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andriy [413]
3 years ago
12

Clarissa works in sales for a software company. Her pay each month varies, because each month she receives a base pay of $2,400.

00 plus 8% commission on her sales. During the month of November, Clarissa had $18,000.00 in sales. For the month of November, % of Clarissa's pay was from her commission.
Mathematics
1 answer:
Natasha_Volkova [10]3 years ago
5 0
If Clarissa had $18,000 in sales during the month of November, and she earns an 8% commission on the dollar value of her sales, then we first need to find out how much she made on commissions alone for the month of November. We can do that by multiplying the percentage by the amount of money she made off of sales.

To do this, we first must convert the percentage into a decimal. We can do this by either dividing the percent by 100, or (my personal shortcut) just shifting the decimal point over 2 places to the left.

8% = 0.08

Now, we multiply the decimal by the amount she made

0.08 * 18000 = 1440

So Clarissa made $1,440 off of commissions. But that's not what the question is asking. It wants to know what percentage of Clarissa's income for the month of November was from commissions. We can do this by adding her base pay to the amount she made from commissions, and then dividing the amount she got from commissions by the total amount she made for the month of November.

2400 + 1440 = 3840

1440 / 2840 = 0.375

We can convert this decimal back to a fraction by multiplying by 100

0.375 = 37.5%

37.5% of Clarissa's pay for the month of November was from commissions.
Hope that helped =)
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Answer:

The number of ways the committee be chosen is 295 ways.

Step-by-step explanation:

There are 6 men and 8 women.

A committee of 4, in which there must be at least 1 woman.

Let W- woman. M - man

So the combinations are: 1W, 3M or 2W, 2M or 3W, 1M or 4W

Now we have to use the combination formula and find the answer.

nCr = \frac{n!}{r!(n-r)!}

Using the above formula, we can find the answer.

4C1 × 7C3 + 4C2×7C2 + 4C3×7C1 + 4C4

= = \frac{4!}{1!(4-1)!} .\frac{7!}{3!(7-3)!} +\frac{4!}{2!(4 -2)!} .\frac{7!}{2!(7 -2)!} + \frac{4!}{3!(4 -3)!} .\frac{7!}{1!(7-1)!} +\frac{4!}{4!(4-4)!}

Simplifying the above factorials, we get

=4×35 + 6×21 + 4×7 + 1

= 140+126+28+1

= 295

The number of ways the committee be chosen is 295 ways.

6 0
4 years ago
Roy bought running shoes for $44.98. If the sales tax is 7%, how much did he pay in total?
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If a manufacturer conducted a survey among randomly selected target market households and wanted to be 95​% confident that the d
katen-ka-za [31]

Answer:

We need a sample size of least 119

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

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The margin of error is:

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95% confidence level

So \alpha = 0.05, z is the value of Z that has a pvalue of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.

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At least n, in which n is found when M = 0.09

We don't know the proportion, so we use \pi = 0.5, which is when we would need the largest sample size.

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

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0.09\sqrt{n} = 1.96*0.5

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(\sqrt{n})^{2} = (\frac{1.96*0.5}{0.09})^{2}

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Rounding up

We need a sample size of least 119

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