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Sladkaya [172]
3 years ago
8

A share of ABC stock was worth $70 in 2011 and only

Mathematics
1 answer:
Bezzdna [24]3 years ago
6 0

Answer:

5v + 32y = 350

Step-by-step explanation:

Let, the year counting starts in 2011 and represented by y.

So, the share of ABC stock value was $70 at y = 0. And in the year 2016 i.e. y = (2016 - 2011) = 5, the share worth $38.

If there is a linear relationship between the number of years since 2011 i.e. y and the value of the share of ABC stock i.e. v, then we can write the equation of this situation as

\frac{v - 70}{70 - 38} = \frac{y - 0}{0 - 5}

⇒ 5v - 350 = - 32y

⇒ 5v + 32y = 350 (Answer)

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Tables are created by substitute a set of input values into the function to create outputs. The required table is as shown below

<em>x | y</em>

<em>0   -3 </em>

<em>1   -2.5</em>

<em>2   -2 </em>

<h3>Tables and values</h3>

Tables are created by substitute a set of input values into the function to create outputs

Using x = 0, 1 and 2 as the input values

Given the function

y = 1/2x - 3

If x = 0

y = 1/2(0) - 3

y = -3

If x = 1

y = 1/2(1) - 3

y = -2.5

If x = 2

y = 1/2(2) - 3

y = -2

Hence the required table is as shown below

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derivation of the formula for the sum of n terms
Progression, S
S=a1+a2+a3+a4+...+an

S=a1+(a1+d)+(a1+2d)+(a1+3d)+...+[a1+(n−1)d]   →   Equation (1)

S=an+an−1+an−2+an−3+...+a1

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Add Equations (1) and (2)
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2S=n(a1+an)
S=n/2(a1+an)

Substitute an = a1 + (n - 1)d to the above equation, we have
S=n/2{a1+[a1+(n−1)d]}
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Answer:

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Step-by-step explanation:

5×2=10

5×7=35

So the answer is 10x-35

8 0
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