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Ber [7]
2 years ago
14

The Amount of sales tax on a new car varies directly to the purchase price of the car. On a 25,000 car, sales tax is 1,750. What

's the purchase price of a new car with 3,500 in sales tax?
Please show your work because I still don't understand it and don't know how to do it.
Mathematics
1 answer:
Gekata [30.6K]2 years ago
6 0

Answer:

50,000

Step-by-step explanation:

1st car had $1,750 tax

2nd car has $3,500 tax

1750(2) = 3500

 

so your tax doubled so the price must be doubled.

The car is $50,000

Algebraically using direct variation:

 

t = kp    where t=tax, p = purchase price, 

             and k is constant of variation

 

1750 = 25000k

k = 1750/25000

k = 0.07

 

Your equation is:  t = 0.07p

3500 = 0.07p

p = 3500/0.07

p = $50,000

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Which is the best estimate of the area of the figure in square centimeters
laila [671]

Answer:

38.28 cm = D. 38

Step-by-step explanation:

Area of the Rectangle: l x w

Length: 6 cm

With: 4 cm

Area = 4 x 6

Area of Rectangle: 24 cm

Area of the Triangle: lw(1/2)

Length: 4 cm

Width: 4 cm

Area: 4 x 4 = 16 x 1/2 = 8

Area of Triangle: 8 cm

Area of the Circle: pi x r^2 x 1/2

Radius: 2 cm

Pi: 3.14

Area: 3.14 x 2^2

Area: 3.14 x 4 = 12.56

Area of Circle: 12.56 x 1/2

Lastly, you add them all together:

24 + 8 + 6.28 = 38.28 cm

4 0
3 years ago
Construction paper cost $0.10 per square inch. How much will Susan spend to make this figure out of construction paper? ​
AfilCa [17]

The will spend $33.60 (option C) to make the figure out of construction paper, if the construction paper cost $0.10 per square inch.

Step-by-step explanation:

The given is,

                 Construction paper cost $0.10 per square inch

                 Pyramid diagram with dimensions

Step:1

               Formula to calculate the area of pyramid,

                            Area, A = lw+l\sqrt{(\frac{w}{2}) ^{2} + h^{2} } +w \sqrt {(\frac {l} {2}) ^{2} + h^{2} }..............(1)

             Where,

                        l - Base length

                      w - Base width

                      h - Height of pyramid

             From given,

                       l = 12 inches

                     w = 12 inches

            For height of pyramid,

             By using Pythagorean theorem,

                                       Hypotenuse^{2} = Base^{2} + Height ^{2}.................(2)

              For right angle triangle,

                                             Base = \frac{12}{2} = 6 inches

              Equation (2) becomes,

                                                  8^{2} = 6^{2} + Height^{2}

                                        Height^{2} = 8^{2} - 6^{2}

                                        Height^{2} = 64 -36 = 28

                                          Height = \sqrt{28}

                                          Height = 5.2915 inches

                    h - 5.2915 inches

                Equation (1) becomes,

                       A = (12)(12)+(12)\sqrt{(\frac{12}{2}) ^{2} + 5.2915^{2} } +(12 )\sqrt {(\frac {12} {2}) ^{2} + 5.2915^{2} }

                          = 144+(12)\sqrt{(36+27.999)} +(12)\sqrt{(36 + 27.999)}    

                          = 144+(12)\sqrt{63.999}+(12)\sqrt{63.999}

                          = 144+(12)(7.9999)+(12)(7.9999)

                          =144+95.999+95.999

                          =335.998      

                          ≅ 336 square inches

                Where,

                         $0.10 per square inch ( from given)

                 Paper cost of total figure = 336 square inches

                                                             = 336 × 0.10

                                                             = $ 33.60

Result:

           The will spend $33.60 to make the figure out of construction paper, if the construction paper cost $0.10 per square inch.

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