Answer:
To have maximum profit, the price must be increased by 5,
Step-by-step explanation:
Given that the price increase function is:
f(x) = -2x² + 20x + 150,
For maximum profit, then f(x) = 0.
Putting f(x) = 0, we have
-2x² + 20x + 150 = 0
Or
x² - 10x - 75 = 0
(x + 5)(x - 15) = 0
x = -5
Or
x = 15
Again, differentiating f(x) and equating to zero, we have
-4x + 20 = 0
4x = 20
x = 20/4
= 5
To have maximum profit, the price must be increased by 5,
If you want to round to the nearest tenth the answer would be 80• and 51•
Answer:
The angle is 1560°
Step-by-step explanation:
The length of an arc in radian is given by s=rФ
where s=length of an arc, r=radius and Ф = angle in radians
The question asked us to find the angle
Given to us is; r =6m and s=52π and Фis what we are to find
From the formula s= rФ
Ф= s/r = 52πm/6m
Ф=52π/6
Ф=26π/3 radians
But the question states that the angle should be in degree, so we will change the above angle to degree, to do that we will simply multiply the angle by 180°/π
Thus;
Ф=26π/ 3 × 180°/π
(The π at the numerator will cancel that of the denominator, and 180° will be divided by 3 to give 60°, we will be left with just 26 and 60 at the numerator)
Ф = 26× 60°
Ф=1560°
Therefore, the central angle (in degree) subtended by an arc with length 52πmeters and radius 6 meters is 1560°
Answer:57/100
Step-by-step explanation:
First, convert 3/10 into hundreths to get a denominator equal to the other:
3/10 km = 30/100km
Add the numerators: 27+30=57
Place numerator over common denominator: 57/100
5.21.
To find this, give both numbers decimal points before setting up a subtraction equation as so:
15.00 - 9.79
Then proceed to solve to get the final answer of 5.21.
Hope this helps!
