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Irina-Kira [14]
3 years ago
15

A TV has an original price of $499. What is the new price after a 15% increase?

Mathematics
1 answer:
liubo4ka [24]3 years ago
3 0

Given:

Original price of a TV = $499

Price increased by 15%.

To find:

The new price of the TV.

Solution:

According to the question,

New price of the TV = Original price + 15% of its original price.

\text{New price of the TV}=499+\dfrac{15}{100}(499)

\text{New price of the TV}=499+74.85

\text{New price of the TV}=573.85

Therefore, the new price of the TV is $573.85.

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Construct a polynomial function with the following properties: third degree, only real coefficients, −3 and 3+i are two of the z
irina [24]

Answer:

\boxed{-3(x+3)(x^2-6x+10)}

Step-by-step explanation:

Hello,

As the polynomial has only real coefficients, it means that 3-i is a zero too, because we apply the Conjugate Zeros Theorem.

It means that we can write the expression as below, k being a real number that we will have to identify.

k(x+3)(x-3-i)(x-3+i)=k(x+3)((x-3)^2-i^2)\\\\=k(x+3)(x^2-6x+9+1)\\\\=k(x+3)(x^2-6x+10)

And for x = 0, y = -90 so we can write

-90=k*3*10, meaning that k=-3

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

5 0
3 years ago
Please answer 14 and 13
Colt1911 [192]
7/4 * 301/2 (changed into mixed numbers)
2107/8
263.375
C
because when you change 3 into a mixed fraction its 263*8+3/8
263.375
#1
7 0
3 years ago
Read 2 more answers
One number is 8 more than another. If the sum of the smaller number and twice the larger number is 46, find the two numbers.Let
valkas [14]

Answer:

x = 18 y = 10

Step-by-step explanation:

let the first number be x

let the second number be y

x = y + 8..... equation 1

2x + y = 46.... equation 2

x is the larger number

y is the smaller number.

Rearrange the equation and add equation 1 to equation 2.

x - y = 8

+ 2x + y = 46

-------------------

3x + 0 = 54

3x = 54

divide both sides by 3

x = 54/3

x = 18

Substitute x = 18 into equation 1

x = y + 8

18 = y + 8

collect like terms

y = 18-8

y = 10

3 0
3 years ago
child admission is $5.90 and adult admission is $9.10 . 175 tickets were sold for a total sales of $1282.10 . How many child tic
GenaCL600 [577]

Answer:

Child tickets are 97

Step-by-step explanation:

x + y = 175 ...............(1)

x = 175 - y

5.90x + 9.10y = 1282.10. .........(2)

5.90 (175 - y) + 9.10y = 1282.10

1032.50 - 5.9y + 9.10y = 1282.10

3.2y = 249.60

y = 249.6. / 3.2

y = 78

From equation 1

x + y = 175

x + 78 = 175

x = 175 - 78

x = 97

8 0
3 years ago
Ryan went to the store to buy a CD. The CD was on sale for 10% off. If Ryan paid $13.50 for the CD, what was the original price
nydimaria [60]
<span>well first off, you take 1350/9=150
then you add it all together 1350+150=1500
then your full answer would be $15 was the original price
</span>
3 0
3 years ago
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