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4 years ago

11

Jill Hartman earns $750 per week plus 3% of sales in excess of $6,500. If Jill sells $25,000 in the first week, her earnings are

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1 answer:

julsineya [31]4 years ago

4 0

尾171。11 劈柴灣，是個性質詢了？你說

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Describe how total job benefits and total employee compensation differ.

diamong [38]

<u>Difference between total job benefits and total employee compensation:</u>

<em>Employee compensation:</em>

The total employee compensation refers to the amount of money an employee is given in exchange for the tasks they complete for the employer.
Employee compensation is the most basic or we can say the minimum amount of money an employee is given. It mostly includes the salary of an employee.

<em>Total job benefits:</em>

Total job benefits are not necessarily provided in monetary means. As the name suggests, job benefits are the facilities and advantages provided by the company or the employer to the employees.
These benefits are generally performance- based, the better the performance, the better the benefits.
Job benefits may include health insurance policies, travel packages, transport facilities and much more.

5 0

3 years ago

The students in Mr. Wilson's Physics class are making golf ball catapults. The

Mnenie [13.5K]

Answer:

Part a) About 48.6 feet

Part b) About 8.3 feet

Part c) The domain is $0 \leq x \leq 48.6\ ft$ and the range is $0 \leq y \leq 8.3\ ft$

Step-by-step explanation:

we have

$y=-0.014x^{2} +0.68x$

This is a vertical parabola open downward (the leading coefficient is negative)

The vertex represent a maximum

where

x is the ball's distance from the catapult in feet

y is the flight of the balls in feet

Part a) How far did the ball fly?

Find the x-intercepts or the roots of the quadratic equation

Remember that

The x-intercept is the value of x when the value of y is equal to zero

The formula to solve a quadratic equation of the form

$ax^{2} +bx+c=0$

is equal to

$x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$-0.014x^{2} +0.68x=0$

so

$a=-0.014\\b=0.68\\c=0$

substitute in the formula

$x=\frac{-0.68(+/-)\sqrt{0.68^{2}-4(-0.014)(0)}} {2(-0.014)}$

$x=\frac{-0.68(+/-)0.68} {(-0.028)}$

$x=\frac{-0.68(+)0.68} {(-0.028)}=0$

$x=\frac{-0.68(-)0.68} {(-0.028)}=48.6\ ft$

therefore

The ball flew about 48.6 feet

Part b) How high above the ground did the ball fly?

Find the maximum (vertex)

$y=-0.014x^{2} +0.68x$

Find out the derivative and equate to zero

$0=-0.028x +0.68$

Solve for x

$0.028x=0.68$

$x=24.3$

<em>Alternative method</em>

To determine the x-coordinate of the vertex, find out the midpoint between the x-intercepts

$x=(0+48.6)/2=24.3\ ft$

To determine the y-coordinate of the vertex substitute the value of x in the quadratic equation and solve for y

$y=-0.014(24.3)^{2} +0.68(24.3)$

$y=8.3\ ft$

the vertex is the point (24.3,8.3)

therefore

The ball flew above the ground about 8.3 feet

Part c) What is a reasonable domain and range for this function?

we know that

A reasonable domain is the distance between the two x-intercepts

so

$0 \leq x \leq 48.6\ ft$

All real numbers greater than or equal to 0 feet and less than or equal to 48.6 feet

A reasonable range is all real numbers greater than or equal to zero and less than or equal to the y-coordinate of the vertex

so

we have the interval -----> [0,8.3]

$0 \leq y \leq 8.3\ ft$

All real numbers greater than or equal to 0 feet and less than or equal to 8.3 feet

8 0

3 years ago

What transformation was made for this triangle?

Musya8 [376]

Answer:

Dilation

Step-by-step explanation:

Dilation is when a shape is made bigger but the form of the shape does not change. So its enlarged.

7 0

3 years ago

Solve for X......:) <3

Vedmedyk [2.9K]

Answer:

x = 88

Step-by-step explanation:

All angles in a triangle equal 180 degrees. So our equation will be:

x + 48 + (x - 44) = 180

x + 48 + x - 44 = 180

2x + 48 - 44 = 180

2x + 4 = 180

2x = 176

x = 88

Hope this helps!

8 0

3 years ago

An oblique cylinder has a diameter of 14 units. The volume of the cylinder is 1,176π cubic units.

Kaylis [27]

Answer:

24 units

Step-by-step explanation:

The volume of the cylinder = πr²x

Where r is the radius of the base and x is the height of the cylinder.

πr²x = 1,176π

π×(14/2)²x = 1,176π

dividing by π both sides,

(14/2)²x = 1,176

7²x = 1,176

49x = 1,176

x = 1,176/49

= 24 units

7 0

3 years ago