Alan purchased 16 shares of company stock for $390.40. A month later, the total value of his shares fell to $291.20. What is the current price per share if each share costs the same?

Answers

Answer 1

Answer: i think that the current price for each share would be $18.20 if the total value went down to $291.20.

Answer 2

Answer: So it looks like when Alan initially purchased his company stock, the price per share was $24.40 ($390.40/16).
Being that the stock has fallen, the stock price is now $18.20 ($291.20/16).

Hope this helps.

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Given the following information, choose the brand that is the better buy. Brand A: $1.25 for 10 ounces Brand B: $1.47 for 12 ounces Brand C: $1.68 for 14 ounces Brand D: $1.84 for 16 ounces

Answers

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The brand that is better to buy is Brand A

Find the product of the complex number and its conjugate. 3 + 3i

Answers

First, we are going to find the conjugate of our complex number. Remember that to find the conjugate of a complex number we just need to keep the real part and change the sing of the imaginary part.

We can infer from our problem that the real part of our complex number is 3 and its imaginary part is $3i$ . We are going to keep the real part 3 and change the imaginary part from positive to negative, so our conjugate is $3-3i$ .

Next, we are gong to multiply both the complex number and its conjugate using the distributive property:

$(3+3i)(3-3i)=(3*3)-(3*3i)+(3*3i)-(3i*3i)=9-9i+9i-9i^2=9-9i^2$

Remember that $i^2=√(-1)^(2) =-1$ , so:

$9-9i^2=9-9(-1)=9+9=18$

We can conclude that the product of the multiplication of the complex number 3+3i and its conjugate, 3-3i, is 18.

Product of complex number and its conjugate will be 18 .

Complex number : x ± iy

Given , 3 + 3i

Conjugate pair of complex number = x ± iy

So, the complex conjugate pair are :

3 + 3i and 3 - 3i

Product of complex conjugate pair,

(3 + 3i) (3 - 3i)

Open the brackets,

= 9 - 9i + 9i - 9i²

Here, i = √-1 ; i² = -1

Substitute the value of iota(i),

= 9 -9i + 9i +9

= 18

Thus the product value is 18.

Know more about complex numbers,

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The following are angles in a convex quadrilateral: Angle A = 34 degrees Angle B = 108 degree Angle C = 65 degrees What is the measure of the missing angle?

Answers

In a quadrilateral all angels must equal 360 degress. So by adding your angels up and then subtracting them from 360, you will find the missing angle.

34 + 108 + 65 = 207

360-207 = 153

Your unknown angle is 153 degrees

Well since it is a quadrilateral, the degrees equal 360. So add 108 + 34 + 65 = 207. Then subtract 207 from 360. 360 - 207 = 153. So 153 is your missing angle. To check just add 153 + 65 + 34 + 108 = 360.

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A.

11 and 12

B.

6 and 7

C.

4 and 5

D.

9 and 10