Answer:
The answer is: C. $1407.50
Step-by-step explanation:
Buying:
30 * $20.95 + 20 * $25.50 =
$628.50 + $510 = $1138.
Selling:
50 * $28.75 = $1437.50
Remaining Cash:
$1437.50 - $30 = $1407.50
(This answer assumes Jen paid the other $30 per transaction when she bought the original shares, but had to pay $30 when she sold the shares.)
For this case, the first thing we must do is to take into account the following transformation of units:
1 revolution = 2pi radians
1 minute = 60 seconds
Applying the transformation of units we have:
Answer:
To the nearest hundredth, the angular velocity of the drum is 78.54 radians per second.
Answer:
and
in interval notation.
Step-by-step explanation:
We have been given a compound inequality
. We are supposed to find the solution of our given inequality.
First of all, we will solve both inequalities separately, then we will combine both solution merging overlapping intervals.



Dividing by negative number, flip the inequality sign:





Dividing by negative number, flip the inequality sign:


Upon merging both intervals, we will get:

Therefore, the solution for our given inequality would be
and
in interval notation.
F(x)=3x/2 for 0≤x≤2
<span>.....=6 - 3x/2 for 2<x≤4 </span>
<span>g(x) = -x/4 + 1 for 0≤x≤4 and g'(x)=-1/4 </span>
<span>so h(x)= f(g(x)) = (3/2)(-¼x+1)=-3x/8 + 3/2 for 0≤x≤2 </span>
<span>for x=1, h'(x)=-3/8 so h'(1)=-3/8 </span>
<span>When x=2, g(2)=1/2 so h'(2)=g'(2)f '(1/2)= -(1/4)(3/2)=-3/8 </span>
<span>When x=3, h(x)=6 - (3/2)(1 - x/4) = 9/2 +3x/8 </span>
<span>h'(x)=3/8 so h'(3) = 3/8</span>