How much will Julia pay in all for the headphones after sales tax is included? Round to the nearest cent if necessary.

Answers

Answer 1
Answer:

Answer:

If we knew how much the headphones were and tax was it would be easy but there's no information to solve this.


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The sum of the squares of 2 consecutive negative integers is 41. What are the numbers?Which of the following equations is the result of using the factoring method to solve the problem?
(n - 5)(n - 4) = 0
(n - 5)(n + 4) = 0
(n + 5)(n - 4) = 0
(n + 5)(n + 4) = 0

Answers

Answer:

Factors are (n + 5)(n - 4) = 0.

Step-by-step explanation:

Given : The sum of the squares of 2 consecutive negative integers is 41. What are the numbers.

To find : Which of the following equations is the result of using the factoring method to solve the problem.

Solution : We have given  statement

Let two consecutive number are : n and  n +1 .

Square of two consecutive number are : n² and (n+1)².

According to question :  sum of the squares of 2 consecutive negative integers is 41.

n² + (n+1)² = 41.

n² + n² + 1 +2n =41

2n² + 2n +1 =41

On subtracting 41 from both sides

2n² + 2n +1- 41 = 0

2n² + 2n  - 40 = 0

On dividing by 2 to whole equation

n² + n - 20  = 0

On factoring

n² + 5n -4n - 20  = 0

Taking common n from first two terms and -4 from first two last terms

n (n +5) -4 (n +5) = 0

Grouping

(n -4) (n +5) = 0.

Therefore, Factors are (n + 5)(n - 4) = 0.

Call n smallest number. Then n+1 is its consecutive.

n^2 + (n+1)^2 = 41
n^2 + n^2 + 2n + 1 = 41
2n^2 + 2n -40 = 0
n^2 + n -20 = 0
(n + 5)(n- 4) = 0

Then the answer is the third option.

If n-2 = 1/16, then n could be

Answers

n-2= 1/16
⇒ n= 1/16+ 2 (inverse operation)
⇒ n= 2+ 1/16
⇒ n= 2 1/16

Final answer: n= 2 1/16.

Find the two geometric means between 20 and 2500

Answers

Answer:

The two geometric means between 20 and 2500 are 100 and 500.

Step-by-step explanation:

First of all we all should know about a geometric progression to solve this question.

A geometric progression is a series in which there is a first term a and all the next terms are calculated by multiplying the previous term by a common number r.

where a is known as first term and

r is known as common ratio.

In the question we are given a as 20 and we have to find out 2 terms after 20 and 4th term is given as 2500.

Formula for n^(th) term in a geometric progression is:

a_(n)  = a* r^(n-1)

Here a_(4) = 2500

As per formula of n^(th) term:

a* r^(3) = 2500\n\Rightarrow 20 * r^(3) =2500\n\Rightarrow r^(3) = 125\n\Rightarrow r = 5

Now, 2nd term:

a_(2) = a * r\n\Rightarrow a_(2) = 20 * 5\n\Rightarrow a_(2) = 100

Now, 3rd term:

a_(3) = a * r^(2) \n\Rightarrow a_(3) = 20 * 5^(2)\n\Rightarrow a_(3) = 500

So, the two geometric means between 20 and 2500 are 100 and 500.

How does the concept of trust relate to debt?

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Answer:

A trust can protect your assets for the next generation. However, if you have debt, the trust will not necessarily protect assets from creditors. If you or your beneficiaries file for bankruptcy, for example, the trust could be seized for repayment of debts.

The inner and outer Radii of a cylindrical pipe are 5 cm and 4 cm respectively. find the area of cross section of the pipe. 

Answers

To do this find the area of the inner pipe, and then find the area of the outer pipe, then subtract the larger of the two from the smaller, and that is the area of the cross section

Answer:

28.3 cm²

Step-by-step explanation:

You find the area of the whole section which is 5²π = 25π.

Then you find the area of the empty part which is 4²π = 16π.

Then you subtract to get 9π which is 28.27433388......

= 28.3 cm²

Help me with this question very difficult! !!!

Answers

240 × (1)/(12)
Probability:
20 times