Answer:
y=3x-(-2,-13)
Step-by-step explanation:
Answer:
a)
28000 + 3000·x = 36000 + 2000·x --> x = 8 years
b)
28000 + 3000·8 = $52000
Answer:
$551
Step-by-step explanation:
The maximum profit is found where the derivative of the profit function is 0.
y' = -2x +62 = 0
x = 62/2 = 31
Then the maximum profit is ...
y = (-x +62)x -410
y = (-31 +62)(31) -410 = 961 -410 = 551
Assuming the profit is in dollars, the maximum profit the company can make is 551 dollars.
Answer:
119j+28
Step-by-step explanation:
7(17j+4) Remove the parentheis
distribute 7 through the parentheis
The area of the shaded region is
.
Solution:
Given radius = 4 cm
Diameter = 2 × 4 = 8 cm
Let us first find the area of the semi-circle.
Area of the semi-circle = 


Area of the semi-circle =
cm²
Angle in a semi-circle is always 90º.
∠C = 90°
So, ABC is a right angled triangle.
Using Pythagoras theorem, we can find base of the triangle.




cm
Base of the triangle ABC =
cm
Height of the triangle = 4 cm
Area of the triangle ABC = 

Area of the triangle ABC =
cm²
Area of the shaded region
= Area of the semi-circle – Area of the triangle ABC
= 
= 
Hence the area of the shaded region is
.