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Law Incorporation [45]
3 years ago
11

A home improvement store sold wind chimes for $30 each.A costumer signed up for a free membership card and recieved a 5% discoun

t off the price.Sales tax of 5% was applied after the disscount.What was the final price of the windchime?Show your work.
Mathematics
2 answers:
Anton [14]3 years ago
8 0
29.925 is the correct answer
Nataly_w [17]3 years ago
4 0
The discount is 5% that means you find 5% of 30 and take from 30
(5/100)*30 = 1.50 dollars
30 - 1.50 = 28.50

Now you put the tax on

28.50 * 1.05 = 29.93
Notice 2 things.
multiply by 1.05 will put on a the sales tax plus the cost of the item (a short cut) and
taking off 5% does not come to the same thing when you add the 5% back on which is the point of the question. 
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(-4)(-4) use an exponent to rewrite the expression
DiKsa [7]
For this case we have the following expression:
<span> (-4)(-4) &#10;
 By properties of exponents we have:
 Same basis, the exponents are added.
 We have then:
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 Then, rewriting the exponent we have:
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 Therefore, an exponent to rewrite the expression is:
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 Answer:
 
(-4)^{2}
 an exponent to rewrite the expression is 2.</span>
5 0
3 years ago
The expression is equivalent to the expression
mamaluj [8]

Answer: False

Step-by-step explanation:

For this to be true; x must be squared.

4 0
2 years ago
Solve this equation for x. Round your answer to the nearest hundredth. 0.77 = log x​
Alekssandra [29.7K]

Answer:

x ≈ 5.89

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Equality Properties

<u>Algebra II</u>

  • Exponential to Logarithmic:                                                                             \displaystyle b^m=x \rightarrow log_bx=m

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

0.77 = log(x)

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. [Equality Property] Raise both sides to the 10th power:                                \displaysytle 10^{0.77} = 10^{logx}
  2. Simplify:                                                                                                             \displaysytle x = 10^{0.77}
  3. Evaluate:                                                                                                           \displaysytle x = 5.88844
8 0
3 years ago
A forest covers 43,000 acres. A survey finds that 0.2% of the forest is old-growth trees. How many acres of old-growth trees are
Gelneren [198K]

Answer:

8,600 acres are old-growth trees.

Step-by-step explanation:

You can find this by multiplying the percentage by the overall number of acres

20% * 43,000 = 8,600

5 0
3 years ago
Read 2 more answers
2x2 - 12x + 10<br>what are the roots​
Tcecarenko [31]

Answer:

5 & 1

Step-by-step explanation:

We can use the quadratic formula to solve this:

Quadratic Formula = \frac{-b+-\sqrt{b^2-4ac} }{2a}

So we will have 2 answers (roots).

a is the coefficient of x^2 (2)

b is the coefficient of x (-12)

c is the constant (10)

Now, substituting, we get:

x = \frac{-b+-\sqrt{b^2-4ac} }{2a}=\frac{12+-\sqrt{(-12)^2-4(2)(10)} }{2(2)}=\frac{12+-\sqrt{64} }{4}=\frac{12+-8}{4}=\frac{12+-8}{4}=5,1

Hence the roots are 5 & 1

4 0
2 years ago
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