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Cloud [144]
2 years ago
10

1. Anike needs a new pair of athletic shoes for her soccer tryouts. The regular price for the shoes is $129.00. There is a sales

tax of 7%. Anike has a budget of $150.00. How much money will Anike have left after this purchase? Round to the nearest cent, like $7.15.
50−(129+129(0.07))=$11.97
129+129(0.07)=$138.03
150+129(0.07)=$140.97
150−(129+150(0.07)=$10.50

2. Harper has budgeted $525 to purchase a new laptop. She found one on sale for $500, and the sales tax is 6.25% in her state. How much will she actually have to pay for the laptop?

$31.25
$531.25
$468.75
$500.00

3. Mr. Robinson is planning to buy a house with the appraised value of $250,000. The property tax rate is 37.658. What are his yearly property tax fees?

$9314.00
$9314.50
$9414.50
$9400.15


PLEASE HELP IM JUST TRYING TO GET PASSED FINANCIAL MATH D:
Mathematics
1 answer:
yKpoI14uk [10]2 years ago
6 0

Answer:

$150-$129-($129*7%)=$11.97

$531.25

$9414.5

Step-by-step explanation:

The amount that Anike would have left is the budgeted amount minus the regular price as well as the applicable sales tax.

Amount left=$150-$129-($129*7%)=$11.97

The amount that Harper would have to pay is the purchase price of $500 plus the 6.25% of sales price as sales tax i.e $500+$500*6.25%=$531.25

The yearly tax fees is the appraised value multiplied by property tax rate i.e $250,000*3.7658%=$9414.5

The property tax rate is 3.7658% not 37.658%

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The surface area of the pyramid is 60 square feet

The surface area of the square prism is 480 square feet

The surface area of the cube is 180 square feet

The total surface area is 720 square feet

<h3>Area of Composite figures</h3>

From the question, we are to calculate the surface area of each part of the composite figure

  • For the cube

Surface area of a cube is given by

S = 6l^{2}

Where l is the length of a side

But only have 5 surfaces of the cube are part of the composite figure

∴ Surface area of the cubic part of the figure = 5l^{2}

From the given information,

l = 6 \ feet

∴ Surface area of the cubic part of the figure = 5 × 6²

Surface area of the cubic part of the figure= 180 square feet

  • For the square prism

The surface area of a square prism is given by the formula,

S = 2l^{2} + 4lh

Where l is the length of the sides and

h is the height

But the <u>square surfaces</u> are not part of the surface of the figure

∴ Surface area of the square prism in the figure = 2l^{2} + 4lh -  2l^{2}

Surface area of the square prism in the figure = 4lh

From the given information,

l = 6 \ feet

h = 20 \ feet

Thus,

Surface area of the square prism part of the figure = 4×6×20

Surface area of the square prism part of the figure = 480 square feet

  • For the pyramid

The pyramid is a square pyramid

The surface area of a square pyramid is given by

S = l^{2} + 2l\sqrt{\frac{l^{2} }{4}+h ^{2} }

Where l is the base length

and h is the height of the prism

But the <u>square base</u> is not part of the surface of the figure

∴ Surface area of the pyramid part of the figure = l^{2} + 2l\sqrt{\frac{l^{2} }{4}+h^{2}  }\  - ( l^{2})

Surface area of the pyramid part of the figure = 2l\sqrt{\frac{l^{2} }{4}+h^{2}  }

From the given information,

l = 6 \ feet

h = 4 \ feet

∴ Surface area of the pyramid part of the figure = 2(6)\sqrt{\frac{6^{2} }{4}+4^{2}  }

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= 12\sqrt{9+16 }

= 12\sqrt{25}

= 12 × 5

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Hence, the surface area of the pyramid is 60 square feet

Thus,

The total surface area = 180 square feet + 480 square feet + 60 square feet

The total surface area = 720 square feet

Hence, the total surface area is 720 square feet

Learn more on Calculating area of composite figures here: brainly.com/question/13175744

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