You are a car salesperson and make $17.50 per hour. You are paid on a biweekly basis. Your boss encourages a competition between employees by letting you know that you will receive $100 for each new car you sell. In the first week, you work 20 hours and sell 2 cars. In the second week, you work 30 hours and sell 3 cars. How much will your pay be at the end of the these two weeks?

Answers

Answer 1

Answer:

Your pay at the end of the these two weeks will be $1,375

Step-by-step explanation:

In the first place, it is convenient to calculate your salary each week, and then simply add the salary for each week and obtain the fortnightly pay.

In the first week you work 20 hours and sell 2 cars. Knowing that you earn $ 17.50 per hour and you receive $ 100 for each new car that you sell, then to obtain the payment in this first week you perform the calculation:

20 hours* $17.50 per hour + 2 cars * $100 for each car= $350 + $200 = $550

In the second week you work 30 hours and sell 3 cars. Then to obtain the payment in this second week you perform the calculation:

30 hours* $17.50 per hour + 3 cars * $100 for each car= $525 + $300 = $825

Then your salary at the end of these two weeks is calculated by:

Payment of the first week + Payment of the second week

$550 + $825 = $1,375

Another way to solve this problem is, first, add the total number of hours you did during these two weeks and the number of cars sold:

hours=  number of hours in the first week + number of hours in the second week= 20 hours + 30 hours= 50 hourscars=  number of cars sold in the first week + number of cars sold in the second week= 2 cars + 3 cars= 5 cars

Then your salary at the end of these two weeks is calculated by:

50 hours* $17.50 per hour + 5 cars * $100 for each car= $525 + $300 = $1,375

Note that either way you get the same result.

Your pay at the end of the these two weeks will be $1,375


Related Questions

An equilateral triangle with side lengths of 8.7 centimeters is shown. An apothem has a length of a and the radius has a length of 5 centimeters. The apothem and radius form a triangle with a base length of b. Which statements about finding the area of the equilateral triangle are true? Select three options

Answers

The image of the triangle is missing, so i have attached it.

Also, the options are;

A) The apothem can be found using the Pythagorean theorem.

B) The apothem can be found using the tangent ratio.

C) The perimeter of the equilateral triangle is 15 cm.

D) The length of the apothem is approximately 2.5 cm.

E) The area of the equilateral triangle is approximately 65 cm².

Answer:

Options A, B & D are true

Step-by-step explanation:

A) We are told that the triangle is an equilateral triangle.

Thus, the 3 sides equal 8.7 cm.

Now from the image, b is half of one of the sides.

Thus, b = 8.7/2 = 4.35 cm

Now, we want to find the apothem "a".

Using Pythagoras theorem, we have;

a² + 4.35² = 5²

a² = 25 - 18.9225

a² = 6.0775

a = √6.0775

a ≈ 2.5 cm.

Thus, option A is true as pythagoras theorem was able to calculate the apothem "a"

B) since the main triangle is equilateral, it means each angle is 60°.

Now,the radius line from one corner point to the centre will divide the 60° angle into 2 equal parts.

Thus, the angle made by the radius line with the base of the triangle is 60/2 = 30°

Now,from tangent ratios, we know that;

Opposite/Adjacent = tan θ

In the small triangle, opposite is apothem "a" while adjacent is b = 4.35 cm

Thus;

a/4.35 = tan 30

a = 4.35 tan 30

a ≈ 2.5 cm.

Thus, option B is correct as Tangent ratio can be used to find the apothem

C) The perimeter of equilateral triangle = 3x

Where x is length of one side.

One side is 8.7 cm

Thus, perimeter = 3 × 8.7 = 26.1 cm

Thus option C is not correct.

D) From calculations above, we saw that in both options A & B, the apothem is approximately 2.5 cm.

Thus, option D is true.

E) Area of triangle is;

A = ½ × base × height

Base = 8.7 cm

To get height, we will use trigonometric ratio. Thus;

h/8.7 = sin 60°

h = 8.7 sin 60°

Thus;

A = ½ × 8.7 × 8.7 sin 60°

A = 32.77 cm²

Thus is not equal to 65 cm². Thus, option E is not correct.

Answer:

A, B, D

Step-by-step explanation:

what is the point slope intercept form of Y=2/3X -2 and the standard form? pls help asap​

Answers

Answer: slope intercept is y=mx+b

standard form is Ax+By=C.

point slope form is y-y₁=m(x-x₁)

so y=2/3x+2 is slope intercept

Answer:

+Slope-intercept is... y=mx+b

+The standard form is... Ax+By=C.

+A point-slope form is... y-y₁=m(x-x₁)

+So... y= x+2 is... slope-intercept

 ❤ I hope this helps you, ma'am/sir/whatever your pronouns are! ❤

write an equation of line parallel to the line y=2/5x+10 and passes through the point 10/11

Answers

Answer: y=2/5x+b

Step-by-step explanation:

What is the value of x in the proportion?
9/12=12/x

Answers

Answer:0.75

Step-by-step explanation:

Answer- X=16

Explanation:

Determine the defined range
9/12=12/x, x≠0

Reduce the fraction with 3
3/4=12/x

Simplify the equation using cross-multiplication
3x=48

Divide both sides of the equation by 3
x=16, x≠0

Check if the solution is in the defined range
x=16

A hairstylist schedules 1/4 our trim a customer's hair and 1/6 hour to style the customers hair hairstyles plans to work 3 1/3 hours each day for five days a week how many appointments can hairstylist schedule each week if the customer must be trimmed and styled A hairstylist schedules 1/4 hour trim a customers hair and 16 away to style the customers here he said his plans to work 3 1/3 hours each day for five days a week how many appointments can hairstylist schedule each week if the customer must be trained in styl

Answers

Answer:

40 appointments

Step-by-step explanation:

From the question, we have the following information

Amount of time to trim a customer's hair = 1/4 hour

Amount of time to style a customer's hair = 1/6 hour.

Total time spent on a customer

= (1/4 + 1/6)hour

L.C.M = 12

= (3 + 2/12) = 5/12 hour spent on a customer for trimming and styling

She plans to work for 3 1/3 hours per day for 5 days a week.

The total number of hours in a week that she works is calculated as:

3 1/3 × 5

= 10/3 × 5 = 50/3 hours = 23 1/3 hours

1 customer = 1 appointment = 5/12 hour

Therefore, the number of appointments she can schedule for 5 days a week if the customer must trim and style is calculated as:

5/6 hour = 1 appointment

50/3 hours = x appointments

Cross Multiply

5/6 hour × x = 50/3 hour × 1 appointment

x = 50/3 ÷ 5/12

x = 50/3 × 12/5

= 40 appointments.

The number of appointments she can schedule for 5 days a week if the customer must trim and style is 40 appointments.

Which statement represents the parallel postulate in Euclidean geometry, but not elliptical or spherical geometry?

1 .Through a given point not on a line, there exists no lines parallel to the given line through the given point.

2.Through a given point not on a line, there exists exactly one line parallel to the given line through the given point.

3.Through a given point not on a line, there exists more than one line parallel to the given line through the given point.

4.Through a given point not on a line, there exists exactly three lines parallel to the given line through the given point.

Answers

Answer:

2.Through a given point not on a line, there exists exactly one line parallel to the given line through the given point.

Step-by-step explanation:

The object of "Euclidean geometry" (more commonly called "plane geometry") is, in principle, the study of the shapes and properties of natural bodies. However, geometry is not an experimental science since its object is not to study certain aspects of nature but a necessarily arbitrary reproduction of it.

After the definitions, Euclid then poses his famous postulates (his requests), the fifth of which has remained Euclid's postulate, often called axiom (or postulate) of parallels and which was the subject of much research and controversy as to its necessity:

Given two points A and B, there exists a line passing through A and B. Any segment [AB] can be extended into a straight line passing through A and B. For any point A and any point B distinct from A, we can describe a circle with centre A passing through B. The whole right angles are always equal to each other. By a point outside a line, we can draw a parallel and only one to this line.

From the above explanation, we could deduce that the correct option is Option 2.

Answer:

The answer is B, Through a given point not on a line, there exists exactly one line parallel to the given line through the given point.

Step-by-step explanation:

What does this mean f(5)=-10

Answers

You have to find f. F= -2

put this numbers from greatest to least

0.2734, 23.74, 0.0347, 0.43,0.0043​

Answers

Answer:

Step-by-step explanation:

23.74, .43, .2734, .0347, .0043

0.0043
0.0347
0.2734
0.43
23.74

Help mehh please
Alaina has $28 in her account. She wants to purchase a pair of shoes that costs $45. If Alaina makes the purchase, which integer will represent the amount of money in Alaina’s account?
–73
–27
–23
–17

Answers

Answer:

The real answer is -17, do the math.

Step-by-step explanation:

28 - 45= -17

28 + 17 = 45

45 - 28 = 17

Four students are to solve 5(x-3)=2x+6 which solution and explanation is right?

Answers

Answer:

pft

Step-by-step explanation:

not sure, im confused


A 20 gallon tank is 3/4 full. How many gallons are in the tank?

Answers

Answer:

15 gallons

Step-by-step explanation:

(3 / 4) * (20 US gallons)

= 15 gallons

Answer:

15 gallons are in the tank

Step-by-step explanation:

3/4(20)

Denise runs a 10 kilometer race (6.2 miles). Her average time per mile is shown.

Answers

Answer:

Step-by-step explanation:

8.5*6.2=52.7

The required time taken by Denise to complete the race is 52.7 minutes.

Given that,
Denise runs a 10-kilometer race (6.2 miles). Her average time per mile is 8.5 minutes per mile.

What is speed?

Speed is defined as when an object is subjected to move, the distance covered by the object in a certain time interval is the speed of that object.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Denise runs a 10-kilometer race (6.2 miles).
Denise run 1 mile in 8.5 minutes
Time is taken by denis to run 6.2 miles =  6.2 * 8.5
                                                                  = 52.7 minutes

Thus, the required time taken by Denise to complete the race is 52.7 minutes.

Learn more about simplification here:
https://brainly.com/question/12501526

#SPJ2

I need help!!! :( pleaseeee

Answers

Answer:

2/8 more days

Step-by-step explanation:

5/8-3/8=2/8

I believe the answer would be 2/8 days:)

HURRY PLEASE!! I’ll mark you as brainliest
Which graph shape would represent the connected
points in Celeste's function table?

A. A straight line that slopes up from left to right

B. A straight line that slips down from left to right

C. A symmetrical V shape that opens down

D. A symmetrical face shape that opens up

Answers

Answer:

I believe the answer would be A

Step-by-step explanation:

There is no possible slope being involved so B, C, or D couldn't be the answer.

Answer:

A. A straight line that slopes from left to right.

Step-by-step explanation:

y = mx + b

is this a function or not

Answers

Answer:

No

Step-by-step explanation:

x=5 produces y=3 and y=5 so the relation is not a function.

Yes that is function by looking that this

y

Divide. Write your answer in simplest form. 1/9 divided 5/4?

Answers

Answer: (1)/(9)-:(5)/(4)

Step-by-step explanation:

*^*^c(1)/(9)-:(5)/(4)*^*^

*^*^(1)/(9)-:(5)/(4)*^*^

*^*^The result can be shown in multiple forms. *^*^

*^*^Exact Form:4  45 *^*^

*^*^Decimal Form:

*^*^0.0 8

Need Help with 44.. picture above

Answers

Answer:

Ok:

Step-by-step explanation:

I see that you set up 90 miles = 60 mph * t, where you found out that t = 1.5. What what you needed to do was set 180 miles = 45 mph * t. This is because it is 45 mph for the whole trip. Then, you find that t = 4 hours. That that means that he spent 2.5 hours driving back. Then, we can do d=vt and find 90/2.5 as the speed he went home at. Which comes out to be 36 mph.

Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
Aakash has a fever. His body temperature during the day was 99.2°F. By evening, his body temperature has increased by 3.4°F.
His body temperature in the evening is __?__°F.

Answers

Answer:

102.6

Step-by-step explanation:

add 99.2 + 3.4

if you go to school 5 days a week are the weekends your technical days off?

Answers

Answer:

Yes! The weekend is time where you get a break from school/homework and relax! :)

A system of equations and its solution are given below system

System A
Solution: (-2,1)

To get system B below, the second equation in a system A was replaced by sum of that equation and the first equation in system A mutiplied by -2.

System B
5x - y = -11

A) The second equation in system B is 7x = 30. The solution to system B will be the same as the solution to system A.

B) The second equation in system B is 7x = 30. the solution to system B will not be the same as the solution to system A.

C) The second equation in system B is -7x = 14. The solution to system B will be the same as the solution to system A.

D) The second equation in the system B is -7x = 14. The solution to system B will not be the same as the solution to system A.

Answers

It is b and I hope you have a wonderful day

Given point Q (2,5), which of the following points is NOT 5 units away from point Q?

A(-2,2)
B(5, 1)
C (3,2)
D(-1, 1)

Answers

Answer;

C ; (3,2)

Explanations;

Mathematically, the equation of the distance between two points can be given as;

D^2 = (y2-y1)^2 + (x2-x1)^2

The distance we are dealing with is 25

Mathematically, the square of 3 and the square of 4 added together gives 25

So the coordinates that will be our answer will be such coordinates that will not give 3 and 4 for either of x or y axes

Looking at it;

Let’s work with the first option;

D^2 = (5-2)^2 + (2-(-2))^2

D^2 =3^2 + 4^2

We can see that this works

Second option;

D^2 = (5-1)^2 + (2-5)^2

D^2 = 4^2 + (-3)^2

Since (-3)^2 is same as 3^2, this option works too

Third option

D^2 = (5-2)^2 + (2-3)^2

D^2 = (3)^2 + (-1)^2

We can see that the sum here won’t give 25 , so this is our answer

Which diagram suggests a correct construction of a line that is parallel to given line I and passes through given point Q?

Answers

Answer:

I've done this before, I think it was C.

Step-by-step explanation:

Answer: The answer is C

Step-by-step explanation:

What is the 325th Triangular number?

Answers

Answer:52813

Step-by-step explanation:

To get the 325th triangular number all you have to do is n x (n+1) /2

N=325

325 x 325+1

325x325=105625

105625+1=105626

105626/2=52813

There you go=52813 is the 325th triangular number

Select the correct answer.
What is the value of
log,
OA.
1
B.
2
O c.
3
OD. 27
Plz I need help I'm doing my test right now!!!!

Answers

The correct answer is b) 2

THANK YALL FOR YALLS HELP CAN yall answer this 5x3x4x5= and how do you give someone a brainiest

Answers

I think the answer is

300

Answer: 5X^12

Step-by-step explanation: 5*x3*x4*x5

=5*x12

=5x12

if y=1/3 when x=1/2 find y when x=1/4

Answers

y would be 1/6, i need to put more words so thats why i wrote what is after the comma

Answer:

y=1/3

3y=1...........(1)

x=1/2

2x=1..........(2)

:.

2x=3y

when x=1/4

2×1/4=3y

3y=1/2

y=1/(2×3)=1/6 is your answer

pls help me find the value

Answers

Answer:

The answer is 0.

Explanation:

2/3 x 0 = 0

0 x -3 = 0

I hope it helps you...

Answer:

1

Step-by-step explanation:

[(3/2)⁰]⁻³

apply the exponent rule: (aᵇ)ˣ = aᵇˣ, a≥0

= (3/2)⁰ ⁽⁻³⁾

note that 0 * (-3) = 0 so,

=(3/2)⁰

apply exponent rule: a⁰ = 1, a≠0

= 1

Plsssss helppppp y-27 greater than or equal to -13

Answers

Answer:

y-27 >= -13

Step-by-step explanation

you are finding y, so you will leave the y and convert the 27 into a positive 27.

y >= -13 + 27

Once that is done, simplify.

-13+27 = 14

so your answer will be:

y>14

imagine having friends :(

Answers

Answer:

I couldn't

The ones I used to be friends with now all hate me lol ;-;

Step-by-step explanation:

what is a independent and dependent variable​

Answers

Answer:

The independent variable doesn't rely on anything to change; it is independent

The dependent variable relies on the independent variable; what happens to it depends on the independent variable  

Think of independent and dependent variables like cause and effect: the independent variable is the cause, while the dependent variable is the effect. For example; in an experiment, you manipulate the independent variable and measure the outcome in the dependent variable.

I hope that wasn't to confusing!

I hope this helps! (✿◕‿◕✿)

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