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Free_Kalibri [48]
2 years ago
13

An employee compiled sales data for a company once each month. The scatter plot below shows the sales (in multiples of $1000) fo

r the company over time (in months). The equation represents the linear model for this data.
y = 0.94x + 12.5



According to the model, what will the company's sales be after 40 months?


Enter your answer in the box.

$

Mathematics
2 answers:
jolli1 [7]2 years ago
8 0

Answer:

$12,500

Step-by-step explanation:

question is: According to the model, what were the company's sales when the employee began collecting data?

ss7ja [257]2 years ago
3 0

Answer:

$50,100

Step-by-step explanation:

Given the scatter plot and the linear model, we can estimate that the total sales for the company after 40 months will be close to $50,000.  However, in order to get a more precise answer, we can solve for the total sales, 'y', based on the number of months, 'x', in the given linear model:

y = 0.94(40) + 12.5  = 37.6 + 12.5 = 50.1

Since the amount of sales is in multiples of $1000:

50.1 * 1,000 = $50,100

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Answer:   8 (Pi - sqrt(3))

Discussion:

The area of the shaded region is that of the semicircle minus the area of the triangle..

Area of semicircle = 1/2 * Pi * R^2        

   Where R^2 is the square of the radius of the circle. In our case, R ( = OC)

    = 4 so the semicircle area is

   (1/2) * Pi * (4^2) = (1/2) * Pi * 16 = 8 Pi

Area of triangle.

  First of all, angle ACB is a right angle ( i.e. 90 degrees).

    * This is the Theorem of Thales from elementary Plane Geometry. *

 so by Pythagoras

   AC^2 + BC^2 = AB^2

But CB = 4 (given) and AB = 4*2 = 8 ( the diameter is twice the radius).

Substituting these in Pythagoras gives

   AC^2 + 4^2 = 8^2 or

   AC^2 = 8^2 - 4^2- = 64 - 16 = 48

   Hence AC = sqrt(48) = sqrt (16*3) = 4 * sqrt(3)

We are almost done! The area of the triangle is given by

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6 0
2 years ago
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