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Daniel [21]
2 years ago
7

A jackets original price is $65.00 .It is on sale for 40% off. you have to pay 5% sales tax What is the final price fir the jack

et. Please show how to calculate the 5% sales tax thoroughly.
Mathematics
1 answer:
lesya [120]2 years ago
7 0
Hello!

There is a discount of 40%, which means that we will be subtracting 40% of the price, and then sales tax is basically additional money added to the price, so we will be adding that. 

65.00 * 40% = 26

65.00 - 26 = 39

So, the discounted price is $39. Now we must add tax on that. 

39 * 5% = 1.95

39 + 1.95 = 40.95

The final price of the jacket is $40.95. 
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The following parts refer to the letters: LAMEFIREALARM. Recall that "word" means distinguishable letter arrangements. (a) How m
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Answer:

Step-by-step explanation:

The word "LAMEFIREALARM" word consists of

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no of words with the above letters such that M's are not together

=Total No of words- M's are together

Total no of words=\frac{13!}{4\times 2!\times 3!}=64,864,800

When M's are together . considering 2 M's as one

therefore there are \frac{12!}{3\times 2!\times 3!}=9,979,200

No of ways=\frac{13!}{4\times 2!\times 3!}-\frac{12!}{3\times 2!\times 3!}=54,885,600

(b)No of ways such that M's are separated by at least 2 letters

at least  2 letter means 2 letter, 3 letter ......11 letters

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No of ways in which there is 1 letter between 2 M's

This can be done by considering 11 cases

In first case Place first M in Starting Position and 2 M on third place

Second case place First M in 2 nd Position and second M on 4 th place

Similarly For 11th case

Place first M in 11th place and second M on 13th place

Total ways

=\frac{11\times 11!}{3!\times 2!\times 2!\times 2!}

So , the total number of arrangements of the letters of the word LAMEFIREALARM where the two M's are separated by atleast two letters is

=\frac{13!}{4\times 2!\times 3!}-\frac{12!}{3\times 2!\times 3!}-\frac{11\times 11!}{3!\times 2!\times 2!\times 2!}

=45738000

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2 years ago
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