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]
1 year 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]1 year 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
Write the equation in standard form for the circle with center (5,0) passing through (-1, 9/2)
andreev551 [17]

Answer:

(x - 5)^2 + y^2 = 225/4,

or you could write it as (x - 5)^2 + y^2 = 56.25.

Step-by-step explanation:

The factor form is

(x - h)^2 + (y - k)^2 = r^2  where the center is (h, k) and r = the radius.

So we have:

(x - 5)^2 + (y - 0)^2 = r^2

As the point  (-1, 9/2) is on the line:

(-1 - 5)^2 +  (9/2)^2 = r^2

r^2 =  36 +  81/4

r^2 = 225/4.

So  substituting for r^2:

(x - 5)^2 + (y - 0)^2 = 225/4

(x - 5)^2 + y^2 = 225/4 is the standard form.

3 0
3 years ago
Help me out please guys
kolbaska11 [484]

Answer:

The answer is D,  g(x)=-2^x

Step-by-step explanation:

By graphing each one in a graphing tool like Desmos, you can determine which one it is.

If your looking for an actual explanation on how it is found, I can't really help you on that one.

4 0
3 years ago
The function f(x) = −x2 − 9x + 10 shows the relationship between the vertical distance of a diver from a pool's surface f(x), in
mote1985 [20]

Answer:

Zeros of a function: x = 1 and x = -10

Step-by-step explanation:

A zero of a function is the value of x when f(x) = 0. In other words it is the intersect point between x and y=f(x), when y =0.

First we need to make f(x)=0, so we would have: -x^{2}-9x+10=0.

If we factorize this quadratic function, we would have: (x+10)(x-1)=0

So we get x = -10 and x = 1.

  • x = 1 means that the diver hits the water 1 foot away horizontally from the board.
  • x=-10 means the diver hits the water 10 feet behind the diving board.

Hope it helps!

4 0
3 years ago
Charles is 19 years old. his grandfather is 67 years older than he. what was thee total age 9 years ago?
almond37 [142]
Today: x=19
y=67+19=86

9 years ago: x=19-9=10
y=86-9=77

The total age 9 years ago: x+y=10+77=87
3 0
3 years ago
Read 2 more answers
Question 5 plz help !!!!!!!
deff fn [24]

Answer:

<h3>4.c</h3><h3>5.a</h3>

Step-by-step explanation:

<h3>#CARRY ON LEARNING</h3><h3>#MARK BRAINLITS</h3>
6 0
3 years ago
Read 2 more answers
Other questions:
  • You originally draw a design for an art contest on a 2 in. x 5 in. card. The second phase of the contest requires the drawing to
    15·1 answer
  • A milkshake recipe calls for 1/3 cup of milk for each milkshake. If a server has 15/8 cups of milk, what is the maximum number o
    8·1 answer
  • An employee’s salary for Alar Services is $37,500. Next year, she will get an 8% increase in salary. How much is her new salary
    5·1 answer
  • For what value of X must the quadrilateral be a parallelogram X +5 equals 2X -5
    11·1 answer
  • a cell phone company has a basic monthly plan of $40plus $0.45 for many minutes ised over 700. John was charged a total of $48.1
    13·1 answer
  • A movie theater seats 500 people. For any particular show, the amount of money the theater makes is a function, m(n), of the num
    11·1 answer
  • Help!!!!!!please help
    15·1 answer
  • List three different examples of rational numbers
    8·1 answer
  • What is 28% of 25 in fraction form with 100 as a denominator? For example, 8/100
    7·2 answers
  • In solving the following problem for x, how do we get the bases to be the same? 2^x-4= 4​
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!