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miss Akunina [59]
3 years ago
12

Select the correct answer. Which equation, when solved, gives 8 for the value of x?​

Mathematics
1 answer:
Rus_ich [418]3 years ago
8 0

The 3rd equation, as if you solve for x as shown, you will end up with equation x=8.

\frac{5}{4}x-\frac{3}{2}x=-4+2

\frac{5}{4}x-\frac{6}{4}x=-2

-\frac{1}{4}x=-2

x=8

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Recursive formula is one way of solving an arithmetic sequence. It contains the initial term of a sequence and the implementing rule that serve as a pattern in finding the next terms. In the problem given, the 6th term is provided, therefore we can solve for the initial term in reverse. To make use of it, instead of multiplying 1.025, we should divide it after deducting 50 (which supposedly is added).
<span>
Therefore, we perform the given formula: A (n) = <span>1.025(an-1) + 50
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a(4) = 1.025 (181.09) + 50 = 235.62

a(3) = 1.025 (127.89) + 50 = 181.09

a(2) = 1.025 (75.99) + 50 = 127.89

a(1) = 1.025 (25.36) + 50 = 75.99

a(n) = 25.36

The terms before a(6) are indicated above, since a(6) is already given.

So, the correct answer is <span>A. $25.36, $75.99.</span>
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