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3 years ago

An item is regularly priced at $94. It is now priced at a discount of 30% off the regular price.

Mathematics

2 answers:

ivanzaharov [21]3 years ago

6 0

30% of 94 is 94*0.3=28.2
94-28.2=65.8
The item is now priced at $65.8

Vedmedyk [2.9K]3 years ago

4 0

30% off an item would make that item valued at 70% of its original price

94 times 0.7 = 65.8

$65.80

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Kenny's score on his 72nd game played is 961

Solution:

Given that the first 5 score of Kenny are listed below:

38, 51, 64, 77, 90

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To find: Kenny's score on his 72nd game played

Let us first find the pattern followed

38, 51, 64, 77, 90

Find the difference between terms

51 - 38 = 13

64 - 51 = 13

77 - 64 = 13

90 - 77 = 13

So the difference between terms is constant

So the sequence is arithmetic sequence

An arithmetic sequence is a sequence of numbers such that the difference of any two successive members of the sequence is a constant

The formula for nth term of arithmetic sequence is given as:

$a_n = a_1 + (n-1)d$

$a_n$ = the nᵗʰ term in the sequence

$a_1$ = the first term in the sequence

d = the common difference between terms

Here d = 13 and $a_1 = 38$

So we get,

$a_n = 38 + (n-1) \times 13$

To find the score of 72nd game, substitute n = 72

$a_{72} = 38 + (72-1) \times 13\\\\a_{72} = 38 + 71 \times 13\\\\a_{72} = 38 + 923\\\\a_{72} = 961$

Thus Kenny's score on his 72nd game played is 961

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