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hram777 [196]
3 years ago
9

A furniture store is having a weekend sale and is offering a 20% discount on patio chairs and tables. The sales tax on furniture

is 6.25%. Using function composition, how can you represent the total amount, A, that you would need to pay for furniture that costs x dollars?
Mathematics
2 answers:
Ivan3 years ago
6 0

Answer:

P(x)=0.085x

Step-by-step explanation:

Let the cost of the item be x

Discount = 20% of x

We know that 20%=\frac{20}{100}

Hence

Discount = 0.02x

Selling Price = x - 0.02x

Selling Price = 0.08x

Tax = 6.25% of Selling price

Tax = 0.0625*(0.08)x

Tax=0.005x

Net payment to be made = selling price + Tax

Net Payment = 0.08x+0.005x

Net payment = 0.085x

Hence we can write our function as

P(x)=0.085x

dalvyx [7]3 years ago
4 0
First, we subtract 20% of the amount from x, so the initial cost of the furniture should be 80% of x or 0.80x. Then, due to the sales taxs, this amount should be added with 6.25% of itself. Such that,
                                   A = 0.80x + 0.0625(0.80x)
                                       = 0.85x
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3 0
3 years ago
What is the z-score of a newborn who weighs 4,000 g?.
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The z-score of the considered newborn having 4,000 g weight is \dfrac{4000 - \mu}{\sigma}

<h3>How to get the z scores?</h3>

If we've got a normal distribution, then we can convert it to standard normal distribution and its values will give us the z score.

If we have

X \sim N(\mu, \sigma)

(X is following normal distribution with mean \mu and standard deviation  \sigma)

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Z = \dfrac{X - \mu}{\sigma}, \\\\Z \sim N(0,1)

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Also, know that if we look for Z = z in z tables, the p value we get is

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Then, the z-score for X = 4000 is

z = \dfrac{x - \mu}{\sigma} = \dfrac{4000 - \mu}{\sigma}

Thus, the z-score of the considered newborn having 4,000 g weight is \dfrac{4000 - \mu}{\sigma}

Learn more about z-scores here:

brainly.com/question/13299273

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