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hodyreva [135]
3 years ago
8

Use the original price and the markup to find the retail price.

Mathematics
1 answer:
Ber [7]3 years ago
5 0

Answer:

$45.15

Step-by-step explanation:

When you are dealing with questions with percents in them—like this one—you have to turn the percent into a decimal. To make 7.5% into a decimal, you move the decimal point 2 spaces to the left. So, 7.5% is also 0.075.

Now, we have to use this formula for these types of questions:

x + x(y)= the price with tax (or markup)

So, we can substitute the variables.

42+42(0.075)=the retail price

42(0.075)=3.15

42+3.15=45.15

So, the retail price will be $45.15

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k0ka [10]

We can rewrite the expression under the radical as

\dfrac{81}{16}a^8b^{12}c^{16}=\left(\dfrac32a^2b^3c^4\right)^4

then taking the fourth root, we get

\sqrt[4]{\left(\dfrac32a^2b^3c^4\right)^4}=\left|\dfrac32a^2b^3c^4\right|

Why the absolute value? It's for the same reason that

\sqrt{x^2}=|x|

since both (-x)^2 and x^2 return the same number x^2, and |x| captures both possibilities. From here, we have

\left|\dfrac32a^2b^3c^4\right|=\left|\dfrac32\right|\left|a^2\right|\left|b^3\right|\left|c^4\right|

The absolute values disappear on all but the b term because all of \dfrac32, a^2 and c^4 are positive, while b^3 could potentially be negative. So we end up with

\dfrac32a^2\left|b^3\right|c^4=\dfrac32a^2|b|^3c^4

3 0
3 years ago
Helppp I need help ASAP
max2010maxim [7]

Answer:

it would be B

Step-by-step explanation:

the ratio of tomatoes to cheese slices is 18:4 1/2 so that would be 25% of tomatoes.

3 0
3 years ago
Read 2 more answers
Y=3x + 4<br>What is the slope?​
slega [8]

Answer:

3

Step-by-step explanation:

In a slope intercept linear equation, the slope is always the number in front of the x value in an equation like y = mx + b.

So the slope is the 3 in front of the x value.

6 0
2 years ago
Suppose a marketing company wants to determine the current proportion of customers who click on ads on their smartphones. It was
andrezito [222]

Answer:

The 92% confidence interval for the true proportion of customers who click on ads on their smartphones is (0.3336, 0.5064).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

For this problem, we have that:

n = 100, p = 0.42

92% confidence level

So \alpha = 0.08, z is the value of Z that has a pvalue of 1 - \frac{0.08}{2} = 0.96, so Z = 1.75.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.42 - 1.75\sqrt{\frac{0.42*0.58}{100}} = 0.3336

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.42 - 1.75\sqrt{\frac{0.42*0.58}{100}} = 0.5064

The 92% confidence interval for the true proportion of customers who click on ads on their smartphones is (0.3336, 0.5064).

4 0
3 years ago
Could someone help me with this?
Natasha_Volkova [10]
It looks like a 126%angle ok
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3 years ago
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