answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
geniusboy
5 days ago
7

The hourly wage increases each employee receives each year depends on the number of years of service. Every three years of servi

ce means an increase of $0.50 per hour. So, employees that have been with the company for less than three years can expect to receive an increase of $0.50 per hour. Employees that have been with the company for at least three years, but less than six years can expect an increase of $1.00 per hour. Employees that have been with the company for at six years, but less than nine years, receive an increase of $1.50 per hour. And, employees of at least nine years, but less than twelve years receive an increase of $2.00 per hour. Choose a function to represent this scenario
Mathematics
1 answer:
Inessa [3.9K]5 days ago
6 0

Answer:

________{0.50 if x < 3

________{1.00 if 3 ≤ x < 6

f(x) = ____{1.50 if 6 ≤ x < 9

________{2.00 if 9 ≤ x < 12

Step-by-step explanation:

Based on the details provided:

Employees with less than 3 years receive an increase of $0.50 hourly

Employees with at least 3 years but under 6 years receive $1.00 increase hourly

Employees with a minimum of 6 years and less than 9 get $1.50 increase hourly

Employees with at least 9 years but below 12 years receive $2.00 increase hourly

This information can be expressed as a piecewise function:

________{0.50 if x < 3

________{1.00 if 3 ≤ x < 6

f(x) = ____{1.50 if 6 ≤ x < 9

________{2.00 if 9 ≤ x < 12

The conditions are outlined in the piecewise function above with x indicating the number of years employed.

You might be interested in
In three hours, Company ABC can make X ball bearings. Company DEF can make X ball bearings in 4 hours. Company GHI can make X ba
AnnZ [3877]

Answer:

X ball bearings can be produced in 1 hour and 20 minutes

Step-by-step explanation:

Proportions

Proportions serve as an essential method for solving various common challenges. We understand that:

Company ABC manufactures X ball bearings in 3 hours.

Company DEF produces X ball bearings in 4 hours.

Company GHI generates X ball bearings in 6 hours.

In a single hour, each company is capable of producing:

ABC: X/3 ball bearings

DEF: X/4 ball bearings

GHI: X/6 ball bearings

By collaborating, they can produce

\displaystyle \frac{X}{3}+\frac{X}{4}+\frac{X}{6}

ball bearings. Operating together

\displaystyle \frac{4X+3X+2X}{12}=\frac{9X}{12}=\frac{3X}{4}

If their output is 3/4 of a ball bearing in one hour, then it will take

\displaystyle \frac{4}{3} hours to create one complete ball bearing. This translates to 1 hour and 20 minutes.

X ball bearings can be produced in 1 hour and 20 minutes

8 0
17 days ago
Starting from 300 feet away, a car drives toward you. It then passes by you at a speed of 48 feet per second.The distance d (in
Zina [3914]
From a distance of 300 feet, a car approaches you at a speed of 48 feet per second. The distance d (in feet) of the car from you after t seconds can be described by the equation ​d=|300−48t|​. At what moments does the car find itself 60 feet away from you?
4 0
5 days ago
The mapping diagram shows a functional relationship. A mapping diagram shows a relation, using arrows, between domain and range
Svet_ta [4321]

Answer:

(3, -1) That’s my opinion.

Step-by-step explanation:

9 0
11 days ago
Read 2 more answers
Two of the steps in the derivation of the quadratic formula are shown below. Step 6: StartFraction b squared minus 4 a c Over 4
babunello [3635]

Explanation:

Step-by-step clarification:

Referring to step 6

(b² — 4ac) / 4a² = (x + b/2a)²

The mistake in the question is that it should be (x + b/2a)²

According to step 7

±√(b² —4ac) /2a = x + b/2a

The error in the question is that it should be divided by 2a, not 1a.

1. The transition from step 6 to step 7 involves taking the square roots of both sides

(b² — 4ac) / 4a² = (x + b/2a)²

Taking the square of both sides

√(b²—4ac) / √4a² = √(x + b/2a)²

√(b²—4ac) / 2a = x + b/2a

This forms step 7 correctly.

Next, subtracting b/2a from both sides

√(b²—4ac) / 2a - b/2a= x + b/2a -b/2a

√(b²—4ac) / 2a — b/2a = x

(√(b²—4ac)  — b)/2a = x

x = [—b ± √(b²—4ac)] / 2a

This gives the desired formula.

The discriminant is D = b²—4ac.

6 0
9 days ago
Read 2 more answers
An experiment consists of determining the speed of automobiles on a highway using a radar equipment. The random variable in this
zzz [4022]

Answer:

the speed value produced by the radar equipment.

Step-by-step explanation:

In an experiment, a random variable is typically referred to as a dependent variable. In this context, the random variable pertains to the speed value produced by the radar equipment. This value is reliant on the actual speeds of the cars that go past the equipment. A higher speed results in a greater value shown by the radar. Thus, it relies entirely on the automobiles.

8 0
5 days ago
Other questions:
  • George put some cards into a basket. Then he drew 3 cards out of the basket. Is this a random sample of cards in the basket? Why
    11·1 answer
  • Suppose a shipment of 400 components contains 68 defective and 332 non-defective computer components . From the shipment you tak
    10·1 answer
  • Recycled cd’s incorporated, offers a choice of 5 used CD for $24, with each additional CD costing $5. Write a cost function for
    12·1 answer
  • A mattress store sold 1,330 mattresses in one year. If 30% of the mattresses sold were king size mattresses, how many king size
    8·2 answers
  • The resting heart rates for 80 women aged 46–55 in a simple random sample are normally distributed, with a mean of 71 beats per
    8·2 answers
  • Lúcia is using energy at a rate of 420420420 kilocalories (\text{kcal})(kcal)left parenthesis, k, c, a, l, right parenthesis per
    12·2 answers
  • Ariel has a plastic ice cream cone in her food playset. The ice cream cone is a half-sphere sitting on top of a cone. What is th
    11·2 answers
  • There was 5/8 of a pie left in the fridge. Daniel are 1/4 of the left over pie. How much of a pie did he eat
    14·2 answers
  • While driving home for the holidays, you can’t seem to get Little’s Law out of your mind. You note that your average speed of tr
    9·1 answer
  • Suppose on a certain planet that a rare substance known as Raritanium can be found in some of the rocks. A raritanium-detector i
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!