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Anit [1.1K]
3 years ago
6

Ac set of Dishes has a list price of $399 with a 15% discount rate. What is the discount amount?

Mathematics
2 answers:
Anna35 [415]3 years ago
3 0
15% as a decimal is 0.15 because you move the point over two spaces from the percent..let me know if you need more clarification.  So the discount amount would be 0.15.  Hope this helped!  Feel free to ask any questions you need!  I'll respond ASAP!  Good Luck!
IceJOKER [234]3 years ago
3 0

$399 X .15 = $59.85

$399 - $59.85 = $339.15

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Simplify the following expression as much as you can use exponential properties. (6^-2)(3^-3)(3*6)^4
gtnhenbr [62]

Answer:

Simplifying the expression (6^{-2})(3^{-3})(3*6)^4 we get \mathbf{108}

Step-by-step explanation:

We need to simplify the expression (6^{-2})(3^{-3})(3*6)^4

Solving:

(6^{-2})(3^{-3})(3*6)^4

Applying exponent rule: a^{-m}=\frac{1}{a^m}

=\frac{1}{(6^{2})}\frac{1}{(3^{3})}(18)^4\\=\frac{(18)^4}{6^{2}\:.\:3^{3}} \\

Factors of 18=2\times 3\times 3=2\times3^2

Factors of 6=2\times 3

Replacing terms with factors

=\frac{(2\times3^2)^4}{(2\times 3)^{2}\:.\:3^{3}} \\=\frac{(2)^4\times(3^2)^4}{(2)^2\times (3)^{2}\:.\:3^{3}} \\

Using exponent rule: (a^m)^n=a^{m\times n}

=\frac{(2)^4\times(3)^8}{(2)^2\times (3)^{2}\:.\:3^{3}} \\=\frac{2^4\times 3^8}{2^2\times 3^{2}\:.\:3^{3}}

Using exponent rule: a^m.a^n=a^{m+n}

=\frac{2^4\times 3^8}{2^2\times 3^{2+3}}\\=\frac{2^4\times 3^8}{2^2\times 3^{5}}

Now using exponent rule: \frac{a^m}{a^n}=a^{m-n}

=2^{4-2}\times 3^{8-5}\\=2^{2}\times 3^{3}\\=4\times 27\\=108

So, simplifying the expression (6^{-2})(3^{-3})(3*6)^4 we get \mathbf{108}

7 0
2 years ago
Which of these is an example of employment ?
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A job is an example of employment
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Which of the following expressions can be used to calculate the area of a square with side lengths 5 inches?
NemiM [27]

Step-by-step explanation:

5x5

because 5^2 equals the area

4 0
2 years ago
Levi drank x ounces of water in a single day. zion drank 5/8 more than levi as shown in the tape diagram below. write an equatio
vladimir1956 [14]
5/8x=y that is the answer
5 0
2 years ago
Read 2 more answers
The Gaineys and the Arnolds are saving money for a trip to Utah to go snowboarding. The Arnolds are going to save a nickel on th
natali 33 [55]

Answer: see Explanation

Step-by-step explanation:

THE GAINEY'S:

Recursive Formula :

A1 = $10

An = An-1 + $10

A2 = $10 + $10 = $20

Where n = day of the month

Explicit formula :

y = a + b(c - 1)

WHERE:

y = final amount

initial amount = a

Increment on initial amount = b

Day of the month = c

THE ARNOLD'S :

Recursive formula:

First day of the month (A1) = $10

An = 2(An-1)

A2 = 2(A1) = 2(10) = $20

A3 = 2(A2) = 2(20) =$40

Explicit formula:

y = a(b)^c

Where :

y = final amount

initial amount = a

Increment on initial amount = b

Day of the month = c

5 0
2 years ago
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