Answer:
slope = 3
Step-by-step explanation:
Calculate the slope m using the slope formula
m = 
with (x₁, y₁ ) = (1, 2) and (x₂, y₂ ) = (3, 8)
m =
=
= 3
p = number of items sold (note: this is not the profit)
1 item sells for $855, so p items sell for 855p dollars
Subtract off the cost of 6780 and we have the expression 855p-6780 which is the profit for that given month.
Now plug in p = 250 because 250 items were sold in that given month
855*p - 6780 = 855*250 - 6780 = 206,970
The company earns $206,970 in profit for that month. Apply 15% to this value
15% of 206,970 = (15/100)*206,970 = 0.15*206,970 = 31,045.50
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Answer: $31,045.50 which is choice C
Volume of Solids
The volume of the solid is 758.83 in³
Step-by-step explanation:
Given that the cone and half sphere is hollow
The volume of the cone =
The Volume of the sphere = 
So the Volume of the half sphere =
The volume of solid = volume of cone + volume of the half sphere

Given
height h = 19 in
radius r = 5 in
= 
= 1/3 × 3.14 × 5 × 5 × 19
= 497.16 in³

= 2/3 × 3.14 × 5 × 5 × 5
= 261.67 in³
V = 497.16 in³ + 261.67 in³
= 758.83 in³
Hence the volume of the solid is 758.83 in³