If the sales tax is 3% what is the cost of a pair of shoes with a price of $55?

Answers

Answer 1
Answer: $56.65 

55(.03)= 1.65
1.65+55= 56.65
Answer 2
Answer: 3% of 55 is 1.65
you add this to the original cost to get &56.65

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PLEASE, PLEASE HELP!!! WILL MARK BRAINLIEST!!! Decompose the following single log statement into several log statements: Log (4x^2) /(3yz)

this reads the log of 4 times x squared, divided by (3 times y times z) the log statement applies to everything to the right.

Answers

Rewrite the original equation as:

Log(4x^2) - log(3yz)

Rewrite log(4x^2) as log(4) + log(x^2)

Rewrite log(4) as 2log(2)

Rewrite log(x^2) as 2log(x)

Separate log(3yz) into 3 logs: log(3), log(y) and log(z)

Now combine them to get:

2log(2) + 2log(x) - log(3) - log(y) - log(z)

Final answer:

The decomposition of the logarithmic expression Log((4x^2)/(3yz)) leads to the end result: Log(4) + Log(x^2) - Log(3) - Log(y) - Log(z). The given expression is separated into individual logarithms applying the logarithmic rules.

Explanation:

The decomposition of the logarithmic expression Log((4x2)/(3yz)) according to the laws of logarithms can be done as follows:

Using the rule that log(a/b) = log(a) - log(b), we can first split the expression into two parts: Log(4x2) - Log(3yz).

From there, we can apply the rule that log(ab) = log(a) + log(b) to split these further. So, Log(4x2) becomes Log(4) + Log(x2), and Log(3yz) becomes Log(3) + Log(y) + Log(z).

Finally, we substitute these back into the original expression to get the final decomposition: Log(4) + Log(x2) - Log(3) - Log(y) - Log(z).

Learn more about Logarithmic Decomposition here:

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Area is 27,405 cm and height is 18 cm what is the volume?

Answers

The volume would be 493,290cm since your are multiplying the area by height.

Dr. Hunt just got his PhD, and he wants to print copies of his thesis in hardcover book format. He could use Wildgrove Printing, paying a setup fee of $38 and $6 for every book printed. Alternately, he could go through Salem University, paying an up-front fee of $36 and $7 per book. It turns out that, given the number of books Dr. Hunt wants to print, the two options cost the same amount. How many books is that? What is the amount?

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2 books and $50.00.................................

Is the sequence geometric? If so, identify the common ratio. 6, 12, 24, 48,

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Answer:  Yes, the given sequence is geometric with common ration 2.

Step-by-step explanation: The given sequence is:

6, 12, 24, 48, . . ..

We are to check whether the above sequence is geometric or not. If it is geometric, we are to find the common ratio.

Geometric sequence - a sequence of numbers where each term is found by multiplying by a constant to the preceding term. This constant is called the common ratio, r.

The consecutive terms of the given sequence can be written as:

a_1=6,\n\na_2=12,\n\na_3=24,\n\na_4=48,\n\netc.

We can see that

(12)/(6)=(24)/(12)=(48)/(24)=~.~.~.~=2,\n\n\Rightarrow (a_2)/(a_1)=(a_3)/(a_2)=(a_4)/(a_3)=~.~.~.~=2,\n\n\Rightarrow a_2=2* a_1,~~a_3=2* a_2,~~a_4=2* a_3,~.~.~.etc.

Therefore, each term is formed by multiplying 2 to the preceding term.

Thus, the given sequence is a geometric sequence with common ratio 2.

Yes
common ratio= r2/r1 or r3/r2 or r4/r3 if it is all the same then it is a geometric sequence, so the common ratio is 2 because 12/6=2, 24/12=2 and 48/24=2

If sin α = 12/13 , and cosα = 5/13 , then tanα =?It would be great if you could add a few words of explanation

Answers

sin\alpha=(12)/(13)\n\ncos\alpha=(5)/(13)\n\ntan\alpha=(sin\alpha)/(cos\alpha)\n\ntan\alpha=(12)/(13):(5)/(13)=(12)/(13)\cdot(13)/(5)=(12)/(5)=2(2)/(5)=2.4
If you draw a right angles triangle you can fill in the values. So since sinx= opposite/hypotenuse then the hypotenuse of the triangle is 13. And the side opposite the angle a is 12. Since cosx= adjacent/ hypotenuse, the adjacent side is 5.
Tanx=opposite/adjacent and therefore tana= 12/5

what is the smallest possible whole number length for the third side if the other sides are 15 and 20?

Answers

i believe 5 because you subtract 20 from 15