-values in the equation x+y=4, we get the value of x.

For y=5 ⇒ x=4-5=-1

For y=-3 ⇒ x=4+3=7

Thus, the solution set is (-1,5) and (7,-3)

7 0
3 years ago
During cooking,chicken loses 10% of it's weight dueto water loss.In order to obtain 1,170 grams of cooked chicken,how many grams
Citrus2011 [14]
You could also just do 1,170 divided by 0.1 to come up with your answer of 117 grams of uncooked chicken.
4 0
3 years ago
Find the circumference of a circle with a diameter of 6 cm. leave your answer in terms of. 6 cm 24 cm 12 cm 9 cm
Aleksandr [31]
The circumference of a circle of given diameter d is pi*d.
Thus, if the diameter is d = 6 cm, the circumference of the circle is (6 cm)*pi.
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electronic store is donating 7.25 percent of every sale to charity. How much would they donate from the sale of an entertainment
Nana76 [90]
Your answer is $424.05

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In the box, type the number that correctly completes the sentence.
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