The points (10,8) and (4,5) fall on a particular line. What is its equation in point-slope form?

The table below shows the typical hours worked by employees at a company. A salaried employee makes $67,000 per year. Hourly emp

alukav5142 [94]

Answer:

Salaried pay. Salaried employees make more per week than hourly employees.

Step-by-step explanation:

A salaried employee makes $67,000 per year. To know which option is better, we need to calculate how much hourly employees make in year.

An hourly employee needs to work 44 hours a week (0+10+8+8+7+6.5+4.5 = 40). So the first 40 hours will be paid 25$ per hour and the next 4 will be paid $37.50 per hour. So an hourly employee will make $1150 a week (40*$25 + 4*$37.50 = $1150).

Considering that a month has 4 weeks, and a year has 12 months, an hourly employee will make $55,200 a year ($1150*4*12=$55,200).

An hourly employee makes $55,200 a year, while a salaried employee makes $67,000. So I would recommend the option c) to a new employee.

8 0

2 years ago

Read 2 more answers

Write the expanded form of 24.357 using fractions or decimal

vlabodo [156]

20.000 + 4.000 + 0.300 + 0.050 + 0.007

6 0

3 years ago

Given the equations f(x) = x + 4 and d (x) = 2x + 5, find: f (1) + d (2)

Lina20 [59]

1 = x + 4
3 = x

2 = 2x + 5
3 = 2x
3/2= x

3 0

3 years ago

The graph of the function showing the path of a soccer ball thrown by a goalie in a video game, f(x) = –0.05x2 + 2.5x + 5.2, is

Tju [1.3M]

Answer:

The correct option is 4.

Step-by-step explanation:

The given function is

$f(x)=-0.05x^2+2.5x+5.2$

Where f(x) is height of the ball and x is the distance.

It is a polynomial function with degree 2. All polynomial functions are defined for all real numbers, therefore the mathematical domain of the function is all real numbers.

$-\infty$

Factorize the given function.

$f(x)=-0.05(x^2-50x-104)$

$f(x)=-0.05(x^2-52x+2x-104)$

$f(x)=-0.05(x(x-52)+2(x-52))$

$f(x) = -0.05 (x - 52) (x + 2)$

Put f(x)=0 to find the x intercepts.

$0 = -0.05 (x - 52) (x + 2)$

Equate each factor equal to 0.

$x=52,-2$

Therefore at x=52 and -2, the graph of f(x) intersects x-axis. Before x=-2 and after x=52 the values of f(x) is negative. Height cannot be negative, therefore reasonable domain is lie between -2 to 52.

Distance cannot be negative, therefore the reasonable domain must be positive.

$0\leq x\leq 52$