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zaharov [31]
3 years ago
8

Sara goes to a furniture store to buy a dining set, end tables, and a loveseat. She sees a lamp for $40 and an end table for $62

; both with a 12.5% tax. She finds 2 loveseats she likes. One is imported Italian leather worth $1200 with an additional 2% charge and no taxes. The other is a lush blue loveseat worth 980 with 17% taxes. If she purchases either the leather loveseat or the lush blue loveseat and lamp, what is the purchase price of the cheaper option?
Do not include $ in answer and round the purchase price to the nearest hundredth. For example, if the answer is $7.236, put 7.24.
Mathematics
1 answer:
BaLLatris [955]3 years ago
3 0

Answer:

$1191.60

Step-by-step explanation:

<u>Option 1:</u>

Leather Loveseat

1200 plus 2% extra charge and NO TAX

What is 2% of 1200??

0.02 * 1200 = 24

So total price = 1200 + 24 = $1224

<u>Option 2:</u>

Lush Blue Loveseat and Lamp

Lush Blue loveseat is 980 + 17% tax, that would be worth 980 + (0.17)(980) = $1146.6

and

lamp is worth 40 with 12.5% tax, that would be worth 40 + (0.125)(40) = $45

Total cost = 1146.6 + 45 = $1191.6

2nd option is cheaper, so that would cost $1191.60

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2 You hang two strands of Decorative light strand one change color every 30 seconds straight to change every 45 seconds both str
mestny [16]

The two strands of Decorative light will shine at same time after every 15 seconds.

<h3>What is defined as the Highest common factor?</h3>
  • The greatest of all their common factors is the Highest Common Factor (HCF) of more than one number.
  • As a result, it is also known as the greatest common factor (GCF).
  • There isn't an exact formula for determining the greatest common factor of two numbers.
  • However, when considering prime factorization, we can write a statement that aids in evaluating the greatest common factor of more than one number.

The stated condition are-

The light strand one change color every 30 seconds.

The light strand second change color every 45 seconds.

Prime factorization of both number are;

30 = 2×3×5

45 = 3×3×5

The numbers with highest power are;

HCF(30, 45) = 3×5 = 15.

Thus, the time after which both the light strands will change colour at the same time is 15 seconds.

To know more about Highest common factor, here

brainly.com/question/219464

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8 0
1 year ago
Please help!<br><br> Fill in the missing number.
liq [111]

Answer:

21

Step-by-step explanation:

\left[\begin{array}{cc}5&9\\-6&9\end{array}\right] +6\left[\begin{array}{cc}-5&2\\7&8\end{array}\right]

Multiply the second matrix by 6.

\left[\begin{array}{cc}5&9\\-6&9\end{array}\right] +\left[\begin{array}{cc}-30&12\\42&48\end{array}\right]

Add the corresponding cells in each matrix.

\left[\begin{array}{cc}5-30&9+12\\-6+42&9+48\end{array}\right]

\left[\begin{array}{cc}-25&21\\36&57\end{array}\right]

3 0
3 years ago
Please help I just need to finish these questions
Olin [163]

Answer:

C

Step-by-step explanation:

Not integer, irrational

4 0
3 years ago
The area of the trapezoid is 40 square units.
Whitepunk [10]

Answer:

5 units

Step-by-step explanation:

Image of the trapezoid is attached.

To find the height of the trapezoid (image attached), let's take the formula for area of a trapezoid.

The formula for area of a trapezoid is:

A = (\frac{a + b}{2}) h

Here, a and b represents the bases of the trapezoid.

a = 6

b = 10

h which represents height is unknown.

A = 40

Substitute figures:

40 = (\frac{6 + 10}{2}) h

40 = (\frac{16}{2}) h

40 = 8 * h

Solve for h:

h = \frac{40}{8}

h = 5

The height of the trapezoid is 5 units

4 0
3 years ago
Read 2 more answers
Can someone help with number 20
enyata [817]

Answer:B: 36°


Step-by-step explanation:

We know that ∆ABC is isoceles, making (angle)<ABC and <BCA congruent because base angles of isoceles triangles are congruent.


Because we have parallel lines, we can look for alternate interior angle pairs. <BCA is congruent to <DAC because they're alternate interior angles.


If <BCA is x then so is <ABC.


Since triangles add up to 180° we can add all of the angles (3x+x+x) and set it equal to 180.

3x+x+x=180

5x=180

x=36


If we were looking for <BAC we would plug that back in and solve, but we're looking for <BCA which is equal to x, therefore m<BCA=36°


3 0
3 years ago
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