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oksian1 [2.3K]
1 year ago
15

The value of a stock share in a new technology company has been increasing at a rate of 8.6% quarterly. The initial price of one

share was $102.15. An investor plans to sell once the value of one share reaches $233.10. If t is the number of quarters since the initial price of one share was set, which equation could be used to determine how long it will take the share to reach $233.10, assuming it continues to grow at the same rate?
Mathematics
2 answers:
Ilya [14]1 year ago
8 0
<span>Answer: 39 quarter

The value of a stock share in a new technology company has been increasing at a rate of 8.6% quarterly. That means the stock will increase by 8.6%/4= 2.15% rate per quarter. The exponent function to find the number of money the investor have would be:
</span>an= $102.15(1.0215)^t
<span>
The time needed for getting </span>$233.10 would be:

an= $102.15(1.0215)^t
$233.10= $102.15(1.0215)^t
2.2819 * $102.15= $102.15( 1.0215)^t
2.2819 = (1.0215)^t
t= log1.0215 2.2819
t= 39
Andrew [12]1 year ago
6 0

Answer:

Rate of interest = 8.6% or 0.086

The initial price of one share was $102.15. An investor plans to sell once the value of one share reaches $233.10.

If t is the number of quarters since the initial price of one share was set, then the equation that could be used to determine how long it will take the share to reach $233.10 is : 233.10 = 102.15(1.086)^t

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Answer:

a) 6 gigabytes

b) $100

Step-by-step explanation:

Let c represent the total cost in dollars and d represent the amount of data used in gigabytes.

For the first smartphone

One smartphone plan costs $52 per month for talk and messaging and $8 per gigabyte of data used each month.

Equation =

c = 52 + 8d

For the Second smartphone

A second smartphone plan costs $82 per month for talk and messaging and $3 per gigabyte of data used each month.

Equation =>

c = 82 + 3d

How many gigabytes would have to be used for the plans to cost the same?

We would equate both cost to each other

52 + 8d = 82 + 3d

Collect like terms

8d - 3d = 82 - 52

5d = 30

d = 30/5

d = 6

Therefore,

a) The number of gigabytes for the cost of both Smartphone data plans to be the same = 6 gigabytes.

b) The cost of both plans if 6 gigabytes is used =>

c = 52 + 8d

c = 52 + 8 × 6

c = $100

3 0
1 year ago
What are the zeros of the quadratic function f(x) = 2x2 + 8x – 3?
jenyasd209 [6]

Answer:

  x=-2-\sqrt{\dfrac{11}{2}}\ \text{and}\ x=-2+\sqrt{\dfrac{11}{2}}

Step-by-step explanation:

My favorite way to go at this is to look at a graph. It shows the vertex at (-2, -11). Since the leading coefficient is 2, this means the roots are ...

  -2\pm\sqrt{\dfrac{11}{2}}

where the 2 in the denominator of the radical is the leading coefficient.

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You can also use other clues:

  • the axis of symmetry is -b/(2a) = -8/(2(2)) = -2, so answer choices C and D don't work
  • the single change in sign in the coefficients (+ + -) tells you there is one positive real root, so answer choice B doesn't work.

The first answer choice is the only one with values symmetrical about -2 and one of them positive.

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You may be expected to use the quadratic formula:

  x=\dfrac{-b\pm\sqrt{b^-4ac}}{2a}=\dfrac{-8\pm\sqrt{8^2-4(2)(-3)}}{2(2)}\\\\=\dfrac{-8}{4}\pm\dfrac{\sqrt{88}}{4}=-2\pm\sqrt{\dfrac{11}{2}}

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1 year ago
The probability that a radish seed will germinate is 0.7. a gardener plants seeds in batches of 11. find the standard deviation
den301095 [7]

To calculate for the standard deviation given the probability, we use the formula:

s = sqrt (n p q)

where s is standard deviation, n is number of samples = 11, p is probability of success = 0.7, q = 1 – p = 0.30

 

s = sqrt (11 * 0.7 * 0.3)

<span>s = 1.52</span>

3 0
1 year ago
The general form of the equation of a circle is x2 + y2 + 42x + 38y − 47 = 0. The equation of this circle in standard form is .
Readme [11.4K]

Answer:

(-21,-19)

\sqrt{849}

Standard form

Step-by-step explanation:

We are given the equation of circle

x^2+y^2+42x+38y-47=0

General equation of circle:

x^2+y^2+2gx+2fy+c=0

Centre: (-g,-f)

Radius: \sqrt{g^2+f^2-c}

Compare the equation to find f, g and c from the equation

g\rightarrow 21

f\rightarrow 19

c\rightarrow -47

Centre: (-21,-19)

Radius (r) =\sqrt{21^2+19^2+47}=\sqrt{849}

Standard form of circle:

(x+21)^2+(y+19)^2=849

The centre of circle at the point (-21,-19) and its radius is \sqrt{849}.

The general form of the equation of a circle that has the same radius as the above circle is standard form.

4 0
2 years ago
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Answer:

The value of x is 4.

Step-by-step explanation:

It is given that triangle MRN is created when an equilateral triangle is folded in half.

It means original equilateral is triangle MNO and NR is a perpendicular bisector (<em>A line which cuts a line segment into two equal parts at 90°</em>).

The side length of the triangle is

NO = NS + SM = 6 + 2 = 8

Since an equilateral triangle is a triangle in which all three sides are equal and NR is a perpendicular bisector, therefore

RM = MO/2 = 8/2 = 4

The value of x is 4.

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1 year ago
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