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OLga [1]
3 years ago
10

At Best Buy they have a stereo system that sells for $2200 and is on sale for 15% and sales tax is 7%. What is the final cost? (

Note, sales tax will be calculated on the sale price.)
Mathematics
1 answer:
Arte-miy333 [17]3 years ago
6 0

Answer:

Final cost = $3070.90

Step-by-step explanation:

First we need to find the discount

Discount = original price * percent off

Discount = 2200 * .15

Discount = 330

Sale price = original price - discount

Sale price = 3200-330

Sale price = 2870

Now we need to calculate tax

Tax = sales price times tax rate

Tax = 2870 * .07

     = 200.90

Final price = sales price plus tax

Final price = 2870 + 200.90

                   3070.90

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Which combination of transformations can you use to show that one shape is congruent to another? dilations and reflections/ refl
Ganezh [65]
The correct answer to this is:
ROTATIONS AND TRANSLATIONS

Reflection and rotation can also be used but since their both grouped with dilations, they can't be used. When dilation is used, the size of the shape is changed and congruence won't be possible anymore . That's why the answer is the first option.
8 0
3 years ago
Suppose a random variable x is best described by a uniform probability distribution with range 22 to 55. Find the value of a tha
const2013 [10]

Answer:

(a) The value of <em>a</em> is 53.35.

(b) The value of <em>a</em> is 38.17.

(c) The value of <em>a</em> is 26.95.

(d) The value of <em>a</em> is 25.63.

(e) The value of <em>a</em> is 12.06.

Step-by-step explanation:

The probability density function of <em>X</em> is:

f_{X}(x)=\frac{1}{55-22}=\frac{1}{33}

Here, 22 < X < 55.

(a)

Compute the value of <em>a</em> as follows:

P(X\leq a)=\int\limits^{a}_{22} {\frac{1}{33}} \, dx \\\\0.95=\frac{1}{33}\cdot \int\limits^{a}_{22} {1} \, dx \\\\0.95\times 33=[x]^{a}_{22}\\\\31.35=a-22\\\\a=31.35+22\\\\a=53.35

Thus, the value of <em>a</em> is 53.35.

(b)

Compute the value of <em>a</em> as follows:

P(X< a)=\int\limits^{a}_{22} {\frac{1}{33}} \, dx \\\\0.95=\frac{1}{33}\cdot \int\limits^{a}_{22} {1} \, dx \\\\0.49\times 33=[x]^{a}_{22}\\\\16.17=a-22\\\\a=16.17+22\\\\a=38.17

Thus, the value of <em>a</em> is 38.17.

(c)

Compute the value of <em>a</em> as follows:

P(X\geq  a)=\int\limits^{55}_{a} {\frac{1}{33}} \, dx \\\\0.85=\frac{1}{33}\cdot \int\limits^{55}_{a} {1} \, dx \\\\0.85\times 33=[x]^{55}_{a}\\\\28.05=55-a\\\\a=55-28.05\\\\a=26.95

Thus, the value of <em>a</em> is 26.95.

(d)

Compute the value of <em>a</em> as follows:

P(X\geq  a)=\int\limits^{55}_{a} {\frac{1}{33}} \, dx \\\\0.89=\frac{1}{33}\cdot \int\limits^{55}_{a} {1} \, dx \\\\0.89\times 33=[x]^{55}_{a}\\\\29.37=55-a\\\\a=55-29.37\\\\a=25.63

Thus, the value of <em>a</em> is 25.63.

(e)

Compute the value of <em>a</em> as follows:

P(1.83\leq X\leq  a)=\int\limits^{a}_{1.83} {\frac{1}{33}} \, dx \\\\0.31=\frac{1}{33}\cdot \int\limits^{a}_{1.83} {1} \, dx \\\\0.31\times 33=[x]^{a}_{1.83}\\\\10.23=a-1.83\\\\a=10.23+1.83\\\\a=12.06

Thus, the value of <em>a</em> is 12.06.

7 0
3 years ago
Pls help I will give u 10 points
Alex_Xolod [135]
It is correct
One room per day. Nine rooms in nine days
7 0
3 years ago
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A scuba diver was rising back to the surface after taking photos under water. At 2:50 P.M.,
djverab [1.8K]

Answer:

the answer is 11.6 feet

Step-by-step explanation:

you simply subtract the feet of the depth he was at at 2:55pm from his depth at 2:50pm

5 0
3 years ago
Which polynomial is the perfect square trinomial? And why??? Help Please!!
lutik1710 [3]
<h3>Answer:</h3>

See the attached

<h3>Step-by-step explanation:</h3>

When you square the binomial (a -b), you get ...

... (a -b)² = a² -2ab +b²

That is, both the a² and b² terms have positive signs, and the middle term is twice the product of the roots of the squared terms.

The last two selections have negative signs on the constant, so cannot be perfect square trinomials.

The first selection has a middle term that is -ab, not -2ab, so it is not a perfect square trinomial, either.

The second selection is the correct one:

... 4a² -20a +25 = (2a +5)²

4 0
3 years ago
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