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Montano1993 [528]
1 year ago
10

The value of the 4th term is 80. The sequence is doubling at each step. (Please answer this is due tomorrow)

Mathematics
1 answer:
Lyrx [107]1 year ago
6 0

The value of the 5th term of the geometric sequence is of 160.

<h3>What is a geometric sequence?</h3>

A geometric sequence is a sequence in which the result of the division of consecutive terms is always the same, called common ratio q.

The nth term of a geometric sequence is given by:

a_n = a_1q^{n-1}

In which a_1 is the first term.

We already have the 4th term and the common ratio, hence the 5th term is given by:

80 x 2 = 160.

The value of the 5th term of the geometric sequence is of 160.

More can be learned about geometric sequences at brainly.com/question/11847927

#SPJ1

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A company’s profit in dollars is modeled by the equation p(x) = –0.5x2 + 100x, where x represents the number of units sold.
serg [7]

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a. The company needs to sell 100 units to reach the maxmum profit.

b. The company's maximum profit is $5,000.

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a. How many unit does the company need to sell to reach the maximum profit?

p(x)=-0.5x^2+100x

This is a quadratic equation, and its graph is a parabola vertical (because the veriable "x" is square). Comparing with the general form:

p(x)=ax^2+bx+c; a=-0.5, b=100, c=0

a=-0.5<0 (negative), then the parabola opens downward, and it has a maximimun value (maximum profit) at its vertex.

We can find the abscissa of the vertex (units that the company needs to sell to reach the maximum profit using the following formula:

x=-b/(2a)

Replacing b by 100 and a by -0.5 in the formula above:

x=-100/[2(-0.5)]

x=-100/(-1)

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The company needs to sell 100 units to reach the maximum profit.


b. What's the company's maximum profit?  

To determine the maximum profit we substitute the value of "x" obrained in part "a" in the quadratic equation:

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p(100)=-0.5(10,000)+10,000

p(100)=-5,000+10,000

p(100)=5,000

The company's maximum profit is $5,000.

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