19. A store manager purchases a piece of furniture for $456.00. To determine the selling price, the manager increases the purchase cost by 125%. A customer buys the furniture and pays an additional 8% sales tax. How much does the customer pay for the furniture?

Answers

Answer 1
Answer:

Answer: The customer pays $1108.08 for the furniture.

Step-by-step explanation:

1. Determine the selling price of the furniture.

2. Calculate the sales tax.

3. Add the sales tax to the selling price.

Step 1: Determine the Selling Price

The store manager increases the purchase cost by 125%. To find the selling price, we first calculate the increase:

\[\text{Increase} = \text{Purchase Cost} * \frac{\text{Percentage Increase}}{100}\]\[

\text{Increase} = \$456.00 * (125)/(100) = \$456.00 * 1.25 = \$570.00\]

Now, we add this increase to the original purchase cost to find the selling price:

\[\text{Selling Price} = \text{Purchase Cost} + \text{Increase}\]\[\text{Selling Price} = \$456.00 + \$570.00 = \$1026.00\]

Step 2: Calculate the Sales Tax

The customer pays an additional 8% sales tax on the selling price. To find the sales tax, we use:

\[\text{Sales Tax} = \text{Selling Price} * \frac{\text{Sales Tax Percentage}}{100}\]\[

\text{Sales Tax} = \$1026.00 * (8)/(100) = \$1026.00 * 0.08 = \$82.08\]

Step 3: Add the Sales Tax to the Selling Price

Finally, to find out how much the customer pays in total, we add the sales tax to the selling price:

\[\text{Total Cost} = \text{Selling Price} + \text{Sales Tax}\]\[\text{Total Cost} = \$1026.00 + \$82.08 = \$1108.08\]

The customer pays $1108.08 for the furniture.


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This year, Carlos planted 6 more than one-third of the cucumber plants he planted last year. How many cucumber plants did he plant this year if last year he planted 12 plants?

Answers

Equation is the mathematical statement that two expression are equal.  The total number of cucumber plant, planted by Carlos is 10.

Given information-

This year, Carlos planted 6 more than one-third of the cucumber plants he planted last year.

The total number of cucumber plants he planted last year is 12.

Convert the statements given in the problem in the form of equation to find the number of cucumber plant.

What is mathematical equation?

Equation is the mathematical statement that two expression are equal.  

Suppose Carlos planted x plants this year. As Carlos planted 6 more than one-third of the cucumber plants he planted last year and the total number of cucumber plants he planted last year is 12. Thus,

x=6+(1)/(3)*12\nx=6+4\nx=10

Hence the total number of cucumber plant, planted by Carlos is 10.

Learn more about the mathematical equation here;

brainly.com/question/14933717

he planted 10.
1/3 of 12 is 4.
he planted 6 more than 4.
4+6=10

100 students take a course pass/fail. If they pass they get 4 points towards their GPA, if they fail they get 0. If 90 students pass, what is the mean and standard deviation (to 1 decimal) of the points earned?Mean: ________a0

Standard Deviation:________ a1

Answers

Formulas
Mean = total sum of points / # of data
[Stantard deviation] ^ 2 = {Sum of [every data - mean]^2 } / [number of data - 1]

Procedure:

Mean = total sum of points / # of data

Total sum of points = point of pass + point of fail

points of pass = 90*4 = 360
point of fail = 10*0 = 0
Total sum of points = 360

Number of data = 100

Mean = 360/100 = 3.6

[Stantard deviation] ^ 2 = {Sum of [every data - mean]^2 } / [number of data - 1]

[Sum of every data - mean]^2  = 90*[4 -3.6]^2 + 10* [0 - 3.6]^2 = 14.4 + 129.6 = 144

 [Stantard deviation] ^ 2 = [144]/[100-1] =144/99

Standar deviation = √(144/99) = 1.206


I need help guys with this including steps ..

Answers

Answer:

1. When adding you just add the numbers from the same space so

3  7

10 45

2. Same as adding but the opposite

2  1  2

3  1  6

1  2  1

 

Step-by-step explanation:

jimmy has a 60 gallon limit if he already has 1/4 of it how much more does he need to fill up the entire 60 gallons of gas? why?

Answers

I think 60 - 25 = 35 because, 1/4 is equal to a quarter for example: 3/4 is 75. Think of money! Act like someone gives you 2/4’s of Quarters and how much do they give you? 50 cents.

What is the slope of the graph of 6x + 12y = 7?

 

Answers

6x+12y=7\ \ \ \ /-6x\n\n12y=-6x+7\ \ \ \ /:12\n\ny=(-6x+7)/(12)\n\ny=-(6)/(12)x+(7)/(12)\n\ny=-(1)/(2)x+(7)/(12)\n\nAnswer:m=-(1)/(2)

Use the table of net profits and losses to find the net profit for the week.Chris's Sandwich Cart
Monday Tuesday Wednesday Thursday Friday Saturday Sunday
–$225 $110 –$50 $225 $275 $100 $75

A.
$1060

B.
$610

C.
$510

D.
–$1060

Answers

a is the right answer i think