Paulette is paid 2 1/2 % commission on all sales, and an extra 1 1/2 % on all sales over $6,500. Her sales last week totaled $17,400. What were her total earnings for the week?

Answers

Answer 1

The total earnings in the form of commission for Paulette is $ 598.5.

Commission till sales of $ 6,500 = 2 1/2 %

So amount of commission will be

A = 5 / 200 × 17400

A = 5 / 2 × 174

A = $ 435

Extra commission:

E = 3 / 200 × ( 17400-6500)

E = 3 / 200 × 10900

E = 3 / 2 × 109

E = $ 163.5

Total commission = $ 435 + $ 163.5

T = $ 598.5

Therefore, the total earnings in the form of commission for Paulette is $ 598.5.

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Related Questions

Use the distance formula to determine how far apart the given points are. Given: D(-12, 10) E(-1,5) Find: DE​

Answers

Answer:

it d

Step-by-step explanation:

Write the ratio of pencils to
erasers in simplest form.There are 10 pencils and 2 erasers

Answers

5:1

I think this is the answer
I hope this helps:(

Given this equation for converting temperature from Fahrenheit (f) to Celsius (c) is C = [5(f – 32)]/9, what is the Celsius temp when Fahrenheit is 104 degrees?

Answers

Answer:

40 degrees

Step-by-step explanation:

Substitute f = 104:

[tex]C = \frac{5(f - 32)}9 \\\\\to C = \frac{5(104 - 32)}9 \\\\\to C = \frac{5 \times 72}9 \\\\\to C = 5 \times 8 = 40 \text{ degrees}[/tex]

Damon has 37 inches of space on his car bumper that he wants to use for bumper stickers. How many short bumper stickers can Damon fit side by side on his car bumper?​

Answers

Answer: Does it specify how long his short bumper stickers are?

Step-by-step explanation:

What is the average rate of change of h over the interval −6 ≤ x ≤3

Answers

Answer:

-1/9

Step-by-step explanation:

Perform the following​ metric-metric conversion.

1.68 ​g/L​_____ ​g/mL

Answers

Answer: 1680ml

Step-by-step explanation:

1000 mL are in 1 L, so with that logic

1=1000

.68=680

1000+680=1680

What is the slope of the line?
-7-6-5-4-3-2-
6
5
4
324
0 123 4 56
234567
+6
x

Answers

Answer:

6

Step-by-step explanation:

ya it of course sachi ta

Which of the following is an example of the Commutative Property? 2x + 3x = 5x 5xy = 5(xy) 5z - 3x = -3x + 5z 3(a + b) = 3a + 3b

Answers

From the given examples 5z - 3x = -3x + 5z  and 5(xy) = 5(xy) are following the commutative property.

According to the given question.

We have some equations

2x + 3x = 5x

5xy = 5(xy)

5z - 3x = -3x + 5z

3(a + b) = 3a + 3b

Here, we have to find which equation is following the commutative property.

As we know that, the commutative property is a math rule that says that the order in which we multiply numbers does not change the product.

For, example 4 + 5 gives 9, and 5 + 4 also gives 9.

From the given example the equation

5z - 3x = -3x + 5z is following the commutaive property of addition.

And, 5(xy) = 5(xy) is following the commutative property of multiplication.

Hence, from the given examples 5z - 3x = -3x + 5z  and 5(xy) = 5(xy) are following the commutative property.

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Compare the steepness of the following functions. How does F3 compare to F1

Answers

Answer:

Function 3 is less steep.

Step-by-step explanation:

The steepness of a linear function is determined by its coefficient of x.

Since the coefficient of x in [tex]f_3(x)[/tex], 0.5, is smaller than that of [tex]f_1(x)[/tex], 2, function 3 is less steep than function 1.

Significance of the coefficient of x

We can think of the function as an equation of a line in the slope-intercept form. That is, y= mx +c, where m is the slope and c is the y-intercept.

Steepness and value of x

The larger the numerical value of m, the steeper the line is.

Significance of the sign of x

The sign (positive or negative) of m tells us the direction in which the line is sloping towards. A positive m value gives us a line sloping upwards from left to right, while a negative m value gives us a line that is sloping downwards from left to right.

Additional:

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What is (-1, 2) reflected across the y-axis?

Answers

If the coordinate is reflected over the y-axis, the resulting coordinates will be (1, 2).

Reflection of coordinates

Images that are reflected are mirror images of each other. For instance, given the coordinate points (x, y), if it is reflected across the y-axis, then the result of the expression is (-x, y).

Given the coordinate point (-1, 2), if the coordinate is reflected over the y-axis, the resulting coordinates will be (1, 2).

Note that the x-coordinate point is negated if the coordinate is reflected over the y-axis.

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These questions are about calculus, I would greatly appreciate your help on both questions! ASAP PLEASE!

Answers

The slope of the line -1/6.

The value of m = -1.

what is slope?

The slope of a line is a measure of its steepness. slope is calculated as "rise over run" (change in y divided by change in x).

given:

f(x) = √10-x

let f(x)=y

y = √10-x

Now,

dy/dx = -1/2(√10-x)

at x=1

dy/dx =  -1/2(√10-1)

dy/dx = -1/2(3)

dy/dx = -1/6

equation of line is

y= mx + b

y= (-1/6)x + b

6y = -x + b

So, m= -1

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assuming I = E(R + r), prove that I/I = R/E + r/E​

Answers

If we assume that I = E(R + r), then I/I = R/E + r/E​.

The inverse of a value of a number is known as the reciprocal of the number. The reciprocal can be found out by replacing the numerator with the denominator and vice versa. For example, reciprocal of a number x will be 1/x and vice versa.

Here, we are given that I = E/(R + r)

Taking reciprocals of both sides we get-

Reciprocal of I will be- 1/I

Reciprocal of E/(R + r) will be- (R + r)/ E

Thus,

1/I = (R + r)/ E

Simplifying the equation further, we get-

1/I = R/E + r/E

Hence, proved

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Reduce the fraction to its simplest form 35/54

Answers

Answer:

it cannot be simplified anymore

Answer:

0.648148

Step-by-step explanation:

it is already in its simplest form but in decimal it is 0.648148(rounded up to six decimal places.

Convert the fraction below into a decimal
13/30

Answers

Answer:

0.43repeating

Step-by-step explanation:

You simply divide 30 by 13, and you get 0.43333333333333333

3 is repeating

Solve for the unknown value using the equation for the constant of proportionality,

Answers

1) When k = 1.5 and x = 50, the value of y is; y = 75

2) When k = 14 and y = 334, the value of x is; x = 23.84

3) When k = 12 and x = 245, the value of y is; y = 2940

4) When k = 16 and y = 38, the value of x is; x = 2.375


How to solve constant of proportionality?

We are given the equation for the constant of proportionality, as y/x = k

1) When k = 1.5 and x = 50, we want to find the value of y = ?

y/50 = 1.5

y = 50 * 1.5

y = 75

2) k = 14 and y = 334, x = ?. We want to find the value of x. Thus;

334/x = 14

x = 334/14

x = 23.84

3) k = 12 and x = 245, y = ?

y/245 = 12

y = 245 * 12

y = 2940

4) k = 16 and y = 38; x = ?

38/x = 16

x = 38/16

x = 2.375

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Complete question is;

Solve for the unknown value using the equation for the constant of proportionality, y/x = k .Known Values​ Unknown Value​

k = 1.5 and x = 50

y = ?

k = 14 and y = 334, x = ?

k=12 and x=245, y = ?

k = 16 and y = 38; x = ?

6. Answer the following questions given the following infinite geometric series:

8 + 12 + 18 + 27 + ...

Answers

For the given geometric sequence, we have that:

The first term is: [tex]a_1 = 8[/tex]The common ratio is: [tex]r = \frac{3}{2}[/tex]Since it is an infinite sequence with r > 1, the sequence diverges.

What is a geometric sequence?

A geometric sequence is a sequence in which the result of the division of consecutive terms is always the same, called common ratio q.

The nth term of a geometric sequence is given by:

[tex]a_n = a_1q^{n-1}[/tex]

In which [tex]a_1[/tex] is the first term.

For the series given by:

8, 12, 18, 27, ...

We have that:

The first term is: [tex]a_1 = 8[/tex]The common ratio is: [tex]r = \frac{12}{8} = \frac{3}{2}[/tex] (simplifying by 4).

When a geometric series is infinite and has a common ratio greater than 1, it diverges.

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AB = x, BC = x + 4, AC = 40


A •--------------------•B--------------------• C


Help please​

Answers

Step-by-step explanation:

A=Xb c

2+4=6

5+5=10

9+20=75

Answer:

ab=20 bc=16+4=20 ac=40

Simplify 2(-x + 3y - z) - 6y giving out good points.. solve asap

Answers

-2x -2z . The y’all cancel.

The picture is uploaded above. I will give brainliest

The question is question 2

Answers

4,12
represents that jorge takes 4 steps to walk 12 feet
or represents number of steps that it takes to walk 12 feet either is right

Let’s choose (2, 6). This represents a scenario where it takes Jorge 2 steps to walk 6 feet.

Which statement correctly describes the expression (-18)(-3)?

Answers

Answer:

Both factors are negative,so that the product will be positive

Step-by-step explanation:

Hope it helps you

Someone help meee!


Solve 4(x-3)-2(x-1)>0

Answers

Answer:

{x|x>5}

Explanation:

4(x-3)-2(x-1)>0

4x-12-2x+2>0

2x-10>0

2x>10

x>5

What is the value for x in the ordered pair 10,5

Answers

Answer:

10

Step-by-step explanation:

Ordered pairs are listed in this format: (x,y).

In the pair (10,5):

10 = x

and 5 = y

Answer:

In an ordered pair you will find (#,#) number one equals x and number two is y. So the answer is 10.

Step-by-step explanation:

(x,y)

Simply and show how you got the answer

Answers

Solution:Problem 1.

[tex] \frac{3}{ \sqrt{5} - 2 } [/tex]

Rationalize the denominator by multiplying the numerator and denominator by the denominator. (Important: if the denominator has a minus sign, change to plus and vice versa)

[tex]⟹\frac{3 \times \sqrt{5 + 2} }{ (\sqrt{5} - 2 ) \times ( \sqrt{5} + 2) } [/tex]

[tex] ⟹ \frac{3 \sqrt{5} + 6 }{ \sqrt{25} + 2 \sqrt{5} - 2 \sqrt{5} - 4 } ⟹\frac{3 \sqrt{5} + 6 }{5 - 4} [/tex]

[tex] ⟹\frac{3 \sqrt{5} + 6}{1} ⟹3 \sqrt{5} + 6[/tex]

Problem 2.

[tex] \frac{6 - \sqrt{12} }{ \sqrt{3} + \sqrt{10} } [/tex]

Rationalize the denominator.

[tex] ⟹\frac{(6 - \sqrt{12} ) \times ( \sqrt{3} - \sqrt{10} )}{ (\sqrt{3} + \sqrt{10} ) \times ( \sqrt{3} - \sqrt{10} } [/tex]

[tex]⟹\frac{6 \sqrt{3} - 6 \sqrt{10} - \sqrt{36} + \sqrt{120} }{ \sqrt{9} - \sqrt{30} + \sqrt{30} - \sqrt{100} } [/tex]

[tex]⟹ \frac{6 \sqrt{3} - 6 \sqrt{10} - \sqrt{36} + \sqrt{120} }{3 - 10} ⟹ \frac{6 \sqrt{3} - 6 \sqrt{10} - \sqrt{36} + \sqrt{120} }{ - 7} [/tex]

[tex] ⟹\frac{6 \sqrt{3} - 6 \sqrt{10} - 6 + \sqrt{12 \times 10} }{ - 7}⟹\frac{6 \sqrt{3} - 6 \sqrt{10} - 6 + 4 \sqrt{3 \times 10} }{ - 7} [/tex]

[tex] ⟹ - \frac{6 \sqrt{3} - 6 \sqrt{10} - 6 + 2 \sqrt{30} }{7} [/tex]

Therefore:

1. [tex]3 \sqrt{5} + 6[/tex]

2. [tex] - \frac{6 \sqrt{3} - 6 \sqrt{10} - 6 + 2 \sqrt{30} }{7} [/tex]

I hope these help

What is the image of the point
(
1
,

4
)
(1,−4) after a rotation of
18
0

180

counterclockwise about the origin?

Answers

The image of the point after a 180∘ counterclockwise rotation about the origin is (-1, 4)

How to determine the image of the point?

The given parameters are

Point = (1, -4)

Transformation: 180∘ counterclockwise about the origin

The rule of 180∘ counterclockwise about the origin is

(x, y) = (-x, -y)

When this rule is applied to the given point, we have the image to be

Image = (-x, -y)

This gives

Image = (-1, 4)

Hence, the image of the point after a 180∘ counterclockwise rotation about the origin is (-1, 4)

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Mr. McDowell bought a block of fudge that weighed 7/10 of a pound. He cut the fudge into 7 equal pieces. What was the weight of each piece of fudge?

Answers

Answer: 1/10 of a pound

Step-by-step explanation:

The total weight was 7/10 of a pound. Cutting the fudge into 7 pieces implies dividing the fudge by 7.

7 is the same as 7/1.

When dividing fractions, we can multiply by the reciprocal. Essentially, we just flip the second number.

[tex]\frac{7}{10}/7 =\frac{7}{10} / \frac{7}{1} =\frac{7}{10} *\frac{1}{7}[/tex]

We can multiply this out to 7/70 and then simplify to 1/10,

or we could first cross simplify by dividing the 7s out of the numerator and denominator before multiplying. Either way, your answer ends up being 1/10 of a pound.

Hope this helps!

Based on the records for the past several​ seasons, a sports fan believes the probability the red team wins is 0.35. The fan also believes the probability the blue team wins is 0.40. In a season with 160 ​games, how many fewer games should the fan expect the red team to​ win?

Answers

If a sports fan believes that, the probability of the red team winning is 0.35 and that of the blue team winning is 0.40, then the fan expects the red team to win 9 matches less than the blue team in a season of 180 games.

As per the question statement, based on the records for the past several​ seasons, a sports fan believes that, the probability of the red team winning is 0.35 and that of the blue team winning is 0.40.

We are required to calculate the number of games, the fan expects the red team to win, lesser than the blue team in a season of 180 games.

As per the probability record, maximum number of games, the fan believes that the blue team can win all over the season of 180 games = [tex](0.40*180)=(\frac{40}{100}*180)=(4*18)=72.\\[/tex]

Similarly, maximum number of games, the fan believes that the red team can win all over the season of 180 games = [tex](0.35*180)=(\frac{35}{100}*180)=(7*9)=63.\\[/tex]

Hence, the fan expects the red team to win [tex][(72-63)=9][/tex] matches less than the blue team in a season of 180 games.

Probability: It is a branch of mathematics that deals with the possibility of occurrence of a random event.

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The number 56 is an integer, but not a whole number.

Answers

Answer:

False.

Step-by-step explanation:

Whole numbers can be described as the integers greater than and including zero. 56 has no fractional or decimal part, and is positive, so it is a whole number and an integer!

A group of friends wants to go to the amusement park. They have no more than $605 to spend on parking and admission. Parking is $17.25, and tickets cost $37.25 per person, including tax. Which inequality can be used to determine pp, the maximum number of people who can go to the amusement park?

Answers

Considering the definition of an inequality, the inequality that can be used to determine p, the maximum number of people who can go to the amusement park, is:

17.25 + 37.25×p ≤ 605

Definition of inequality

An inequality is the existing inequality between two algebraic expressions, connected through the signs:

greater than >.less than <.less than or equal to ≤.greater than or equal to ≥.

Solving an inequality consists of finding all the values ​​of the unknown for which the inequality relation holds.

Inequality in this case

In this case, you know that:

A group of friends have no more than $605 to spend on parking and admission. Parking is $17.25, and tickets cost $37.25 per person, including tax.

Being "p" the number of people who can go to the amusement park, the inequality that expresses the previous relationship is

17.25 + 37.25×p ≤ 605

Finally, the inequality that can be used to determine p, the maximum number of people who can go to the amusement park, is:

17.25 + 37.25×p ≤ 605

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An observation deck extends 456 feet out above a valley. The deck sits 406 feet above the valley floor. If an object is dropped from the observation deck, its height h in feet, after t seconds, is given by h=-161 +406. How long will it take for the object to be 6 feet above the valley floor?​

Answers

We need to know the relation between height, time to solve this problem. The time taken by the object to be 6 feet above the valley floor is 25 seconds.

The distance an object falls is proportional to the time it took to fall because of gravitational force. Here we have been given an equation that shows us the relation between height of the object and the time taken to reach that height. We know that the initial height of the object is 406 feet, if we substitute the initial height in the equation we get time to be zero which shows us that this is the initial height. We need to find out the time taken by the object to be 6 feet above the valley floor.

h= -16t+406

6=-16t+406

-400=-16t

t=400/16=25 seconds

Therefore the time taken by the object to be at a height 6 feet above the valley floor is 25 seconds.

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Annie runs in the park every 3 days. Ron runs in the park every 5 days. They both ran on 1 January. How many more times will they run in the park on the same day up to the end of February?​

Answers

Answer:

Step-by-step explanation:

annie runs in park = every 3 days

ron runs in park = every 5 days

lets find LCM of 3 and 5 = 3*5 = 15

if they ran on 1st of January then they will meet again on on 15th January , will again meet on 30th of January and will again meet on 14 February . if is was a leap year they would again meet at 29th February .

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