Answer:
8.3units
Step-by-step explanation:
formula 2πr × x/360
where x= angle of sector
therefore
2× 22/7 × 14 × 34/360 = 8.3
20 feet
Area of a triangle:
1/2•base•height
1/2•8•5= 20
2000 dollars is owed with 9% interest rate.
Now, assuming that for 10 years, it is not being paid.
Let's calculate for the money that is now owed.
=> 2000 dollars * . 09 = 180 dollars for 1 years
=> 180 dollars * 10 years = 1800 dollars
=> 2000 + 1800 = 3800 dollars for 10 years.
C(x) = 200 - 7x + 0.345x^2
Domain is the set of x-values (i.e. units produced) that are feasible. This is all the positive integer values + 0, in case that you only consider that can produce whole units.
Range is the set of possible results for c(x), i.e. possible costs.
You can derive this from the fact that c(x) is a parabole and you can draw it, for which you can find the vertex of the parabola, the roots, the y-intercept, the shape (it open upwards given that the cofficient of x^2 is positive). Also limit the costs to be positive.
You can substitute some values for x to help you, for example:
x y
0 200
1 200 -7 +0.345 = 193.345
2 200 - 14 + .345 (4) = 187.38
3 200 - 21 + .345(9) = 182.105
4 200 - 28 + .345(16) = 177.52
5 200 - 35 + 0.345(25) = 173.625
6 200 - 42 + 0.345(36) = 170.42
10 200 - 70 + 0.345(100) =164.5
11 200 - 77 + 0.345(121) = 164.745
The functions does not have real roots, then the costs never decrease to 0.
The function starts at c(x) = 200, decreases until the vertex, (x =10, c=164.5) and starts to increase.
Then the range goes to 164.5 to infinity, limited to the solutcion for x = positive integers.
