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trapecia [35]
3 years ago
15

Paul has decided to set up his own recording studio. He needs to purchase four speakers at $435 apiece and two mixers at $772 ap

iece. He also needs to soundproof a room, which will cost him $838. If Paul has $4,500 in his savings account, how close can he come to setting up his studio?
Mathematics
1 answer:
iogann1982 [59]3 years ago
4 0

Answer:

Paul can set up the recording studio and he will have $378 left over.

Step-by-step explanation:

We have been given that Paul needs to purchase four speakers at $435 a piece and two mixers at $772 apiece. He also needs to soundproof a room, which will cost him $838.

First of all, we will find the total amount needed to set up the recording studio by calculating amount needed for 4 speakers plus 2 mixers and soundproof room as:

\text{Amount needed for 4 speakers}=4\times \$435

\text{Amount needed for 4 speakers}=\$1740

\text{Amount needed for 2 mixers}=2\times \$772

\text{Amount needed for 2 mixers}=\$1544

\text{Total amount needed to set up recording studio}=\$1740+\$1544+\$838

\text{Total amount needed to set up recording studio}=\$4122

Now, we will subtract $4122 from $4500.

\text{Difference}=\$4500-\$4122

\text{Difference}=\$378

Therefore, Paul can set up the recording studio and he will have $378 left over.

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The words need not be English language words  142506

What is permutation and combination?

A set of elements can be divided into subsets in two different ways: combination and permutation.

                          The components of the subset may be arranged in any order when combined. The components of the subset are listed in a permutation in a certain order.

If the word has 5 different letters  then it is just 26-choose-5 or (26/5).

If the word has 4 different letters  then it is just 26-choose-4 or (26/4)

have 4 options to choose which letter to duplicate twice.

This gives =  4*(26/4)

If the word has 3 different letters  then it is just 26-choose-3 or (26/3).

you duplicate one of the three letters 3 times - 3 options for that, or you choose 2 letters and duplicate each one twice - again 3 options. In total this gives  = 6*(26/3).

If the word has 2 different letters  then it is just 26-choose-2 or (26/2).

The sets of 2 different letters and duplicate either one of the letters 4 times - 2 options; or duplicate one letter 2 times, and the other 3 times - again 2 options. In total this is  = 4*(26/2).

The word has just 1 distinct letter you have =  (26/1).

we get :

N = (26/5)+ 4*(26/4) + 6*(26/3) + 4*(26/2) +  (26/1)

= 142506

The words need not be English language words  = 142506

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5 0
1 year ago
The two Marked angles are congruent yes or no will mark brainest​
kompoz [17]

Answer:

true

Step-by-step explanation:

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8x + 2 = 14x - 76

8x - 14x = -76 -2

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3 years ago
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Vlad [161]

Answer:

p=2

Step-by-step explanation:

4.05p+14.40=4.50(p+3)          < equation

4.05p+14.40=4.50p+13.50     < multiply

14.40=.45p+13.50                   < subtract

.9=.45p                                    < subtract

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5 0
3 years ago
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What is 75 + 15x ≥ 140
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75+ 15x ≥ 140
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3 years ago
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Doss [256]

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Step-by-step explanation:

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Squaring something is just multiplying it by its self.

A negative times a negative = a positive

A positive times a positive = a positive

A negative times a positive = a negative

A positive times a negative = a negative

- * - = +

+ * + = +

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Here is how my 6th grade teacher helped me to remember it:

If something bad (-) happens to a bad guy (-), that is good.

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If something bad (-) happens to a good guy (+), that is bad.

If something good (+) happens to a bad guy (-), that is bad.

I hope I helped!

Let me know if you need anything else!

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