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aleksklad [387]
3 years ago
6

Nadia is a stockbroker. She earns 14​% commission each week. Last​ week, she sold ​$7 comma 500 worth of stocks. How much did sh

e make last week in​ commission? If she averages that same amount each​ week, how much did she make in commission in​ 2011?
Mathematics
1 answer:
Artyom0805 [142]3 years ago
5 0

Answer:

$1050

$54,600

Step-by-step explanation:

In this question, we are looking at calculating two things. We want to calculate the amount of commission made in a week and the amount made in a year.

Firstly, to calculate the amount of commission she made last week, we simply find the percentage.

Mathematically, this is equal simply to:

14% of $7,500 = 14/100 * 7500 = $1050

She made a commission of $1050 last week

Now, we are told this is the average she makes per week. We now want to calculate how much she makes per year. To do this, what we do is to multiply what she had made in a week by the number of weeks in a year.

The number of weeks in a year is 52. The amount she made is just 52 * $1050 = $54,600

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Simplify the expression. 1/2 (-sin2x - cos 2x)
maria [59]

Answer:

1/2 (-sin2x - cos 2x)

Step-by-step explanation:

Distribute 1/2 to every term in the parentheses

4 0
3 years ago
What is -8-2r=-7v-7v+16
Mariulka [41]

Answer:

r=7v−12

Step-by-step explanation:

Let's solve for r.

−8−2r=−7v−7v+16

Step 1: Add 8 to both sides.

−2r−8+8=−14v+16+8

−2r=−14v+24

Step 2: Divide both sides by -2.

−2r

−2

=

−14v+24

−2

r=7v−12

3 0
3 years ago
If two thirds of a number is decreased by 4, the result is 56. find the number
nikitadnepr [17]
56+4=60\\\\60\times3=180\\\\180:2=\fbox{90}\\\\CHECK:\\\frac{2}{3}\times90-4=2\times30-4=60-4=56

=================================================

128-38=90\\\\90\times9=810\\\\810:5=\fbox{162}\\\\CHECK:\\\\38+\frac{5}{9}\times162=38+5\times18=38+90=128

=================================================

14.6-2.3=12.3\\\\12.3\times5=61.5\\\\61.5:3=\fbox{20.5}\\\\CHECK:\\\\\frac{3}{5}\times20.5+2.3=3\times4.1+2.3=12.3+2.3=14.6
6 0
3 years ago
Read 2 more answers
What is the value of x?
Hoochie [10]

Answer:

Answer 7

Step-by-step explanation:

This depends on setting up a proportion

5:45 ::  3: 3 + 2x + 10

You can reduce 5 / 45

5/45 = 1/9

1:9 :: 3:3 + 2x + 10

1:9 :: 3: 2x + 13

1/9 = 3/(2x + 13)                 Cross Multiply

2x + 13 = 3*9

2x + 13 = 27                      Subtract 13

2x + 13 - 13 = 27 - 13

2x = 14                              Divide by 2

2x/2 = 14/2                        Divide

x = 7

3 0
3 years ago
Rachel measured the lengths of a random sample of 100 screws. The mean length was 2.9 inches, and the population standard deviat
MaRussiya [10]

Answer:

z = 10

Step-by-step explanation:

The value of the z-statistic is given by:

z = \frac{X - \mu}{s}

In which:

X is the measured value.

\mu is the expected value.

s = \frac{\sigma}{\sqrt{n}} is the standard deviation of the sample. \sigma is the standard deviation of the population.

In this question:

The mean length was 2.9 inches, and the population standard deviation is 0.1 inch.

This means that \mu = 2.9, \sigma = 0.1

Random sample of 100 screws.

This means that n = 100.

To see if the batch of screws has a significantly different mean length from 3 inches, what would the value of the z-test statistic be?

3 inches, so X = 3

s = \frac{0.1}{\sqrt{100}} = 0.01

z = \frac{X - \mu}{s}

z = \frac{3 - 2.9}{0.01}

z = 10

8 0
3 years ago
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