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2 years ago

Please help! It's due soon.

Mathematics

1 answer:

Sedbober [7]2 years ago

6 0

Answer:

Because f(g(x)) = g(f(x)) = x, f and g are inverse functions.

Step-by-step explanation:

f(g(x)) = f( $\frac{1}{4}\sqrt{x}$ ) = $16(\frac{1}{4}\sqrt{x} ) ^{2} = 16(\frac{1}{16}x)=x$

g(f(x)) = g $(16x^{2}) = \frac{1}{4}\sqrt{16x^{2} } = \frac{1}{4}(4x) = x$

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The Bridal Shop bought a dress from a supplier for $105 wholesale and applied a 65% markup to the price. If a 7.5% sales tax wer

Novay_Z [31]

Answer:

The correct answer is 149.00.

Step-by-step explanation:

Part = Percent • Whole

Adding a 65% markup to the original price of 105 is simply multiplying the price by the decimal form of the markup, then adding that to the original price. Next, you would find 20% of your sum by multiplying the sum by 0.20. Then you would find 7.5% of that and add this to the price.

Solve:

105 • 0.65 = 68.25 Find 65% of 105

105 + 68.25 = 173.25 Add the markup to the price

173.25 • 0.20 = 34.65 Find the discount of the new price

173.25 - 34.65 = 138.60 Subtract discount from price

138.60 • 0.075 = 10.395 Find sales tax of new price (Or round to 10.40)

138.60 + 10.395 = 148.995 Add sales tax to new price (Or 149)

Because money only goes to the hundredths place, we can either start rounding to that place in the second to last step - rounding 10.395 to 10.40 - or we can round our answer - 148.995 rounds to 149. Either way, we will still get an answer of $149.00.

Hope this helps.

♥A.W.E.S.W.A.N.♥

3 0

2 years ago

Read 2 more answers

Suppose your school cost for this term were $7600 and financial aid covered 3/4 of that amount

netineya [11]

Financial aid would cover 5,700 and you would need to pay 1,900

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2 years ago

Roland bought a dresser for k dollars. After restoring it, he sold it for 3.1k dollars. Which is another way to describe the cha

xxMikexx [17]

Answer: 210 percent increase

Step-by-step explanation: So w know the starting value is k so we can replace it with 1 dollar

now we know he bought the dresser for 1 dollar and sold it for 3.10 dollars

First we have to subtract the starting value 3.1 - the original value

3.1 - 1 = 2.1

then we have to divide that number by the starting value

2.1 divided by 1 = 2.1

Lastly multiply times 100 to get the percent increase

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Can you be more specific

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web based software company is interested in estimating the proportion of individuals who use the Firefox browser. In a sample of

nata0808 [166]

<h2>Answer with explanation:</h2>

Let $\hat{p}$ denotes the sample proportion.

As per given , we have

n= 200

$\hat{p}=\dfrac{30}{200}=0.15$

Critical value for 99% confidence : $z_{\alpha/2}=2.576$

Confidence interval for population proportion :-

$\hat{p}\pm z_{\alpha/2} \sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}\\\\=0.15\pm (2.576)(\sqrt{\dfrac{0.15(1-0.15)}{200}})\\\\\approx0.15\pm0.065\\\\=(0.15-0.065,\ 0.15+0.065)\\\\=(0.085,\ 0.215)$

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The lower limit on the 99% confidence interval = 0.085

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