Liz is a salesperson at a department store. She gets paid an hourly wage plus a 5 percent commission on all her sales. Her pay is given by the formula below.

P = $6h + $0.05k

In this formula, h is the number of hours worked, and k is the dollar amount of sales. Liz worked 36 hours last week and sold $2,700 of merchandise. What was her total pay for the week?

Answers

Answer 1

Answer:

$351.00

Step-by-step explanation:

Our first step in this process is to find what the hours - represented by h - times $6.00 would result in. Since 36 ⋅ 6 results in $216.00, we know that $216.00 + $0.05k = last week's pay for Liz.

Our second step is to find what $0.05 is being multiplied by. We see in the given information that k represents the dollar amount of sales. Therefore, in the second step of this process, we'll be multiplying 0.05 by 2700, which results in $135.00.

We then add $216.00 - the remaining value to be added - to the second value of $135.00, making the answer to this math problem $351.00.

Hopefully this helped a bunch! And tell me if you need any further assistance. ( :


Related Questions

the price of a pair of shoes increases from $58 to $61 What is the percent increase to the nearest percent?
please help I will mark brainliest​

Answers

Answer:

23.08

Step-by-step explanation:

How can I find a rule in a math question

Answers

Answer:

Step-by-step explanation:

How to write the rule of a function given the table of values. To write the rule of a function from the table is somehow tricky but can be made easier by having prior knowledge of the type of function. If the function is a linear function, plugging any two sets of values from the table into the equation y = ax + b, where a and b are constants to be found and x, y are values taken from the table. Solving the two equations obtained simultaneously gives the values of a and b and hence the required rule.

Similarly, if the function is a quadratic equation, plugging any three sets of values from the table into the equation y = ax^2 + bx + c, where a, b, c are constants to be found and x, y are values taken from the table. Solving the three equations obtained simultaneously gives the values of a, b and c and hence the required rule. For tables with no prior knowledge of the type of function, a series of trial and error will lead us to the solution of the problem.

4) A line has a slope of -5 and passes through the point (2, 2). An equation for this line is

Answers

Answer:

[tex]D: y= -5x+12[/tex]

Step-by-step explanation:

Since the slope is -5 is either C or D. Let's replace [tex]x= 2[/tex] in either to see what we get.

C: [tex]-5(2)-2 = -12[/tex] Nope.

D: [tex]-5(2) +12 = 2[/tex] Good!

A car is sold for £7,800 If this represents a depreciation in value to 60% of its original

price, then calculate the original price of the car.

Answers

Answer:

6,543

Step-by-step explanation:

This is my guess ONLY.

This net folds into the cube shown beside it. Which letters will be on the front and top?

Answers

Answer:

f

and

c

the top is f and front is c

Step-by-step explanation:

f and c

E and C

Step-by-step explanation:

E on the front

C on the top

I hope it helps

Solve for x using
multiplication.
Cross
-
3x - 3
5
=
2x - 2
4.
x = [?]

Answers

Answer:

x = 1

Step-by-step explanation:

[tex]\frac{3x-3}{5}[/tex] = [tex]\frac{2x-2}{4}[/tex] ( cross- multiply )

4(3x - 3) = 5(2x - 2) ← distribute parenthesis on both sides

12x - 12 = 10x - 10 ( subtract 10x from both sides )

2x - 12 = - 10 ( add 12 to both sides )

2x = 2 ( divide both sides by 2 )

x = 1

Given that rectangle ABCD has coordinates A(0,0), B(12,0), C(12,6), and D(0,6), F is the midpoint of AB¯¯¯¯¯, and G is the midpoint of CD¯¯¯¯¯, which of the following proves that FB=GC?

1. By the Distance Formula, the coordinates of F are (6, 0) and the coordinates of G are (6, 6).
Then FB = 12, and GC = 12.
Thus FB = GC.

2. By the Distance Formula, the coordinates of F are (6, 12) and the coordinates of G are (6, 0).
Then FG = 6, and GC = 6.
Thus FG = GC.

3. By the Midpoint Formula, the coordinates of F are (6, 0) and the coordinates of G are (6, 6).
Then FB = 6, and GC = 6.
Thus FB = GC.

4. By the Midpoint Formula, the coordinates of F are (6, 6) and the coordinates of G are (6, 0).
Then FB = 6, and GC = 6.
Thus FB = GC.

Answers

The midpoint of the sides [tex]\overline{AB}[/tex] and [tex]\overline{CD}[/tex]  are the points that half way between  [tex]\overline{AB}[/tex] and [tex]\overline{CD}[/tex] respectively.

The option that proves [tex]\overline{FB}[/tex] = [tex]\overline{GC}[/tex] is option 3

3. By the Midpoint Formula, the coordinates of F are (6, 0) and the coordinates of G are (6, 6). Then [tex]\overline{FB}[/tex] = 6, and [tex]\overline{GC}[/tex] = 6. Thus [tex]\overline{FB}[/tex] = [tex]\overline{GC}[/tex]

Reasons:

The given coordinates of the vertices of rectangle ABCD are;

A(0, 0), B(12, 0), C(12, 6), and D(0, 6)

The midpoint of side [tex]\overline{AB}[/tex] = Point F

The midpoint of side [tex]\overline{CD}[/tex] = Point F

The coordinates of point F is given by the midpoint formula, as follows;

[tex]\displaystyle \mathrm{The \ midpoint \ of \ a \ line \ with \ endpoints \ (x_1, \ y_1) \ and \ (x_2, \ y_2) = \mathbf{ \left(\frac{x_1 + x_2}{2}, \ \frac{y_1 + y_2}{2} \right) }}[/tex]

Which gives;

[tex]\displaystyle \mathrm{The \ coordinate \ of \ F \ the \ midpoint \ of \ \overline{AB} = \mathbf{ \left(\frac{0 + 12}{2}, \ \frac{0 + 0}{2} \right)} =(6,\ 0)}[/tex]

The coordinates of point F = [tex]\underline{(6, \ 0)}[/tex]

[tex]\displaystyle \mathrm{The \ coordinate \ of \ G \ the \ midpoint \ of \ \overline{CD} = \left(\frac{12 + 0}{2}, \ \frac{6 + 6}{2} \right) =(6,\ 6)}[/tex]

The coordinates of point G = [tex]\underline{(6, \ 6)}[/tex]

[tex]\overline{FB}[/tex] is parallel to the x-axis, therefore;

The length of [tex]\overline{FB}[/tex] = 12 - 6 = 6

Similarly, [tex]\overline{GC}[/tex] is parallel to the x-axis, therefore;

The length of [tex]\overline{GC}[/tex] = 12 - 6 = 6

Which gives;

[tex]\overline{FB}[/tex] = [tex]\overline{GC}[/tex] = 6

The correct option is that proves [tex]\overline{FB}[/tex] = [tex]\overline{GC}[/tex] is option 3.

By the Midpoint Formula, the coordinates of F are (6, 0) and the coordinates of G are (6, 6). Then [tex]\overline{FB}[/tex] = 6, and [tex]\overline{GC}[/tex] = 6. Thus [tex]\overline{FB}[/tex] = [tex]\overline{GC}[/tex]

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What is y=2x? (its in the mathematics Georgia book)

Answers

The answer would be X=1/2y

BATTERY LIFE The battery life of a certain cell phone starts at 8 hours. The battery life decreases at an annual rate of 30%.

a. Write a function that represents the battery life y after x years.

Answers

Answer:

[tex]y=8(0.7)^x[/tex]

Step-by-step explanation:

Next, the battery life decreases by 30% per year. You didn't state if this is linear or exponential, so I'll assume exponential because linear doesn't make much sense in this case..

For an exponential function, the battery life will be decreasing by 30% over the previous year, not over the original. Decreasing by 30% is multiplying by 70%, or just 0.7.

Exponential form:

[tex]y=a(b)^x[/tex]

where a is the original value and b is the percent change.

In your question:

[tex]y=8(0.7)^x[/tex]

The function that represents the battery life y after x years is y = 8(0.7)ˣ.

What does exponential function ?

A quantity grows (or depreciates) exponentially if the increase (or decrease) in the amount is a multiple of the previous amount.

Now it is given that,

Battery life starts = 8 hours

Annual decrease rate = 30% = 0.30

So, battery life after an year = 100% - 30% = 70% = 0.7

Now if battery life y after x years

Annual decrease rate after x years = (0.7)ˣ

Thus battery life, y = 8(0.7)ˣ

Thus, the function that represents the battery life y after x years is y = 8(0.7)ˣ.

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Identifying values in the domain PLS HELP

Answers

(F)(x) is your answer there you go

Enlarge triangle ABC by scale factor -2, centre (4,2)

Answers

Answer:

  see attached

Step-by-step explanation:

The scale factor of -2 means each point on the preimage will be reflected across the center of dilation a distance twice its distance to that center.

For example, point B is 2 units right and 1 unit down from the center of dilation. Its image will be 4 units left and 2 units up from the center of dilation, so will have coordinates B'(0,4).

C is 1 unit right of B, so C' will be 2 units left of B', at C'(-2, 4).

A is 4 right and 1 up from the center, so A' will be 8 left and 2 down from the center, at A'(-4, 0).

Choose the correct definition of
(2)
from below.
A.
kI
n!(n – kỳ!
B.
n!
(n-k)!
C.
!
k!(n-k)!
D.
n!
K!(K-n)!

Answers

Answer:

Answer is C noumber

Step-by-step explanation:

We know that a combination is a collection of the items where the order doesn't matter. It is a way to calculate the total outcomes of an event where order of the outcomes does not matter. It is denoted by C(n,k) or (n,k) or (n/k).

The formula for the number of combinations of n things taken r at a time is given by :-

C(n,k)=(n/k)=\frac{n!}{k!(n-k)!}C(n,k)=(n/k)=

k!(n−k)!

n!

Hence, C is the right option.

please answer it i need help

Answers

This is karma for doing this to some one else :)

regdcd gvfd vcds xgrcd xre dse dxf crdx vcfx gvf c fcvr fvcrdgbv

Benny has a baseball card collection he has 13,789 cards he wants to put the card in a scrapbook that holds 15 cars on a page how many pages does Denny need in his scrapBook.​

Answers

Answer:

920 pages

Step-by-step explanation:

Divide 13,789 by 15, you should get 919.27 so just round up so you can hold all the cards.  

can you answer for angle T

Answers

Cos = adjacent/hypotenuse

Therefore

The adjacent of angle T is 24, Adjacent means the one next to

The hypotenuse in this problem is always 25, the long side

So it will be 24/25

Hope this helps!!

Here is the problem: (Picture)

Answers

Answer:

c

Step-by-step explanation:

HELP ASAPPPPPPPPPPPPP

Answers

The answer is A, but it’s hard to explain why. The answer lies in the orientation of the letters and the kinds of lines.

Answer:

Answer: A

Step-by-step explanation:

(go to attachment to see explanation)

hope this helped :D

Find the slope of the line through each pair of points.
(-10,8), (5,-5)

Answers

Answer:

-0.86667

Step-by-step explanation:

m = -13 / 15 = -0.86667

what is the slope of the line graphed on the coordinate plane

Answers

Answer:

The slope = 3/4

Step-by-step explanation:

[tex]m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

[tex]m=\frac{6-3}{2-(-2)}=\frac{6-3}{2+2}[/tex]

m = 3/4

simplify - 8t + 3r - 7t - 9r

Answers

Answer:

15t+12r

Step-by-step explanation:

you have to do like term like -8t and-7t that is like term so the next like term is 3r and -9r

ashtons containor of water holds 80 milliliters. nelsons container holds 9/16 of that amont. how many milliniters of water do the two containors hokd together

Answers

Answer: Neither

Step-by-step explanation: Technically the containers hold no water at all as they hold only the bottles in which the water is actually contained. So the answer I suppose is 'Neither'.

Which of the following represent the same level of precision? Check all that
apply.
A. 90 liters
B. 5.9 liters
C. 13.6 liters
D. 94 liters

Answers

Answer:

I got C&B

Reasoning: just did this test, however the answer might be different for anyone else.

5.9liters and 13.6 liters, and  90 liters and 94 liters represents the same level of precision.

What is precision?

Precision is a number that shows an amount of the information digits and it expresses the value of the number.

Same level of precision refers to degree of significant figures or how many numbers after the decimals.

According to the given question, we have to find the numbers which represent same level of precision.

From the given options,

5.9 liters and 13.6 liters have the same level of precision because there is only one number after the decimal.

And, 90 and 94 have the same level of  precision (no decimal).

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Find the area of the polygon below. ( and please show work)

Answers

Answer:

89.6875

Step-by-step explanation:

you need to find out area of rectangle (length x width) and add area of the triangle (length x width divided by 2)

Find the perimeter.simplify your answer.

Answers

Answer:

proly

Step-by-step explanation:

2 * (2z-9) + 2 * (10z)

4z-18 + 20z

24z - 18

Answer:

22z

Step-by-step explanation:

10+10+2z-9+2z-9= 22z

SIMPLIFY THESE!! I WILL MARK U BRAINLIEST!!

Answers

Answer:

see explanation

Step-by-step explanation:

Using the rules of exponents

[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex]

[tex]a^{m}[/tex] ÷ [tex]a^{n}[/tex] = [tex]a^{(m-n)}[/tex]

(a)

[tex]4^{9}[/tex] × 4³ = [tex]4^{(9+3)}[/tex] = [tex]4^{12}[/tex]

(b)

[tex]6^{5}[/tex] × 6² = [tex]6^{(5+2)}[/tex] = [tex]6^{7}[/tex]

(c)

[tex]8^{6}[/tex] ÷ 8 = [tex]8^{(6-1)}[/tex] = [tex]8^{5}[/tex]

(d)

[tex]7^{8}[/tex] ÷ [tex]7^{6}[/tex] = [tex]7^{(8-6)}[/tex] = 7²

Write
1

26
in index form.

Answers

Answer:

Simplify 1√26inindexform

Simplify √26.

Checking square roots, we see that 52 = 25 and 62 = 36.

Our answer is not an integer, so we try simplify it into the product of an integer and a radical.

a) ( -14) + 5 + 17 + 14

Answers

Answer:

= 22 is the answer, if I got it wrong I tried to help

Answer:

22

Step-by-step explanation:

Please give BRANIEST and heart!

Solve the system of linear equations below.

6x + 3y = 33
4x + y = 15


A x = 2, y = 7

B. X = -13, y = 7

C x = -2/3, y = 12*2/3

D. x = 5, y = 1

Answers

Answer:

A

Step-by-step explanation:

6x+3y=33 <=> 2x+y=11<=>4x+2y=22 (1)

4x+y=15 (2)

(1)-(2) <=> y=7

Answer:

A x = 2, y = 7

Step-by-step explanation:

6(2)+3(7)= 33

4(2)+(7)=15

Liza bought 5.035 kg of chicken. Write its weight in words.

Answers

Answer:

five point zero three five

When solving an equation, Tina gets to the last of line of her work and is left with "7=7." What does this mean?
A
The solution is 7
B
There is infinite solutions.
С
There is only one solution
D
There is no solution.

Answers

Answer:

B , there are infinite solutions.

Step-by-step explanation:

If you end an equation with a true statement, such as 0 = 0, then any value of the variable(s) you are solving for will satisfy the equation. This means that there are infinite solutions.

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