1answer.
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
Kobotan [32]
11 months ago
12

A salesperson makes a base salary of $15,000 per year plus a 8% commission on total sales for the year. The yearly salary can be

expressed as a linear function.
Mathematics
1 answer:
allochka39001 [22]11 months ago
4 0

The salary of the salesperson can be represented as "y" and the number of sales for the year will be represnted as "x". With this in mind the salary will be the fixed part (15000) plus the number of sales per year multiplied by 8 percent. With this in mind we have:

\begin{gathered} y(x)=15000+8\text{\%}\cdot x \\ y(x)=15000+\frac{8}{100}\cdot x \\ y(x)=15000+0.08\cdot x \end{gathered}

The function that represents his yearly salary is "y(x)=15000+0.08*x".

To find his salary when he sells $500,000 in a year we need to make x equal to that value. Therefore:

\begin{gathered} y(500000)=15000+0.08\cdot500000 \\ y(500000)=15000+40000 \\ y(500000)=55000 \end{gathered}

His salary will be $55,000 for that year.

You might be interested in
Please help me with 11 and 12. The first best answer gets brainlist.
ololo11 [35]
Bracelet

There are 2 bracelets and she possibly picks three. :)
5 0
3 years ago
A bird sees a worm on the ground 50 m. below. The bird dives for the worm at a speed of 6 m/sec. The function h\left( t \right)
iragen [17]

<u>Given</u>:

The height of the bird at time t is given by the function h(t)=-4.9t^2+6t+50

We need to determine the time it takes the worm to be eaten by the bird.

<u>Time taken:</u>

The time can be determined by substituting h(t) = 0 in the function.

Thus, we have;

0=-4.9t^2+6t+50

Switch sides, we get;

-4.9t^2+6t+50=0

Let us solve the equation using the quadratic formula.

Thus, we get;

t=\frac{-6 \pm \sqrt{6^{2}-4(-4.9) 50}}{2(-4.9)}

Simplifying, we get;

t=\frac{-6 \pm \sqrt{36+980}}{-9.8}

t=\frac{-6 \pm \sqrt{1016}}{-9.8}

t=\frac{-6 \pm 31.87}{-9.8}

The values of t are given by

t=\frac{-6 + 31.87}{-9.8}   and   t=\frac{-6 - 31.87}{-9.8}

t=\frac{25.87}{-9.8}    and   t=\frac{-37.87}{-9.8}

t=-2.4    and   t=3.9

Since, the value of t cannot be negative, then t=3.9

Thus, the time taken by the bird to eat the worm is t=3.9 seconds.

Hence, Option B is the correct answer.

5 0
3 years ago
Solve for J MUST SHOW WORK<br> j/-2 + 7 = -12<br><br> thx!!
Ronch [10]

Answer:

j=38

Step-by-step explanation:

j/-2 +7=-12,  subtract 7 from both sides of the equation and you get j/-2 = -19, then you multiply j/-2 by -2/1  and multiply -19 by -2/1 to get j= 38

5 0
2 years ago
the length of a varies string varies inversely as the frequency of its vibrations. A violin string 10 inches long vibrates at a
kolbaska11 [484]

Answer: <u><em>512</em></u>

Step-by-step explanation: <u><em>the length of a varies string varies inversely as the frequency of its vibrations. A violin string 10 inches long vibrates at a frequency of 512 cycles per second. Find the frequency of an 8-inch string.​</em></u>

<u><em /></u>

4 0
3 years ago
Read 2 more answers
Which of the following is not part of polyhedron.
Rom4ik [11]

Answer:

C

Step-by-step explanation:

Oblique. The other three are used to describe a polyhedron. They are related by the following formula

V + F - E = 2.

Where

  • V = number of vertexes
  • F = the number of faces
  • E = edges

For example consider a common cube, like a sugar cube.

It has 6 faces (f)

It has 8 vertexes (V)

It has 12 edges. E

6 + 8 - 12 = 14 - 12 = 2

8 0
3 years ago
Other questions:
  • The variable is Z is inversely proportional to X. When X is 6, Z has the value 0.5. What is the value of Z when X = 10
    8·1 answer
  • 6(7x+12y) equals too?
    10·1 answer
  • Two sides and an angle​ (SSA) of a triangle are given. Determine whether the given measurements produce one​ triangle, two​ tria
    9·1 answer
  • How many multiplication properties are
    5·1 answer
  • Morris has 2 3/4 gallons of ice tea. He gives 3/7 of it to her friend. How many gallons of ice tea does Morris have left?
    11·1 answer
  • Write the numbers -|-2|, -(8), |-3|, -7 in order from smallest to largest.
    12·1 answer
  • About 3.3 × 106 students graduated from high school last year. If 0.66 of those graduates enrolled in college, approximately how
    6·1 answer
  • if the slopes of the lines in the system are equal and their y-intercepts are also equal, then the system is blank and blank
    6·1 answer
  • In a group of 60 students, 18 students take Algebra I, 20 students take
    5·1 answer
  • Select all the ratios that are equivalent to each other
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!