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mestny [16]
3 years ago
6

an item that cost $50 is marked 20% off. Sales tax for the item is 8%. What is the final price including tax? Solve the problem

with the discount applied before the sales tax. Solve the problem with the discount applied after the sales tax.
Mathematics
1 answer:
kramer3 years ago
6 0

Answer:

  $43.20

Step-by-step explanation:

The price with tax is 100% + 8% = 1.08 times the price before tax. The discount multplies that price by 100% -20% = 0.80. The discount multiplier is the same whether the discount is applied before or after the tax.

The combined effect of the two multipliers is ...

... 1.08 × 0.80 = 0.864

so the discounted price with tax added is 0.864 × $50 = $43.20

_____

Perhaps you're supposed to figure the tax (8% of $50 = $4), add the tax ($50 +4 = $54), then subtract the discount (20% of $54 = $10.80) to get

  $54.00 -10.80 = $43.20

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A survey is planned to estimate the proportion of voters who support a proposed gun control law. The estimate should be within a
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Complete Question

A survey is planned to estimate the proportion of voters who support a proposed gun control law. The estimate should be within a margin of error of ±5% with 90% confidence, and we do not have any prior knowledge about the proportion who might support the law. How many people need to be included in the sample?

Round your answer up to the nearest integer.

sample size = _____

Answer:

The sample size is n = 271    

Step-by-step explanation:

From the question we are told that  

   The margin of error is  E = 5% = 0.05

Generally given that there was no prior knowledge about the proportion of who might support the law, we will assume the sample proportion to be  

     \^ p =  0.5

From the question we are told the confidence level is  90% , hence the level of significance is    

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Generally the sample size is mathematically represented as  

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=>   n = 271    

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