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Veseljchak [2.6K]
3 years ago
12

Stock prices used to be quoted using eighths of a dollar. Find the total price of the transaction. 400 shares of national semi a

t 135 1/2
Mathematics
1 answer:
Dima020 [189]3 years ago
5 0

Answer:

The value is T  =  \$54200

Step-by-step explanation:

From the question we are told that

      The  number of shares is  n  =  400

      The rate  of each share is  k  =  135\frac{1}{2}  =  135.5

Generally the total price is mathematically represented as

     T  =  400 * 135.5

      T  =  \$54200

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The rational function has a y-intercept of 7. What is the equation for this function?
Schach [20]

Answer:

\large\boxed{f(x)=\dfrac{4}{x+2}+5}

Step-by-step explanation:

f(x)=\dfrac{a}{x-b}+c\\\\\text{We have}\\\text{(1) the vertical asymptote}\ x=-2.\ \text{Therefore}\ b=-2.\\\text{(2) the horizontal asymptote}\ y=5.\ \text{Therefore}\ c=5.\\\text{(3) the point (0, 7). Put the coordinates of the point to the equation}\\\text{of the function}\\y=\dfrac{a}{x-(-2)}+5\\\\7=\dfrac{a}{0+2}+5\qquad\text{subtract 5 from both sides}\\\\2=\dfrac{a}{2}\qquad\text{multiply both sides by 2}\\\\4=a\to a=4\\\\\text{Finally:}\\\\f(x)=\dfrac{4}{x+2}+5

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Step-by-step explanation:

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3 years ago
What is the distance between point A and point B? Round to nearest tenth.
Sergeu [11.5K]

Answer:

d \approx 12.6

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

<u>Algebra II</u>

  • Distance Formula: d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Find points from graph.</em>

Point A (-4, 2)

Point B (8, 6)

<u>Step 2: Find distance </u><em><u>d</u></em>

Simply plug in the 2 coordinates into the distance formula to find distance <em>d</em>.

  1. Substitute [DF]:                    d = \sqrt{(8+4)^2+(6-2)^2}
  2. Add/Subtract:                       d = \sqrt{(12)^2+(4)^2}
  3. Exponents:                           d = \sqrt{144+16}
  4. Add:                                      d = \sqrt{160}
  5. Simplify:                                d = 4\sqrt{10}
  6. Evaluate:                              d = 12.6491
  7. Round:                                 d \approx 12.6
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Answer: Line D

Step-by-step explanation:

The points in the scatterplot are closest to line D.

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