a veterinarian purchases some medication for $19.50 and wants to make a $2 profit. what is the percent markup on this medication

Amelia and Joey decided to shoot arrows at a simple target with a large outer ring and a smaller bull's-eye. Amelia went first a

Alona [7]

Answer:

outer ring worth 14 pts

bull's-eye worth 74.333333 pts

Step-by-step explanation:

let the worth point of landing an arrow on the outer ring be "x" and on bull's eye be "y"

For amelia

$3x + 3y = 267$

For joey

$4x + 3y = 281$

subtracting the first equation from the second

$x = 14$

$3x + 3y = 267$

$42 + 3y = 267$

$3y = 223$

$y = 74.333$

3 0

3 years ago

6) Which relation describes a function? A) {(0, 0), (0, 2), (2, 0), (2, 2)} B) {(−2, −3), (−3, −2), (2, 3), (3, 2)} C) {(2, −1),

navik [9.2K]

Answer:

B) {(−2, −3), (−3, −2), (2, 3), (3, 2)}

Step-by-step explanation:

B) {(−2, −3), (−3, −2), (2, 3), (3, 2)}

each input of x (-2), (-3), (2), (3) does not have duplicated output value

6 0

3 years ago

use algebraic manipulation to find the minimum sum-of-products expression for the function x1x2'x3' + x1x2x4+x1x2'x3x4'

Dennis_Churaev [7]

Answer:

sum of products expression = x₁x₂x₃' + x₁x₂'x₄ + x₁x₂x₄

Step-by-step explanation:

Given function ( f ) = x₁x₂'x₃' + x₁x₂x₄ + x₁x₂'x₃x₄'

using algebraic manipulation

f = x₁ [ x₂'x₃' + x₂x₄ + x₂'x₃x₄' ]

= x₁ [ x₂'( x₃' + x₃x₄') + x₂x₄ ]

next apply Boolean rules

a + bc = ( a + b )(a + c )

a' + a =1

hence

minimum sum-of-products expression = x₁x₂x₃' + x₁x₂'x₄ + x₁x₂x₄

7 0

3 years ago

A+b+c=4 a²+b²+c²=10 a³+b³+c³=22 a4+b4+c²=?

iragen [17]

Answer:

34

Step-by-step explanation:

6 0

3 years ago

Let x be the average number of employees in a group health insurance plan, and let y be the average administrative cost as a per

Step2247 [10]

A scatter diagram has points that show the relationship between two sets of data.

We have the following data,

$\left\begin{array}{ccccccc}\mathrm{x}&3&7&15&32&74\\\mathrm{y}&40&35&30&25&17\end{array}\right$

where x is the average number of employees in a group health insurance plan and y is the average administrative cost as a percentage of claims.

To make a scatter diagram you must, draw a graph with the independent variable on the horizontal axis (in this case x) and the dependent variable on the vertical axis (in this case y). For each pair of data, put a dot or a symbol where the x-axis value intersects the y-axis value.

Linear regression is a way to describe a relationship between two variables through an equation of a straight line, called line of best fit, that most closely models this relationship.

To find the line of best fit for the points, follow these steps:

Step 1: Find $X\cdot Y$ and $X\cdot X$ as it was done in the below table.

Step 2: Find the sum of every column:

$\sum{X} = 131 ~,~ \sum{Y} = 147 ~,~ \sum{X \cdot Y} = 2873 ~,~ \sum{X^2} = 6783$

Step 3: Use the following equations to find intercept a and slope b:

$\begin{aligned} a &= \frac{\sum{Y} \cdot \sum{X^2} - \sum{X} \cdot \sum{XY} }{n \cdot \sum{X^2} - \left(\sum{X}\right)^2} = \frac{ 147 \cdot 6783 - 131 \cdot 2873}{ 5 \cdot 6783 - 131^2} \approx 37.05 \\ \\b &= \frac{ n \cdot \sum{XY} - \sum{X} \cdot \sum{Y}}{n \cdot \sum{X^2} - \left(\sum{X}\right)^2} = \frac{ 5 \cdot 2873 - 131 \cdot 147 }{ 5 \cdot 6783 - \left( 131 \right)^2} \approx -0.292\end{aligned}$

Step 4: Assemble the equation of a line

$\begin{aligned} y~&=~a ~+~ b \cdot x \\y~&=~37.05 ~-~ 0.292 \cdot x\end{aligned}$

6 0

3 years ago