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3 years ago

PLEASE HELP!! I NEED HELP WITH THIS PROBLEM!

Mathematics

1 answer:

valkas [14]3 years ago

5 0

His basic salary is $ 2,500, his commission on sales is 3% (on sales only)
At the end of te month he got $3,040

Let x be the TOTAL sales performed during this month, so the money generated from sales (only) is (x).(3%), Hence the equation:

2500 + (x).(3%) = 3040
2500 + x(0.03) = 3040
x(0.03) = 3040-2500
x(0.03) = 540

and x = 540/0.03
x = $18,000

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For this problem, we simply need to take the derivative of the function and evaluate when y = 0 (when crossing the x-axis).

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2 years ago

A.) The median player salary for the New York Yankees was $1.5 million in 2007 and $1.7 million in 2013. Write a linear equation

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A general linear equation is given by:

$y = a*x + b$

Where a is the slope and b is the y-intercept.

Here we will find that the linear equation that represents the situation is

$y = 0.033*x + 1.269$

And we can expect that the median salary in 2048 is $2.853 million

If the line passes through the points (x₁, y₁) and (x₂, y₂) then the slope can be written as:

$a = \frac{y_2 - y_1}{x_2 - x_1}$

Here we know that:

in 2007 (x = 7) the median player salary was y = $1.5 million

in 2013 (x = 13) the median player salary was y = $1.7 million.

Then we have two points that we can write as:

(7, 1.5)

(13, 1.7)

Note that the y-value is in millions.

Then the slope of the linear equation will be:

$a = \frac{1.7 - 1.5}{13 - 7} = 0.033$

So the linear equation is something like:

$y = 0.033*x + b$

To find the value of b, remember the point (7, 1.5), this means that when we have x = 7, we also have y = 1.5, then we can replace these in the above equation:

$1.5 = 0.033*7 + b\\\\1.5 - 0.033*7 = b = 1.269$

Then the linear equation is:

$y = 0.033*x + 1.269$

b) Now we want to predict the median salary in 2048. For 2048 the x-value is x = 48

So we just need to evaluate this in the linear equation:

$y = 0.033*48 + 1.269 = 2.853$

Then the median salary in 2048 will be $2.853 million

If you want to learn more, you can read:

brainly.com/question/1189779

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