A salesman is paid $450 a week, plus a commission of 35 cents for every item that he sells. Write a linear function where the paycheck, P, of the salesman is a function of the number, N, of items he sells. If the salesman only has 1400 items available to sell each week, find the domain and range of the function.

Answers

Answer 1

Answer:

Step-by-step explanation:

1400×0.35

490+450

940

Answer 2

Answer:

The domain is thus [0, 1400].

The range is thus [$450, $940]

Step-by-step explanation:

A suitable function is P(N) = ($450) + ($0.35 / item)*N, where $450 is the base pay per week and N is the number of items sold.

In this case the salesman has only 1400 items available to sell each week.  Therefore N begins at 0 (no items to sell) and ends at 1400 (the max number of items available to sell).  The domain is thus [0, 1400].

The smallest amount the salesman could receive would be when he has not sold any items:  $450.  

The max amount is then $450 + ($0.35/item)(1400 items), or

                                         $450 + $490, or

                                          $940

The range is thus [$450, $940]


Related Questions

7.) Evaluate the expression.
12 - 3V 25

Answers

Answer:

-3

Step-by-step explanation:

[tex]\sqrt{25}[/tex] is equal to 5, so we can sub it in the equation.

This gives 12-3×5 or 12-15.

This solves to -3.

**This content involves simplifying surds, which you may wish to revise. I'm always happy to help!

If GH = HI And FI =10 what is GI

Answers

Answer:

20

Step-by-step explanation:

By HL and CPCTC, GF = FI, so GI = 2FI = 2(10) = 20.

Help fast it is math and really fast need help

Answers

Given:

The table of value and y is inversely proportional to square of x.

To find:

The value of c and d.

Solution:

It is given that y is inversely proportional to square of x. So,

[tex]y\propto \dfrac{1}{x^2}[/tex]

[tex]y=k\dfrac{1}{x^2}[/tex]               ...(i)

Where, k is the contant of proportionality.

From the given table it is clear that [tex]y=4[/tex] and [tex]x=3[/tex]. Putting these values in (i), we get

[tex]4=k\dfrac{1}{3^2}[/tex]

[tex]4=\dfrac{k}{9}[/tex]

[tex]4\times 9=k[/tex]

[tex]36=k[/tex]

Putting [tex]k=36[/tex] in (i), we get

[tex]y=36\dfrac{1}{x^2}[/tex]

[tex]y=\dfrac{36}{x^2}[/tex]             ...(ii)

Putting [tex]x=5,y=c[/tex] in (ii), we get

[tex]c=\dfrac{36}{(5)^2}[/tex]

[tex]c=\dfrac{36}{25}[/tex]

Putting [tex]x=d,y=2[/tex] in (ii), we get

[tex]2=\dfrac{36}{d^2}[/tex]

[tex]d^2=\dfrac{36}{2}[/tex]

[tex]d^2=18[/tex]

Taking square root on both sides, we get

[tex]d=\pm \sqrt{18}[/tex]

[tex]d=\pm 3\sqrt{2}[/tex]

Therefore, the required values are [tex]c=\dfrac{36}{25}[/tex] and [tex]d=\pm 3\sqrt{2}[/tex].

Answer:

8.238

Step-by-step explanation:

it might not be right, but it was not fast either XDDD

dang, i took to long to tell u

:)

What is the value of x?

Answers

Answer:

Solution given:

sin 47=opposite/hypotenuse

Sin 47=x/18

x=sin47*18

x=13.16ft

Answer:

ammaamakamamMN8181(18736

Step-by-step explanation:

88271(1(1+1+382(2(#!#

Find the value of the y-intercept of the line whose equation is 5x - 3y = -12.

A. -12/5
B. -4
C. 4

Answers

Answer:

C. 4 is the right answer!

Step-by-step explanation:

se cumple que: A^2 + B = 486 y el M.C.D. de A y B es 9. ¿Cuál es el valor de B

Answers

Answer:

i dont know spanish

Step-by-step explanation:

plzz help I will mark brainliesttttt

Answers

Answer:

HOPE IT HELPED U .....

Step-by-step explanation:

a). f(5)= 2x +6

= 2 *5+6

= 10+6

=16

(b). g (9)= -12x+4

= -12*9+4

= -108 +4

=-104

(c). f(5)+f(9)= 16+(-104)

=-88

Answer:

Step-by-step explanation:

f(x)=2x+6

f(5)=2*5+6

f(5)=10+6

f(5)=16

g(x)=-12x+4

g(9)=-12*9+4

g(9)=-108+4

g(9)=-104

complete the following proof by filling in the missing parts. NO LINKS

Answers

Answer:

below

Step-by-step explanation:

a.. it divides the triangle into two equal parts

b.. it is an isosceles triangle

c.. the base line of a mid point are equal

d.

g. two angles are equal in isosceles triangle

What is the value of x in the solution to the system of equations shown???
-7
1.6
2.4
4

Answers

Answer:

x = 4

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right  

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Algebra I

Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

7x + y = 14

-2x - y = 6

Step 2: Solve for x

Elimination

Combine 2 equations:                                                                                     5x = 20[Division Property of Equality] Divide 5 on both sides:                                  x = 4

Please help me it’s for a quiz

A fenced pasture has a central rectangular corral within it that measures 8m by 5m.
The total area of the fenced pasture (outside the corral) is three times the area of the central corral.
What is the area of the central corral?.
If the width of the pasture border is the same for each side of the central corral,
what is the width of the border?
Draw a labeled picture, use let statements and show your work.

Answers

Answer:

*cough**cough* Ms. Roth?

plss Pa answer po!!!!!!!!!!!!!​

Answers

Equation 1: 12-x=5 (Answer is 7)

Equation 2: 60-x=25 (Answer is 35)

Answer:

ronalyn has 7 oranges

7 + 5 = 12

aurthur has Php 35.00

25.00 + 35.00 = 60.00

hope it helps u..

what is the length of the missing leg?

Answers

Answer:

[tex]a=\sqrt{609}\\\\a\approx 24.67793[/tex]

Step-by-step explanation:

To solve for the leg of the missing right triangle, one must use the Pythagorean theorem. The Pythagorean theorem states the following,

[tex]a^2+b^2=c^2[/tex]

Where (a) and (b) are the sides adjacent to or next to the right angle. (c) is the side opposite the right angle. Substitute in the given values and solve for the unknown,

[tex]a^2+b^2=c^2\\[/tex]

Substitute,

[tex]a^2+40^2=47^2\\[/tex]

Simplify,

[tex]a^2+1600=2209\\[/tex]

Inverse operations,

[tex]a^2=609[/tex]

[tex]a=\sqrt{609}\\\\a\approx 24.67793[/tex]

Answer:

b = 9 mm

Step-by-step explanation:

Using Pythagoras; identity in the right triangle

b² + 40² = 41²

b² + 1600 = 1681 ( subtract 1600 from both sides )

b² = 81 ( take the square root of both sides )

b = [tex]\sqrt{81}[/tex] = 9 mm

The original price of a skateboard, not including tax, was $96. Charlie bought the skateboard on sale, and he saved 30% off of the original price.

What was the sale price of the skateboard?

Answers

96
-30
——
66

Answer: the total of the skateboard was $66

Given the similar triangles at the left, write a similarity statement.

HELP IS NEEDED!!!!! PLEASE HELP ME ASAPPP!!!

Answers

Answer:

∆ABC~=∆PQR

Angle BAC=QPR

How do you know what method (SSS, SAS, ASA, AAS) to use when proving triangle congruence?
Provide the definitions of these congruency methods.

Answers

Answer:

it depends on the size and angles that are given

SSS means side side side

SAS means side angle side

ASA means angle side angle

AAS means angle angle side

Pls help. What is the appropriate congruent for these triangles

Answers

Answer:

ASA

Step-by-step explanation:

In given triangle

Line BC = Line QR

Angle ABC = Angle PQR

Angle ACB = Angle PRQ

Computation:

Angle ABC = Angle PQR (Angle)

Line BC = Line QR (Side)

Angle ACB = Angle PRQ (Angle)

So,

ΔABC ≅ ΔPQR

By Angle Side Angle property

ASA

The Earth has a diameter of about 7,917.5 miles. What is the surface area of our planet? (Show your work, including the formula, along with your answer. Round your answer to the nearest tenth)

Answers

Answer:

196,836,571.6 miles²

Step-by-step explanation:

the earth is shaped like a sphere. the surface area of the earth can be determined by calculating the surface area of a sphere

surface area of a sphere = 4πr²

π= 3.14

r = 7,917.5 / 2 = 3958.75 miles

the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.

A radius is half of the diameter

the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero

4 x 3.14 x 3958.75² = 196,836,571.6 miles²

Find sin
A. 3/5
B.4/5
C.1
D.5/4

Answers

Answer:

Sin < A is 4 / 5

Step-by-step explanation:

sin = Opposite side / Hypotenuse side

sin = 8 / 10

sin = 4 / 5

|- 3x| >= - 7
CAN SOMEONE PLEASE GIVE ME THE SOLUTION SET TO THIS INEQUALITY( WORTH 100 POINTS)

Answers

Answer:

x < [tex]\frac{7}{3}[/tex]

Step-by-step explanation:

Have a great summer :)

Answer:

someone answered this and its correct

Step-by-step explanation:

:D

1. Which events below are dependent?
A. rolling a 6 on a die three times in a row
B. tossing a coin twice and it lands heads once
C. winning two consecutive games of bingo
D. randomly choosing a class president and vice-president

Answers

Answer:B

Step-by-step explanation:

A lamp post 15 feet high casts a shadow
that is 12 feet long. At the same time a
stop sign 10 feet high casts a shadow how
many feet long?

Answers

Here you go! I decided to write it down for you. Sorry for the bad handwriting! :)

A basketball team wants to paint half of free-throw circle grey. If the circumference of the free-throw is 30.77, what is the area that will be painted grey. Use 3.14 or pie.

Answers

Answer:

3.14

Step-by-step explanation:

Because you know it's the right answer.

Explain how rays AB and AC form both a line and an angle.

Answers

Answer:

Angles are rays with a shared endpoint.

Lines extend forever in either direction.

Rays AB and AC extend forever in either direction.

Step-by-step explanation:

Answer:

An angle is defined as two rays with a common endpoint, so CAB (or BAC) is an angle. A line is described as an infinite set of points that extend forever in either direction, which these rays also do.

Step-by-step explanation:

Use the graph that shows the solution to
f(x) = g(x).
f(x) = 1+2x/x=
g(x) = 2+x
What is the solution to f(x) = g(x)?
Select each correct answer.

Answers

Answer:

The solution for f(x) = g(x) are;

x = 1 and x = -1

Step-by-step explanation:

The given equations for the functions, g(x) are;

[tex]f(x) = \dfrac{1 + 2\cdot x}{x}[/tex]

g(x) = 2 + x

The solution for f(x) = g(x), is given by equating the equations of the two functions as follows;

When f(x) = g(x), we have;

[tex]\dfrac{1 + 2\cdot x}{x} = 2 + x[/tex]

By cross multiplication, we have;

1 + 2·x = x × (2 + x) = 2·x + x²

∴ x² + 2·x - 2·x - 1 = 0

x² - 1 = 0

(x - 1)·(x + 1) = 0

x = 1, or x = -1

f(x) = g(x) = 2 + 1 = 3, or 2 - 1 = 1

Therefore, the solution for f(x) = g(x) are;

f(x) = g(x) = 3 or 1 where x = 1 and x = -1.

Answer: a , b

Step-by-step explanation:

what is the distributive property of 6(14+7)

Answers

Answer:

126

Step-by-step explanation:

6 (14 + 7)

6 (21)

126

What is the interquartile range of the data set shown below?
25, 28, 32, 35, 36, 40, 46

Answers

Answer:

IQR = 12

Step-by-step explanation:

interquartile range is the difference between quartile 3 and quartile 1

in this set of data Q3 = 40 and Q1 = 28

so IQR = 12

Help me!! Please help me find the answer!!

Answers

Answer:

x = 42°

Step-by-step explanation:

You can mark the opposite angle from 96° as 96° and the 2 other unknowns as y.

96 • 2 + 2y = 360

168 = 2y

y = 84

x is half of y.

84 ÷ 2 = 42

Answer:

[tex]x=42^{o}[/tex]

Step-by-step explanation:

Area of a triangle is 180 degrees

Here both the triangles are same so, form an equation:

[tex]x+x+96=180[/tex]

[tex]2x+96=180[/tex]

[tex]2x=180-96[/tex]

[tex]2x=84[/tex]

[tex]x=84/2[/tex]

[tex]x=42^{o}[/tex]

If triangle ABC is similar to triangle PQR, which equation is true?
AB/PO = 1
AB = PO
AB/PO = BC/QR
AB /PO = QR/BC

Answers

Answer:

AB/ PQ = BC/QR

Step-by-step explanation:

In similar triangles, ratio of corresponding sides are equal.

So, [tex]\frac{AB}{PQ}= \frac{BC}{QR}=\frac{AC}{PR}[/tex]

During a school event, Noah is selling pizza at the food stand for $1.25 per slice. How many slices of pizza would Noah need to sell to earn $120? Explain your reasoning.

Answers

Answer:

96

Step-by-step explanation:

120/1.25=96

Noah needs to sell 96 slices of pizza to earn $120.

Using the graph, determine the value of the slope.
v
CO 3
What is the slope?
4
2
What is true about the graph?
4
-2
-2
Intro
Done

Answers

Answer:

gradient of horizontal slope is 0

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