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Greeley [361]
3 years ago
13

Emily invested in Google Stock (in the thousands of dollars) between the years 2000- 2013. The value of the stock can be modeled

by the equation c(t)=t^2 -10t+76, where t=0 represents 2000. In what year did the stock reach its minimum value? What is the minimum value?
Mathematics
1 answer:
jek_recluse [69]3 years ago
7 0
To find it, evaluate it at the endpoints and the vertex
in form
f(x)=ax²+bx+c
the x value of the vertex is -b/2a


given
c(t)=1t²-10t+76
x value of vertex is -(-10)/1=10


evaluate c(0) and c(13) and c(10)
c(0)=76
c(13)=115
c(10)=76

it reached minimum in 2000 and 2010
porbably teacher wants 2010
the min value is $76
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nikdorinn [45]
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The answer is 9
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Step-by-step explanation:

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Represent the geometric series using the explicit formula.
Dennis_Churaev [7]

The correct answer is:

b.) f(n) = 3 • (-2)^(n-1)

Further explanation:

Given sequence is:

3, -6, 12, -24, ...

We have to find the common ratio first.

Common ratio is the ratio between two consecutive terms of a geometric sequence.

It is denoted by r.

So,

Here,\\a_1=3\\a_2=-6\\a_3=12\\a_4=-24\\r=\frac{a_2}{a_1}=\frac{-6}{3}=-2\\\frac{a_3}{a_2}=\frac{12}{-6}=-2

General formula for geometric sequence is:

a_n=a_1r^{n-1}\\Here\\a_n\ is\ the\ nth\ term\\a_1\ is\ the\ first\ term\\and\\r\ is\ common\ ratio

Putting the values of a1 and r

a_n=3.(-2)^{n-1}\\f(n)=3.(-2)^{n-1}

Hence,

The correct answer is:

b.) f(n) = 3 • (-2)^(n-1)

Keywords: Geometric Sequence, Explicit formula

Learn more about geometric sequence at:

  • brainly.com/question/2048256
  • brainly.com/question/2115122

#LearnwithBrainly

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3 years ago
Sebastian bought a 30-pack of mechanical pencils and plans to give the same number of pencils each to 6 friends.
Korolek [52]

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Therefore, each friend will get:

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What is the area of the regular polygon?
BartSMP [9]

Answer:

You could use the polygon area formula OR here's an easier solution

We draw the lines DC and DE

Angle ADC = 120°

Triangle ADC is a 30 60 90 triangle

In such a triangle Line AE = hypotenuse * sq root (3) /2

Line AE = 3 * 0.8660254038  = 2.5980762114

Line DE = 1.5

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ABC = 6 * 1.9485571586

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Step-by-step explanation:

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