Answer:
The volume of cone changing at rate 
Step-by-step explanation:
Let r be the radius of cone and h be the height of cone
We have to find the rate at which the volume of cone changing when r=10 in and h=20 in
Volume of cone
Differentiate w.r.t t
Substitute the values
Hence, the volume of cone changing at rate
Step-by-step explanation:
To determine if events are independent, one has to confirm if there's no relationship between the events.
Event A. Not shutting off the water in the kitchen sink.
Event B. Receiving a high water bill.
Both Events are related as Event B is proportional to Event A. This means they are not independent but rather dependent
This hexagon is split into two congruent trapezoids. You can find the area of one trapezoid and then double it to get the area of the entire hexagon. The formula for area of a hexagon is A = a + b / 2(h), where a and b are the base lengths and h is the height. The given values are as follows:
a = 40
b = 60
h = 24
Let's plug them in and solve.
A = a + b / 2(h)
A = 40 + 60 / 2(24
A = 100 / 2(24)
A = 50(24)
A = 1200
Remember we have to double the area of the trapezoid to get the area of the whole hexagon.
1200 × 2 = 2400
Answer:
The area of the hexagon is 2,400 in².
Answer: 2.01%.
Step-by-step explanation:
Suppose Alex invests $1 into the account for one year. The formula is A=P0⋅(1+rk)N⋅k with P0=$1. We know that r=0.02 and k=2 compounding periods per year. Now, N=1 year. Substituting the values we have A=$1⋅(1+0.022)2=$1.0201. Now, to calculate the effective annual yield, we will use the formula rEFF=A−P0P0. rEFF=1.0201−11=0.0201 or 2.01%. When rounded to two decimals, rEFF=2.01%. However, do not include the % in your answer.
