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jekas [21]
2 years ago
7

tax on the original price of a bicycle is charged at 20% of the original price. After tax has been included, Mathew pays $1080 f

or this bicycle. calculate the original price ​
Mathematics
1 answer:
kicyunya [14]2 years ago
6 0

Answer:

Original price of bicycle = $864

Step-by-step explanation:

Given:

Rate of tax = 20%

Price pay by Mathew = $1,080

Find:

Original price of bicycle

Computation:

Original price of bicycle = Price pay by Mathew[1 / (1-20%)]

Original price of bicycle = 1,080[1 / (1-20%)]

Original price of bicycle = 1,080[1 / (1-0.2)]

Original price of bicycle = 1,080[1 / (0.8)]

Original price of bicycle = 1,080[1.25]

Original price of bicycle = 1,080[1.25]

Original price of bicycle = $864

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Mr Stevenson has 160 cows goats horses and chickens on his farm 19 percent of the animals are cows 28 percent goats 13 percent h
castortr0y [4]

Answer:

64 Chickens

Step-by-step explanation:

1. Add up the percents

19% + 28% + 13% = 60%

2. Subtract from 100%

100% - 60% = 40%

3. Multiply the total number of animals by the percent of chickens

160 * .4 = 64 Chickens



7 0
2 years ago
Read 2 more answers
Question content area top
BigorU [14]

The volume of the slice is 40 in³. The volume of the remaining cake would be 197.014 in³.

<h3>What is a regular hexagon?</h3>

A regular hexagon can be defined as a closed shape consisting of six equal sides and six equal angles.

Here we have two regular hexagons

one top small hexagon cake with a side of length = 3 in, height = 3 in

One big hexagon cake, side of length = 4 in, Height = 4 in

A slice cut such that it removes a side segment is equivalent to an equilateral triangle with a side

length = length of hexagon side

The length of the side of the removed equilateral triangle side

Top small cake slice triangle side = 3 in.

Area of surface of small slice = 1/2 x b x h = 1/2 x 3 x 3 x sin 60

                                                = 9√3/ 4

The volume of a small slice  

=  Area of surface small slice × Height of small cake

= 9√3/ 4  x 3

= 11. 69

Big cake slice triangle side = 4 in.

Area of the surface of big slice = 1/2 x 4 x 4 x sin 60

                                                    = 4√3

The volume of big slice =  Area of the surface of big slice × Height of big slice

= 16√3

= 28

The total volume of slice = Volume of small slice + Volume of big slice

Total volume of slice = 12 in³ +28 in³ = 40 in³

For the small cake,

the remaining volume = 5 x 11.69 = 58.45

For the big cake

the remaining volume = 5 x 27.71 = 138.56

Total volume remaining cake

= 58.45 in³ + 138.56 in³ = 197.014 in³

a = Length of side

h = Height of hexagon

The volume of each slice is,

= a^2 x h x √3/4

For the small cake, we have

a = 3 in.

h = 3 in.

The volume of small slice = a^2 x h x √3/4

                                   = 9 x 3 x √3/4

                                   = 27√3/4

For the big cake, we have

a = 4 in.

h = 4 in.

Volume of big slice =  a^2 x h x √3/4

                                = 16 √3

The total volume of slice = Volume of small slice + Volume of a big slice

Total volume of slice = 27√3/4 + 16 √3

The total volume of the slice = 39404 in³.

Learn more about hexagon;

brainly.com/question/16025389

#SPJ1

3 0
2 years ago
Identify which of the twelve basic functions listed below fit the description given. 1 ,y1+e y=x,y=xy=*',y = lxl.y = y=e"y= V,y
skelet666 [1.2K]

remember that local minimuns are points in which the function was decreasing and starts increasing.

you can try two ways of doing it, graphing the functions or using derivatives.

since this are twelve functios the easier way is to graph them.

start by function y=x

in this case this function is continously increasing as x increases, which means that it does not have any local maxima or minima.

now do the same for

y=x^2

this graph has a local minima on th

5 0
8 months ago
Read 2 more answers
How do you factor this?​
lubasha [3.4K]

Answer:

Step-by-step explanation:

What two numbers multiply to equal -48, but add to equal -2? The method is multiplying a*c and seeing if they add up to b. Those two numbers are -8 and +6.

6x^2-2x-8=6x^2-8x+6x-8

Now, factor by grouping

(6x^2-8x)+(6x-8)=2x(3x-4)+2(3x-4)\\(2x+2)(3x-4)

3 0
2 years ago
Social security tax that is 6.2% of her gross pay medicare tax that is 1.45% of her gross pay state tax that is 21% of her feder
user100 [1]

Marilyn's net pay will increase by $18.15 as her Federal Withholding Allowance increases from 3 to 4.

<h3>What is Federal Withholding Allowance?</h3>

A Federal Withholding Allowance is an exemption that lowers the amount of income tax you must deduct from an employee's paycheck.

Given: The following are the deductible computation:

  • For federal withholding allowance = 3:
  1. Social Security Tax: 6.2% of $810 = \frac{6.2\times810}{100} = $50.22
  2. Medicare tax : 1.45% of $810 = \frac{1.45\times810}{100} = $11.745
  3. State tax: (21% of 3)% of $810= \frac{21\times3 }{100} \times\frac{810}{100} = 0.63% of $810 = \frac{0.63\times810}{100} = $5.103

Total = $67.068; deducted amount of his gross pay = $810 - $67.068 $742.932 (3 federal withholding).

  • For Federal Withholding Allowance = 4:
  1. State tax: (21% of 4)% of $810 = (\frac{21\times4}{100}) \times\frac{810}{100} = 0.84% of $810 = \frac{0.84\times810}{100} =  $6.8704

Thus, as we can see from the calculations, the State taxes increased from $5.103 to $6.8704. Hence, the net pay increases by $18.15 as the federal allowance increases from 3 to 4.

To learn more about Federal Withholding Allowance, refer to the link: brainly.com/question/1212566

#SPJ4

4 0
1 year ago
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