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forsale [732]
2 years ago
10

Alexander is a stockbroker. He earns 14% commission each week. Last​ week, he sold ​$5,400 worth of stocks. How much did he make

last week in​ commission? If he averages that same amount each​ week, how much did he make in commission in​ 2011?
Mathematics
1 answer:
Vlada [557]2 years ago
5 0

Answer:

In that one week, his commision was $896, over all 52 weeks, he made $46592

Step-by-step explanation:

So, he makes 14% commision on any stock he sells. This week, he sold $6,400 worth of stocks, and, hes going to make 14% on it. So, take 6400 and divide that by 14%, and what do you get? $896! So, he made $896 that week. Now, say he made that amount EVERY WEEK. so, all you have to do is know how many weeks are in a year (52) and multiply that by 896, which gives you 46592.

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Step-by-step explanation:

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<u>Method 1:</u>

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\alpha =\bar y-\beta \bar x

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The formula to compute the slope is:

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And the formula to compute the error is:

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<u>Method 2:</u>

The regression line can be determined using the descriptive statistics mean, standard deviation and correlation.

The equation of the line of best fit is:

(y-\bar y)=r\frac{\sigma_{x}}{\sigma_{y}} (x-\bar x)

Here <em>r</em> = correlation coefficient = r=\frac{Cov (x,y)}{\sqrt{\sigma^{2}_{x}\sigma^{2}_{y}} }

\sigma_{x} and \sigma_{y} are standard deviation of <em>x</em> and <em>y</em> respectively.

\sigma_{x}=\frac{1}{n}\sum (x-\bar x)^{2} \\\sigma_{y}=\frac{1}{n}\sum (y-\bar y)^{2}

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3 years ago
The maximum land speed of a cheetah is about 120km/hour.
andreyandreev [35.5K]

Answer:

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Step-by-step explanation:

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<em>Additional comment</em>

In general, units conversion is done by multiplying by a factor whose numerator and denominator have equal values, but different units. The units in that fraction need to be arranged to cancel the units you don't want and leave the units you do want.

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