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Svetradugi [14.3K]
3 years ago
11

The price of a pair of shoes and a shirt before tax is $24. There is a 7% sales tax on the shoes and the shirt. How much total m

oney will you need to buy the shoes and the shirt?
A. $27
B. $25.68
C. $31
D. $32.89
Mathematics
2 answers:
Anna007 [38]3 years ago
6 0
B. You would need to multiply 7% and 24 and you should get 1.68 and that’s how much money you are paying in taxes then add the 1.68 to the $24 and you get $25.68
dusya [7]3 years ago
6 0
B. $25.68 you multiply the 7% and 24 then add the answer to the 24.
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How many terms are there in the sequence 1, 8, 28, 56, ..., 1 ?
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9 terms

Step-by-step explanation:

Given:  

1, 8, 28, 56, ..., 1

Required

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To determine the number of sequence, we need to understand how the sequence are generated

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When r = 1

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When r = 2

\left[\begin{array}{c}8&&2\end{array}\right] = \frac{8!}{(8-2)!2!} = \frac{8!}{6!2!} = \frac{8 * 7 * 6!}{6! * 2 *1} = \frac{8 * 7}{2 *1} =2 8

When r = 3

\left[\begin{array}{c}8&&3\end{array}\right] = \frac{8!}{(8-3)!3!} = \frac{8!}{5!3!} = \frac{8 * 7 * 6 * 5!}{5! *3* 2 *1} = \frac{8 * 7 * 6}{3 *2 *1} = 56

When r = 4

\left[\begin{array}{c}8&&4\end{array}\right] = \frac{8!}{(8-4)!4!} = \frac{8!}{4!3!} = \frac{8 * 7 * 6 * 5 * 4!}{4! *4*3* 2 *1} = \frac{8 * 7 * 6*5}{4*3 *2 *1} = 70

When r = 5

\left[\begin{array}{c}8&&5\end{array}\right] = \frac{8!}{(8-5)!5!} = \frac{8!}{5!3!} = \frac{8 * 7 * 6 * 5!}{5! *3* 2 *1} = \frac{8 * 7 * 6}{3 *2 *1} = 56

When r = 6

\left[\begin{array}{c}8&&6\end{array}\right] = \frac{8!}{(8-6)!6!} = \frac{8!}{6!2!} = \frac{8 * 7 * 6!}{6! * 2 *1} = \frac{8 * 7}{2 *1} = 28

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\left[\begin{array}{c}8&&7\end{array}\right] = \frac{8!}{(8-7)!7!} = \frac{8!}{7!1!} = \frac{8 * 7!}{7! * 1} = \frac{8}{1} = 8

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