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I am Lyosha [343]
2 years ago
13

Find the 78th term of the arithmetic sequence -12,-13,-14,

Mathematics
1 answer:
creativ13 [48]2 years ago
8 0

Answer:

  -89

Step-by-step explanation:

The first term of the sequence is a1 = -12.

The common difference between terms is ...

  d = -13 -(-12) = -1

The generic term is given by ...

  an = a1 +d(n -1)

Then the 78th term is ...

  a78 = -12 +(-1)(78 -1) = -12 -77

  a78 = -89

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Answer:

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Step-by-step explanation:

I'm going to assume that the expectation that Cameron has is the amount of money after t years.

We can use the simple interest formula A = P(1+rt) where A is the final amount, P is the principal, r is the rate, and t is time.

We can plug in 10,000 for P and 0.05 for r, giving us

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1 year ago
What value of x is in the solution set of 9(2x + 1) &lt; 9x - 18? <br> -4<br> -3<br> -2<br> -1
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Answer:

The only possible answer that is correct is the first one, x = -4.

Step-by-step explanation:

Simplify the given inequality as much as possible, and then substitute each of the given x values one by one to determine which is in the solution set.

9(2x + 1) < 9x - 18 becomes 18x + 9 < 9x - 18, which, if reduced by dividing all four terms by 9, becomes 2x + 1 < x - 2.

Simplifying further, we get x < - 3.  The only possible answer that is correct is the first one, x = -4.  -4 < -3 is true.

8 0
2 years ago
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4.5m equales how many cm
lara31 [8.8K]
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If &lt; A and &lt; B are vertical angles, and &lt; A = 5x - 1 degrees, and &lt; B = 4x + 4 degrees, find x.
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Answer:

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Step-by-step explanation:

vertical angles are congruent , so

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