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ozzi
3 years ago
9

Find the original price. Round to the nearest cent. Sale price: $42 Discount: 30%

Mathematics
1 answer:
adelina 88 [10]3 years ago
6 0

Answer:

140

Step-by-step explanation:

Calculator Recommended:

100 / 30 = 3.3333333

Multiply it by 42 and you'll get the original cost.

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Express this to single logarithm
zzz [600]

Answer:  \log_{2}\left(\frac{q^2\sqrt{m}}{n^3}\right)

We have something in the form log(x/y) where x = q^2*sqrt(m) and y = n^3. The log is base 2.

===========================================================

Explanation:

It seems strange how the first two logs you wrote are base 2, but the third one is not. I'll assume that you meant to say it's also base 2. Because base 2 is fundamental to computing, logs of this nature are often referred to as binary logarithms.

I'm going to use these three log rules, which apply to any base.

  1. log(A) + log(B) = log(A*B)
  2. log(A) - log(B) = log(A/B)
  3. B*log(A) = log(A^B)

From there, we can then say the following:

\frac{1}{2}\log_{2}\left(m\right)-3\log_{2}\left(n\right)+2\log_{2}\left(q\right)\\\\\log_{2}\left(m^{1/2}\right)-\log_{2}\left(n^3\right)+\log_{2}\left(q^2\right) \ \text{ .... use log rule 3}\\\\\log_{2}\left(\sqrt{m}\right)+\log_{2}\left(q^2\right)-\log_{2}\left(n^3\right)\\\\\log_{2}\left(\sqrt{m}*q^2\right)-\log_{2}\left(n^3\right) \ \text{ .... use log rule 1}\\\\\log_{2}\left(\frac{q^2\sqrt{m}}{n^3}\right) \ \text{ .... use log rule 2}

8 0
2 years ago
I need help please.
enot [183]

0.2 is rounded to the nearest tenth

3 0
3 years ago
Read 2 more answers
William has a lemonade stand. Today he made $17.55 in lemonade sales and one third that amount in cookie sales. How much money d
ira [324]
All together he made 23.40
One third of $17.55 is $5.85
When you add $17.55 and $5.85 together you get $23.40
4 0
3 years ago
What is the factorization of the trinomial below?
valkas [14]
B is the correct answer. hope this helped:)
6 0
2 years ago
Read 2 more answers
Please help me out! i have a few more of these questions, about 4
Eva8 [605]

Step-by-step explanation:

You can make a table of values to find the points that belong to the line and then draw the line through those points. Here are some: (-6, -2), (0, -1), and (6, 5). You can use any value for x in your table. Hope this helps!

5 0
3 years ago
Read 2 more answers
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