Marcus works as a salesman at a car dealership. He is paid a base salary of $1,137.89 each month, and he receives a commission of $212.69 for each vehicle he sells. If last month Marcus earned $9,220.11, how many cars did he sell last month?

Answers

Answer 1

Answer:

He sold 38 cars

Step-by-step explanation:

first we subtract his base salary from how much he made, 9,220.11 - 1,137.80 = 8,082.22

then we divide that by the commission he gets from selling 1 car which is 212.29, the equation looks like: 8,082.22 / 212.69 and that equals 38 which means he sold 38 cars.


Related Questions

How to find the measure of an interior angle inside a regular polygon

Answers

Answer:

Step-by-step explanation:

[tex]\frac{180(n-2)}{n}[/tex] degrees, where n is the number of sides

The measure of an interior angle inside a regular polygon is given by;

[tex]\rm S = (n -2) \times 180[/tex].

What is the interior angle?

An interior angle of a polygon is an angle formed inside the two adjacent sides of a polygon. Or, we can say that the angle measures at the interior part of a polygon are called the interior angle of a polygon.

An Interior Angle is an angle inside a shape.

As per the angle sum theorem, the sum of all the three interior angles of a triangle is 180°.

Multiplying two less than the number of sides times 180° gives us the sum of the interior angles in any polygon.

The measure of an interior angle inside a regular polygon is determined by the following formula;

[tex]\rm S = (n -2) \times 180[/tex]

S = sum of interior angles and n = number of sides of the polygon.

To know more about interior angles click the link given below.

https://brainly.com/question/10638383

#SPJ4

What is f(4) for the function f(x) = 2x + 5?
f(4) =

Answers

Answer:

f(4) = 13

Step-by-step explanation:

f(4) = 2(4)+5
f(4) = 13

Answer:

13

Step-by-step explanation:

f ( x ) = 2x + 5

To find : f ( 4 )

f ( 4 ) = f ( x )

Here,

x = 4

So,

f ( 4 ) = 2 ( 4 ) + 5

        = 2*4 + 5

        = 8 + 5

f ( 4 ) = 13

Suppose that 25 students in an AP Statistics class independently do this exercise for homework and that all of their calculators are working properly. Find the probability that at least one of them makes a Type I error.

Answers

Using the binomial distribution, it is found that there is a 0.999977 = 99.9977% probability that at least one of them makes a Type I error.

What is the binomial distribution formula?

The formula is:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

x is the number of successes.n is the number of trials.p is the probability of a success on a single trial.

In this problem:

There are 25 students, hence n = 25.70% do not commit any error, hence 30% do and p = 0.3.

The probability that at least one commits an error is given by:

[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]

In which:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{30,0}.(0.3)^{0}.(0.7)^{30} = 0.000023[/tex]

Then:

[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.000023 = 0.999977[/tex]

There is a 0.999977 = 99.9977% probability that at least one of them makes a Type I error.

More can be learned about the binomial distribution at https://brainly.com/question/24863377

What would you drink to survive a extra 30 years?

A. Lean
B. Orange Juice
C. Mug

Answers

Lean bc I LOVE LEAN!!!

can someone help me? it’s due in a few hours

Answers

Answer:

cars value decreases in value exponentially

Step-by-step explanation:

cant really read it but say that the cars value decreases in value exponentially and compare that to however the other cars decrease in value over time

What is the word form for 407,219?
A
Four hundred seventy thousand and two hundred ninety
B
Four hundred seventeen thousand, two hundred nineteen
C
Four hundred seven thousand, two hundred nineteen
D
Four hundred seven thousand, two hundred and nineteen

Answers

Answer:

C or D Both basically

Step-by-step explanation:I read them

C -four hundred seven thousand, two hundred nineteen

(x+2)(x+7) Write in simplified form

Answers

Answer:

x^2+9x+14

Step-by-step explanation:

x×(x+7)+2×(x+7)

x^2+7x+2x +14

x^2+9x+14

Which statement describes the behavior of the function f (x) = StartFraction 2 x Over 1 minus x squared EndFraction?.

Answers

As x tends to infinity the function [tex]f(x) = \frac{2x}{1-x^{2} }[/tex] approaches zero.

Given function is:

[tex]f(x) = \frac{2x}{1-x^{2} }[/tex]

What is a function?

A function f(x) is a rule which relates two variables where x and y are independent and dependent variables.

Divide the numerator and denominator of the given function by x.

[tex]f(x) = \frac{2}{\frac{1}{x} -x}[/tex]

[tex]\lim_{x \to \infty} f(x) \\\\\lim_{x \to \infty} \frac{2}{\frac{1}{x} -x}[/tex]

As we know that as x approaches the infinity 1/x approaches 0.

So, [tex]\\\\\lim_{x \to \infty} \frac{2}{\frac{1}{x} -x} = \lim_{x \to \infty} \frac{2}{-x}[/tex]

[tex]\lim_{x \to \infty} \frac{-2}{x} =0[/tex]

Therefore, as x tends to infinity the function [tex]f(x) = \frac{2x}{1-x^{2} }[/tex] approaches zero.

To get more about functions visit:

https://brainly.com/question/25638609

Graph the line that represents the equation .
y = -2/3 x + 1

i really need ive tried multiple times and got it wrong every time

Answers

I would try Desmond graphing calculator it helps a lot. Or try putting a point at 1 on the y axis and then from there go over 2 negatively and up three

Determine the solution to the system of equations below.

x - 3y = 1
3x-5y = 11

Pls answer for 50 brainlist!!

Answers

Answer:

[tex]\boxed{\sf{x=7 \quad y=2}}[/tex]

Step-by-step explanation:

To solve this problem, isolate it on one side of the equation.

x-3y=1 and 3x-5y=11

x-3y=1: x=1+3y

x=1+3y

Substitute.

x=1+3y= 3(1+3y)-5y=11

Solve.

3+4y=11

Subtract by 3 from both sides.

3+4y-3=11-3

Solve.

11-3=8

Rewrite the problem down.

4y=8

Divide by 4 from both sides.

4y/4=8/4

Solve.

8/4=2

y=2

x=1+3y

x=1+3*2

Solve.

PEMDAS stands for:

ParenthesisExponentsMultiplyDivideAddSubtract

1+3*2

Multiply.

3*2=6

Add.

1+6=7

x=7

Therefore, the correct answer is x=7 and y=2.

I hope this helps you! Let me know if my answer is wrong or not.

y = x + 2
5x - 4y = -3
Solving systems by equations

Answers

Answer: x = 5, y = 7

Step-by-step explanation:

1. First, put the variables together/rearrange:

y - x = 2 & 5x - 4y = -3

2. Cancel out variable x by multiply the first equation by 5:

5y - 5x = 10 & 5x - 4y = -3

3. Add equations:

y = 7

4. Then determine x by plugging y back into the first equation y = x + 2:

x = 5

100 POINTS !! The trajectory of a potato launched from a potato cannon on the ground at an angle of 45 degrees with an initial speed of 70 meters per second can be modeled by the parabola f(x) = x − 0.002x2, where the x-axis is the ground. Find the height of the highest point of the trajectory and the horizontal distance the potato travels before hitting the ground. A.height: 125 m; distance: 500 m B.height: 250 m; distance: 22 m C. height: 500 m; distance: 125 m D. height: 22 m; distance: 250 m

Answers

Answer:

height: 125m; distance: 500m

Step-by-step explanation:

x = 250

f(x) = x − 0.002x2

f(x) = 250 − 0.002(250 )2

= 250 − 0.002(62,500)

= 250 − 125

= 125

250 times 2 = 500

[tex]\\ \rm\rightarrowtail y=x-0.002x^2[/tex]

So

Put 250

[tex]\\ \rm\rightarrowtail y=250-0.002(250)^2[/tex]

[tex]\\ \rm\rightarrowtail y=250-0.002(62500)[/tex]

[tex]\\ \rm\rightarrowtail y=250-125[/tex]

[tex]\\ \rm\rightarrowtail y=125m[/tex]

This is max height

Distance:-

2×height2×125500m

There are 100 cm in a meter. write an expression to find the number of centimeters in 8 meters.

Help me with this question plss

Answers

Answer:

800m

Step-by-step explanation:

If 100cm is equivalent to a meter (1 Meter). 8 Meters would be equivalent to 8 Meters multiplied by 100cm and divided by a meter (1 Meter)

Which angles are complementary to each other?

Answers

Answer:

<1 and <2

Step-by-step explanation:

Complementary angles are two angles which their measure add up to 90 degrees.

There are only one angle pair that meet this requirement:

angle 2 and angle 1

Write the following expression using an exponent.
1x(4.5)x(4.5)x(4.5)x(4.5)x(4.5)=

Answers

Answer:

4.5^5

Step-by-step explanation:

Answer:

(4.5)^5

Step-by-step explanation:


I’m thinking trapezoid and rhombus but I don’t know

Answers

It’s a parallelogram for sure

troy organizes a samll party there are 30 glasses of drinks at the party 20 of which contain an orange flavored drink what is the probability that a randomly selected drink will be orange flavored

Answers

66.67 percent you take the 20 and divide by 30 then multiply by one hundred

Answer:

66(2/3) %

Step-by-step explanation:

There are 30 possible outcomes because there are 30 cold drinks.

 The Probability of orange flavored  20/30   = 2/3 = 0.6666....

66.6666....%= 66(2/3) %

Which set of steps can be used to prove the sine sum identity, sin(x y) = sin(x)cos(y) cos(x)sin(y)?

Answers

The trigonometry identity sin(x + y) = sinx cosy + cosx siny.

What is sin(x + y) identity in trigonometry?

sin(x + y) is one of the identities in trigonometry for compound angles.

The angle (x + y) represents the compound angles.

sin(x + y) = sinx cosy + cosx siny

To prove sin(x + y) = sinx cosy + cosx siny

Consider OX as a rotating line anti-clockwise. Let angle XOY = a

the making of an acute angle b the rotation in the same direction is

angleYOZ = b , angle XOZ = a + b

From triangle PTR,

∠TPR = 90 - ∠PRT , ∠ROX = a

From the right-angled triangle PQO

sin(a + b) = PQ/OP

= (PT + TQ) / OP

= PT/OP + TQ/OP

= PT/PR × PR/OP + RS/OR × OR/OP

= cos (∠TPR ) sinb + sina cosb

= sina cosb + cosa sinb

if we replace a=x and b=y

Therefore, sin(x + y) = sinx cosy + cosx siny.

Learn more about trigonometry identity;

https://brainly.com/question/63577

Simplify this please
(5ab²c)^2

Answers

Answer:

25a^2b^4c^2

Step-by-step explanation:

step 1:

Remove the bracket by multiplying all the power inside the bracket with the power outside the bracket.

5^2a^2b^2x2c^2=25a^2b^4c^2

Good afternoon, please help me with this question and if u get it correct ill give u the brainlest

Answers

Answer:

5/6

Step-by-step explanation:

it comes out originally like 10/12 but if your simplify it it's 5/6

Answer:5/6

Step-by-step explanation: 12-2 =10 so 10/12 which simplifies to 5/6

The school has $3,582 to spend on markers. Each package of markers costs $9. How many packages of markers can the school buy?​

packages

Answers

Answer:

398

Step-by-step explanation:

3582 / 9 = 398

The length of a rectangular frame is represented by the expression 2x 10, and the width of the rectangular frame is represented by the expression 2x 6. Write an equation to solve for the width of a rectangular frame that has a total area of 140 square inches. 4x2 32x − 80 = 0 4x2 32x 60 = 0 2x2 32x − 80 = 0 x2 16x 60 = 0.

Answers

The equation to solve for the width of a rectangular frame that has a total area of 140 square inches is 4x²+32x-80=0.

What is the area of the rectangle?

The area of the rectangle is the product of its length and its breadth.

As it is given that the length of the rectangular frame is (2x+10), while the width of the rectangular frame is (2x+6). Also, it is mentioned that the area of the rectangular frame is 140 in².

Now we know the area is the product of length and breadth, therefore,

[tex]\rm \text{Area of rectangle} = length \times breadth[/tex]

[tex]140 = (2x+10)(2x+6)\\\\140 = 4x^2 + 12x + 20x + 60\\\\0=-140+4x^2 + 12x + 20x + 60\\\\4x^2 + 32 x -80=0[/tex]

Hence, the equation to solve for the width of a rectangular frame that has a total area of 140 square inches is 4x²+32x-80=0.

Learn more about the Area of Rectangle:

https://brainly.com/question/14383947

Answer:

A.)  4x2 + 32x − 80 = 0

Step-by-step explanation:

Just took the test

15 POINTS

Write an equation in standard form for the given circle

A.) (x+3)^2 + (y+6)^2 = 16
B.) (x-3)^2 + (y+6)^2 = 16
C.) (x+3)^2 + (y-6)^2 = 16
D.) (x-3)^2 + (y-6)^2 = 16

Answers

Equation of a Circle: (x - h)^2 + (y - k)^2 = r^2

---Center = (h, k)

---Radius = r (this value will need to be squared in the final answer)

Center = (-3, -6)

---h = -3

---k = -6

Radius = 4

Equation: (x + 3)^2 + (y + 6)^2 = 16

Correct Answer: A

Hope this helps!

No links just the Answer please!!!

Answers

Answer:Its -3.5

Step-by-step explanation:

A cylinder and a cone have the same volume. The cylinder has a diameter of 4 inches and a height of 3 inches. The cone has a diameter of 6 inches. What is the height of the cone?

Answers

Answer:

The height of the cone is 4 inches.

Solution :

We are given a cylinder and a cone of same volume i.e

[tex] \longrightarrow[/tex] Volume of cone = Volume of cylinder

And also the diameter of the cylinder is given 4 inches

[tex] \longrightarrow[/tex] Radius = [tex]\sf \dfrac{Diameter}{2}[/tex]

[tex] \longrightarrow[/tex] Radius = [tex] \sf\dfrac{4}{2}[/tex]

[tex] \longrightarrow[/tex] Radius = 2 inches

The height of cylinder is 3 inches. And the diameter of the cone is 6 inches

[tex] \longrightarrow[/tex] Radius = [tex]\sf\dfrac{Diameter}{2} [/tex]

[tex] \longrightarrow[/tex] Radius = [tex] \sf\dfrac{6}{2}[/tex]

[tex] \longrightarrow[/tex] Radius = 3 inches

First, let us recall the Formulas of volume of cylinder and cone:

[tex] \quad\longrightarrow\quad \sf {Cone = \dfrac{1}{3}\pi r^2 h }[/tex]

[tex] \quad\longrightarrow\quad \sf {Cylinder = \pi r^2 h }[/tex]

Now, we know that the volume of cone is equal to the volume of cylinder

[tex] \implies\quad \sf{\dfrac{1}{3}\pi r^2 h = \pi r^2 h }[/tex]

On putting the values:

[tex] :\implies\quad \sf{\dfrac{1}{3}\pi \times 3^2 \times h = \pi \times 2^2 \times 3 }[/tex]

[tex] :\implies\quad \sf{\dfrac{1}{\cancel{3}}\times 3.14 \times\cancel{ 9 }\times h = 3.14 \times 4 \times 3 }[/tex]

[tex] :\implies\quad \sf{3.14 \times 3 \times h = 3.14 \times 12 }[/tex]

[tex]: \implies\quad \sf{ h = \dfrac{ \cancel{3.14} \times 12 }{ \cancel{3.14} \times 3} }[/tex]

[tex] :\implies\quad \sf{ h =\cancel{ \dfrac{12}{3}}}[/tex]

[tex] :\implies\quad \underline{\underline{\pmb{\sf{h = 4 inches }}} }[/tex]

‎ㅤ‎ㅤ‎ㅤ‎ㅤ‎ㅤ~Hence the height of the cone is 4 inches.

Translate the following phrase to an expression: the difference between twenty and twice a number.

Answers

Answer:

20 - 2n

n = a number

Help on this pleasee

Answers

Answer: 40 degrees

Step-by-step explanation:

PLEASE HELP!! It's due tomorrow and I don't understand it..

Answers

Do you need help with a specific one or all of them?

The points represent the vertices of a polygon. Use a matrix to find the coordinates of the image after the given transformation. Graph the preimage and the image.

A(2, 3), B(–1, –4), and C(2, –2); a translation 1 unit left and 4 units down. 30 points

Answers

The translation of points A(2, 3), B(–1, –4), and C(2, –2), 1 unit left and 4 units down gives A'(1, -1), B'(-2, -8) and C'(1, -6)

What is transformation?

Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, translation, reflection and dilation.

Given the points A(2, 3), B(–1, –4), and C(2, –2), the translation 1 unit left and 4 units down gives:

A'(1, -1), B'(-2, -8) and C'(1, -6)

The translation of points A(2, 3), B(–1, –4), and C(2, –2), 1 unit left and 4 units down gives A'(1, -1), B'(-2, -8) and C'(1, -6)

Find out more on transformation at: https://brainly.com/question/4289712

What are the roots of the polynomial equation x superscript 4 baseline x squared = 4 x cubed minus 12 x 12? use a graphing calculator and a system of equations. round noninteger roots to the nearest hundredth. –12, 20 –2.73, 2, 2.73 –1.73, 1.73, 2 –20, 12

Answers

The roots of the provided polynomial equation of 4 degree are 2,2,1.73,-1.73.

What is a factor of polynomial?

The factor of a polynomial is the terms in linear form, which are, when multiplied together, give the original polynomial equation as a result.\

To find the roots of a polynomial, equate these factors of a polynomial to zero.

The given polynomial equation is,

[tex]x^4+x^2=4x^3-12x+12[/tex]

Take all the terms left side of the equation,

[tex]x^4+x^2-4x^3+12x-12=0\\x^4-4x^3+x^2+12x-12=0[/tex]

The factor form of the polynomial on solving the above equation, we get,

[tex](x-2)(x-2)(x-1.73)(x+1.73)=0[/tex]

Equate all the factors to zero, to find the roots. The roots we get are,

[tex]2,2,1.73,-1.73[/tex]

Hence, the roots of the provided polynomial equation of 4 degree are 2,2,1.73,-1.73.

Learn more about factor of polynomial here;

https://brainly.com/question/24380382

Answer:

–1.73, 1.73, 2

Step-by-step explanation:

Other Questions
This figure represents a ramp for a dollhouse that is being covered with fabric on all sides. How much fabric is needed to cover the ramp? 144 cm 138 cm 110 cm 66 cm What is one of the oldest religious practices? Communion Festivals Incense Prayer A boy stands 190m from a high wall and claps his hands,if he hears an echo 1.3 seconds later. calculate the speed of sound in air. Help pls!!!!!!!!!ddddddddddddddd The Pythagorean theorem states that a + b = c for a right triangle with leg lengths, a and b, and hypotenuse length, c.The hypotenuse of a right triangle is 5 units long and has the points (3, 0) and (0, 4) as end points. One of the legs has length 3.Use the Point and Segment tools to draw a right triangle at demonstrates the other leg length is 4. Please help with an explanation of how you found the answer because I am really confused. I will mark brainliest for best answer! The number 2 is a factor of _________.A) all odd numbersB) all even numbersC) all whole numbers how are organelles specialized to perform various tasks in a cell? How can a market be segmented using demographics? Is this a sentence?To the hills.Yes or no Why do 50% of kids aged 7-16 not attend school?A)They do not like itB)They have safety concerns C)They have already learned everything they need to knowD)They have to get a job to help support their family If the distance between two lines never changes,is it perpendicular,parallel,intersecting lines or rays Who was Timur and why is he important? Help picture below problem 11 Enter the number of rows needed and the number of seats that will be left over. Mr.B called Mrs.A, then called Ms.C. If Mr.B called Ms. C first, then Mrs. A, what property does this mimic? Associative, Commutative, or Distributive property. Choose the set of numbers with an average of 9.A) 3, 5, 7, 8, 12B) 2, 3, 6, 13, 16C) 2, 4, 8, 11, 20 Point G is on line segment FH. Given FG = 7 and GH = 2, determine the lengthFH. Brett create a function of X with seven points each in a different location on the grid he graph sixth of the points as shown use the add point tool to show the location of a point that could be the seventh point of Brett function How do you put 2hundreds 9tens 18ones in standard form