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adelina 88 [10]
2 years ago
10

Find the 96th term of the arithmetic sequence -16,-28,-40 (im stuck on this please help)

Mathematics
1 answer:
enot [183]2 years ago
7 0

Answer:

1124.

Step-by-step explanation:

The common difference (d)   is -16 - (-28) = 12,  ( also -28 - (-40) = 12).

The nth term of an A.S.  is a1 + d(n - 1)  where a1 = first term, d=common difference.

so the 96th term of the given A.S. is:

-16 + 12(96 - 1)

= -16 + 12*95

= 1124.

hope this help

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<h2>Hello!</h2>

The answer is:

The fourth graph.

<h2>Why?</h2>

We are given the following equation:

f(x)=x

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f(x+2)=x+2

y=x+2

Now, finding the x-axis interception, making "y" equal to 0, we have:

0=x+2

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y=x+2

y=0+2=2

Therefore, the y-axis interception point is located at (0,2), it matches with the fourth graph.

Hence, we have that the graph of f(x+2) is the fourth graph since the second graph function cuts the x-axis at -2 and the y-axis at 2.

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If the risk-free rate is 7 percent, the expected return on the market is 10 percent, and the expected return on Security J is 13
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Risk-free rate = 7 percent

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7nadin3 [17]

Answer:

The antiderivative is F(X) = 6x + 6x^4 + 3x^6 - 15.

Step-by-step explanation:

Antiderivative F(x)

This is the integral of F^{\prime}(x)

So

F′(x) = f(x) = 6 + 24x^3 + 18x^5

Then:

F(x) = \int (6 + 24x^3 + 18x^5) dx

F(x) = 6x + \frac{24x^4}{4} + \frac{18x^6}{6} + K

F(x) = 6x + 6x^4 + 3x^6 + K

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F(X) = 0 when x = 1. We use this to find K.

F(x) = 6x + 6x^4 + 3x^6 + K

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Thus

The antiderivative is F(X) = 6x + 6x^4 + 3x^6 - 15.

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