Answer:0.28 cents
Step-by-step explanation: we get the percentage of 8 by typing in the calculator 8*0.035 to get .28 and add that to 8 to get 8.28 total per hour.
Answer:
12.01 sticks of satay
Step-by-step explanation:
Let
Total satay bought = x
Eldest child ate = 1/6x
Youngest child ate = 0.25x
Total = 1/6x + 0.25x
= 0.167x + 0.25x
= 0.417x
Remaining satay = x - 0.417x
= 0.583x
The rest of the satay was shared equally between her other 2 children where each person ate 14 sticks of satay.
Her and her other two children = 3 people
Sticks of satay pee person = 14
Total sticks eaten by 3 people = 14 × 3
= 42 sticks
0.583x = 42
x = 42/0.583
= 72.04
x = 72.04 sticks
Total satay bought = x = 72.04 sticks
Eldest child ate = 1/6x
= 1/6 * 72.04
= 12.01 sticks of satay
Answer:
Step-by-step explanation:
Given a function f, whose derivatives are f' and f'', a value x is a critical point if f'(x) =0. A value x is a minimum of f if it is a critical point and f''(x) >0 and it is maximum if f''(x)<0. We will perfom the following steps:
1. Calculate the derivative f'.
2. Solve f'(x) =0.
3. Determine if the x value found in 2 is a minimum or a maximum using f''.
Recall the following properties of derivatives
where c is a constant.
where f,g are differentiable.
where c is a constant.
(chain rule)
Case 1: f(x) = 2+3x+3.
Using the properties from above, we have
1.
2. The equation f'(x)=0 where f'(x) = 3 has no solution.
3. Based on the previous result, f has no maximum nor minimum.
Case 2:
1.
2. We have the equation
which is equivalent to
Recall that the cosine function only takes values in the set [-1,1]. So, this equation has no solution.
3. Based on the previous result, f has no maximum nor minimum.
Since the central angle of the sector of the circle is in degrees, we need to convert it to radians, so we are going to use the formula for the area of a circular sector:
where
is the area
is the radius
is the central angle
We know form our problem that the radius of the sector is 5 in, so
. We also know that the sector's angle is 30°, so
. Lest replace those value sin our formula:
We can conclude that the expression we should use to calculate the area of the sector in the circle is: