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Ostrovityanka [42]
3 years ago
15

Stacy bought a skateboard at a local sporting goods store. The skateboard was on sale for 10% off the original price. The store

then charges 10% sales tax.
a. How does the original price compare to the final price?

b. Would the final price be different if the 10% sales tax was added first and then the 10% discount was applied to this new amount?
Mathematics
1 answer:
riadik2000 [5.3K]3 years ago
4 0
The original price will be larger than the final price because you would be taxing the discounted price not the original price.

Yes. If you add the sales tax first then the discount wont be on just the product. it would be on the product and the tax with the product. so you have to first get the discounted price from the store and then tax for the county.
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6 0
3 years ago
Solve triangle ABC. (If an answer does not exist, enter DNE. Round your answers to one decimal place. Below, enter your answers
OleMash [197]

Answer:

∠A1 = 27.4°, ∠A2 = 56.6°, ∠C1 =104.6°, ∠C2=75.4°, a1 = 79.9 and a2 = 144.9

Step-by-step explanation:

From Sine rule

\frac{a}{sinA}=\frac{b}{sinB} = \frac{c}{sinC}

∴ b / sinB = c / sinC

From the question,

b = 129, c = 168 and ∠B = 48°

∴ 129 / sin48° = 168 / sinC

Then, sinC = (168×sin48)/129

sinC = 0.9678

C = sin⁻¹(0.9678)

C = 75.42

∠C2=75.4°

and

∴∠C1 = 180° - 75.4°

∠C1 =104.6°

For ∠A

∠A1 = 180° - (104.6°+48°) [sum of angles in a triangle]

∠A1 = 27.4°

and

∠A2 = 180° - (75.4° + 48°)

∠A2 = 180° - (123.4°)

∠A2 = 56.6°

For side a

a1/sinA1 = b/sinB

a1/ sin27.4° = 129/sin48

a1 = (129×sin27.4°)/sin48

a1 = 79.8845

a1 = 79.9

and

a2/sinA2 = b / sinB

a2/ sin56.6° = 129/sin48

a2 = (129×sin56.6°)/sin48

a2 = 144.9184

a2 = 144.9

Hence,

∠A1 = 27.4°, ∠A2 = 56.6°, ∠C1 =104.6°, ∠C2=75.4°, a1 = 79.9 and a2 = 144.9

4 0
3 years ago
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Answer:

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Step-by-step explanation:

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6 0
4 years ago
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salantis [7]

Answer:

22.5

Step-by-step explanation:

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